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Establishment of Verified Numerical Computation

Research Project

Project/Area Number 17002012
Research Category

Grant-in-Aid for Specially Promoted Research

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Engineering
Research InstitutionWaseda University

Principal Investigator

OISHI Shin'ichi  Waseda University, 理工学術院, 教授 (20139512)

Co-Investigator(Kenkyū-buntansha) 渡部 善隆  九州大学, 数理(科)学研究科(研究院), 助教授 (90243972)
西田 孝明  早稲田大学, 理工学術院, 教授 (70026110)
柴田 良弘  早稲田大学, 理工学術院, 教授 (50114088)
山本 野人  電気通信大学, 電気通信学部, 教授 (30210545)
中尾 充宏  九州大学, 数理学研究院, 教授 (10136418)
Co-Investigator(Renkei-kenkyūsha) NAKAO Mitsuhiro  九州大学, 数理学研究院, 教授 (10136418)
NISHIDA Takaaki  早稲田大学, 理工学術院, 教授 (70026110)
SHIBATA Yoshihiro  早稲田大学, 理工学術院, 教授 (50114088)
YAMAMOTO Nobito  電気通信大学, 電気通信学部, 教授 (30210545)
WATANABE Yoshitaka  九州大学, 情報基盤研究開発センター, 准教授 (90243972)
Project Period (FY) 2005 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥428,610,000 (Direct Cost: ¥329,700,000、Indirect Cost: ¥98,910,000)
Fiscal Year 2009: ¥73,580,000 (Direct Cost: ¥56,600,000、Indirect Cost: ¥16,980,000)
Fiscal Year 2008: ¥73,580,000 (Direct Cost: ¥56,600,000、Indirect Cost: ¥16,980,000)
Fiscal Year 2007: ¥105,560,000 (Direct Cost: ¥81,200,000、Indirect Cost: ¥24,360,000)
Fiscal Year 2006: ¥100,230,000 (Direct Cost: ¥77,100,000、Indirect Cost: ¥23,130,000)
Fiscal Year 2005: ¥75,660,000 (Direct Cost: ¥58,200,000、Indirect Cost: ¥17,460,000)
Keywords数値解析 / 数値計算 / 非線形方程式 / 情報数理 / アルゴリズム
Research Abstract

Establishment of Verified Numerical Computation We have studied verified numerical computations for partial differential equations and systems of linear equations using digital computers. Calculating sum of a vector and dot product of two vectors with guaranteed high accuracy is ubiquitous in scientific computing. We have developed such algorithms for accurate sum and dot product, which are known to be the fastest so far. As applications, we have applied the fast and accurate algorithms to sparse matrix computations, computational geometry and so forth. Moreover, we have succeeded in proving the existence and uniqueness of a solution of a partial differential equation, and in calculating an error bound of its approximate solution.

Report

(9 results)
  • 2015 Abstract(Follow-up Assessment) ( PDF )   Self-evaluation (Follow-up Assessment) ( PDF )   Comments (Follow-up Assessment) ( PDF )
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (315 results)

All 2010 2009 2008 2007 2006 2005 Other

All Journal Article (135 results) (of which Peer Reviewed: 82 results) Presentation (178 results) Book (2 results)

  • [Journal Article] Fast Verified Solutions of Linear Systems2009

    • Author(s)
      T. Ogita, S. Oishi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 169-190

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Adaptive and Efficient Algorithm for 2D Orientation Problem2009

    • Author(s)
      K. Ozaki, T. Ogita, S.M. Rump, S. Oishi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 215-231

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Iterative Refinement for Ill-conditioned Linear Systems2009

    • Author(s)
      S. Oishi, T. Ogita, S.M. Rump
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 465-476

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Existence Proof of Five Solutions for Certain Two-Transistor Circuit Equations2009

    • Author(s)
      Y. Nakaya, T. Nishi, S. Oishi, M. Claus
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 327-336

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] An Application of Taylor Models to the Nakao Method on ODEs2009

    • Author(s)
      N. Yamamoto, T. Komori
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 365-392

    • NAID

      10028169196

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Verification Method of Solutions for Elliptic Equations and Its Application to2009

    • Author(s)
      Y. Watanabe, M.T. Nakao
    • Journal Title

      the Rayleigh-Be'nard Problem, Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 443-463

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Numerical Verification Method for Two-Coupled Elliptic Partial Differential Equations2009

    • Author(s)
      Y. Watanabe
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 26:2

      Pages: 233-247

    • NAID

      10028168961

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Computer assisted proofs of bifurcating solutions for nonlinear heat convection problems2009

    • Author(s)
      M.T. Nakao, Y. Watanabe, N. Yamamoto, T. Nishida, M. Kim
    • Journal Title

      Journal of Scientific Computing 10

      Pages: 1-18

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pattern formations in heat convection problems, Chinese Annals of Mathematics2009

    • Author(s)
      T. Nishida, Y. Teramoto
    • Journal Title

      Ser. B 30:6

      Pages: 769-784

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation theorems for the model system of Benard-Marangoni convection2009

    • Author(s)
      T. Nishida, Y. Teramoto
    • Journal Title

      Journal of Mathematical Fluid Mechanics 11:3

      Pages: 383-406

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a resolvent estimate of the Stokes system in a half-space arising from a free boundary problem for the Navier-Stokes equations2009

    • Author(s)
      Y. Shibata, S. Shimizu
    • Journal Title

      Math. Nachr 282:3

      Pages: 482-499

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the L2 a priori error estimates to the finite element solution of elliptic problems with singular adjoint operator2009

    • Author(s)
      T. Kinoshita, K. Hashimoto, M.T. Nakao
    • Journal Title

      Numerical Functional Analysis and Optimization 30

      Pages: 289-305

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tight Enclosures of Solutions of Linear Systems2009

    • Author(s)
      T. Ogita, S. Oishi
    • Journal Title

      International Series of Numerical Mathematics 157

      Pages: 167-178

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Pattern formations in heat convection problems2009

    • Author(s)
      Takaaki Nishida
    • Journal Title

      Chinese Annals of Mathematics, Ser.B 30(6)

      Pages: 769-784

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation theorems for the model system of Benard-Marangoni convection2009

    • Author(s)
      Takaaki Nishida
    • Journal Title

      Journal of Mathematical Fluid Mechanics 11(3)

      Pages: 383-406

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Fast Verified Automatic Integration Algorithm using Double Exponential Formula2009

    • Author(s)
      Naoya Yamanaka
    • Journal Title

      数理解析研究所講究録 1638

      Pages: 146-158

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Fast Verified Solutions of Linear Systems2009

    • Author(s)
      Takeshi Ogita
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Iterative Refinement for Ill-conditioned Linear Systems2009

    • Author(s)
      Shin'ichi Oishi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Adaptive and Efficient Algorithm for 2D Orientation Problem2009

    • Author(s)
      Katsuhisa Ozaki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tight Enclosures of Solutions of Linear Systems2009

    • Author(s)
      Takeshi Ogita
    • Journal Title

      International Series of Numerical Mathematics 157

      Pages: 167-178

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Verification of Five Solutions in Two-transistor Circuits2009

    • Author(s)
      Yusuke Nakaya
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Inclusion of Optimum Point for Linear Programming2009

    • Author(s)
      Shin'ichi Oishi
    • Journal Title

      JSIAM Letters 1

      Pages: 5-8

    • NAID

      110007114419

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-B'enard problems2009

    • Author(s)
      M.-N. Kim
    • Journal Title

      Numerische Mathematik 111

      Pages: 389-406

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A computer-assisted instability proof for the Orr-Sommerfeld problemwith Poiseuille flow2009

    • Author(s)
      Yoshitaka Watanabe
    • Journal Title

      Z. Angew. Math. Mech. 89

      Pages: 5-18

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A computer-assisted proof for the Kolmogorov flows of incompressible viscous fluid2009

    • Author(s)
      Yoshitaka Watanabe
    • Journal Title

      Journal of Computational and Applied Mathematics 223

      Pages: 953-966

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a resolvent estimate of the Stokes system in a half-space arising from a free boundary problem for the Navier-Stokes equations2009

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Math. Nachr. 282

      Pages: 482-499

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Parallel Algorithm for Accurate Dot Product2008

    • Author(s)
      N. Yamanaka, T. Ogita, S.M. Rump, S. Oishi
    • Journal Title

      Parallel Computing 34:6-8

      Pages: 392-410

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Floating-Point Summation Part I: Faithful Rounding2008

    • Author(s)
      S.M. Rump, T. Ogita, S. Oishi
    • Journal Title

      SIAM Journal on Scientific Computing 31:1

      Pages: 189-224

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Floating-Point Summation Part II: Sign2008

    • Author(s)
      S.M. Rump, T. Ogita, S. Oishi
    • Journal Title

      K-fold Faithful and Rounding to Nearest, SIAM Journal on Scientific Computing 31:2

      Pages: 1269-1302

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Guaranteed error bounds of finite element approximations for non-coercive elliptic problems and its applications2008

    • Author(s)
      M.T. Nakao, K. Hashimoto
    • Journal Title

      Journal of Computational and Applied Mathematics 218:1

      Pages: 106-115

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Oseen semigroup with rotating effect, Functional Analysis and Evolution Equations2008

    • Author(s)
      Y. Shibata, H. Amann, W. Arendt, M. Hieber, F., Neubrander, S. Nicaise, J. von Below (eds)
    • Journal Title

      The Gunter Lumer Volume

      Pages: 595-611

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh-Benard problems2008

    • Author(s)
      M. Kim, M.T. Nakao, Y. Watanabe, T. Nishida
    • Journal Title

      Numerische Mathematik 111

      Pages: 389-406

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Floating-Point Summation Part II : Sign, K-fold Faithful and Rounding to Nearest2008

    • Author(s)
      Siegfried M. Rump
    • Journal Title

      SIAM Journal on Scientific Computing 31:2

      Pages: 1269-1302

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Floating-Point Summation Part I : Faithful Rounding2008

    • Author(s)
      Siegfried M. Rump
    • Journal Title

      SIAM Journal on Scientific Computing 31:1

      Pages: 189-224

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Parallel Algorithm for Accurate Dot Product2008

    • Author(s)
      Naoya Yamanaka
    • Journal Title

      Parallel Computing 34 : 6-8

      Pages: 392-410

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global Convergence of SMO Algorithm for Support Vector Machine2008

    • Author(s)
      Norikazu Takahashi
    • Journal Title

      IEEE Trans. on Neural Networks 19

      Pages: 971-982

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A computational approach to constructive a priori and aposteriori error estimates for finite element approximations of bi-harmonic problems2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Journal Title

      GAKUTO International Series, Mathematical Sciences and Applications 28

      Pages: 139-148

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Guaranteed error bounds for finite element approximations of noncoercive elliptic problems and their applications2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Journal Title

      Journal of Computational and Applied Mathematics 218

      Pages: 106-115

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some remarks on the behaviour of'the finite element solution in nonsmooth domains2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Journal Title

      Applied Mathematics Letters 21

      Pages: 1310-1314

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Oseen semigroup with rotating effect2008

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Functional Analysis and Evolution Equations

      Pages: 595-611

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain2008

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      J. Reine Angew. Math 615

      Pages: 157-209

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A stability theorem of the Navier-Stokes flow past a rotating body2008

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Banach center publication 81

      Pages: 441-455

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Iterative Refinement for Ill-Conditioned Linear Equations2008

    • Author(s)
      Shinichi Oishi
    • Journal Title

      Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications

      Pages: 516-519

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Matrix Multiplication by Using Level 3 BLAS Operation2008

    • Author(s)
      Katsuhisa Ozaki
    • Journal Title

      Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications

      Pages: 508-511

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fast Verified Automatic Integration Algorithm Using Complex Analysis2008

    • Author(s)
      Naoya Yamanaka
    • Journal Title

      Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications

      Pages: 512-515

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method for the Generation of a Class of Ill-Conditioned Matrices2008

    • Author(s)
      Tetsuo Nishi
    • Journal Title

      Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications

      Pages: 53-56

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Verification of Optimum Point in Linear Programming2008

    • Author(s)
      Shin'ichi Oishi
    • Journal Title

      Proceedings of 2008 International Symposium on Nonlinear Theory and its Applications

      Pages: 676-679

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 大規模疎行列の正定値性の保証法2008

    • Author(s)
      荻田武史
    • Journal Title

      京大数理解析研究所講究録 1614

      Pages: 34-39

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 点と直線の位置関係の計算をロバストに行う点と平面の位置関係の精度保証法2008

    • Author(s)
      尾崎克久
    • Journal Title

      京大数理解析研究所講究録 1614

      Pages: 1-10

    • Related Report
      2008 Annual Research Report
  • [Journal Article] 並行Poiseuille流れの不安定性に対する計算機援用証明2008

    • Author(s)
      渡部善隆
    • Journal Title

      京大数理解析研究所講究録 1614

      Pages: 11-19

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Discretization principles for linear two-point boundary value problems2008

    • Author(s)
      T. Yamamoto, S.Oishi and Q.Fang
    • Journal Title

      Numer. Funct. Anal. Optimz. 29

      Pages: 213-224

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Obtaining Verified Solutions for Linear Systems Suited for Java2007

    • Author(s)
      K. Ozaki, T. Ogita, S. Miyajima, S. Oishi, S.M. Rump
    • Journal Title

      Journal of Computational and Applied Mathematics 199:2

      Pages: 337-344

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of Rump's Method for Inverting Arbitrarily Ill-conditioned Matrices2007

    • Author(s)
      S. Oishi, K. Tanabe, T. Ogita, S.M. Rump
    • Journal Title

      Journal of Computational and Applied Mathematics 205:1

      Pages: 533-544

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical verification of stationary solutions for Navier-Stokes problems2007

    • Author(s)
      K. Nagatou, K. Hashimoto, M.T. Nakao
    • Journal Title

      Journal of Computational and Applied Mathematics 199

      Pages: 424-431

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation2007

    • Author(s)
      T. Minamoto, M.T. Nakao
    • Journal Title

      Journal of Computational and Applied Mathematics 202

      Pages: 177-185

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Decay properties of the Stokes semigroup in exterior domains with Neumann condition2007

    • Author(s)
      Y. Shibata, S. Shimizu
    • Journal Title

      Journal of the Mathematical Society of Japan 59

      Pages: 1-35

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of Rump's Method for Inverting Arbitrarily lll-conditioned Matrices2007

    • Author(s)
      S.Oishi, K.Tanabe, T.Ogita and S.M.Rump
    • Journal Title

      Jounal of Computational and Applied Mathematics 205:1

      Pages: 533-544

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On an Lp approach to the stationary and nonstationary problem of the Ginzburg-Landau-Maxwell equations2007

    • Author(s)
      T.Akiyama and Y. Shibata
    • Journal Title

      J.Differential Equations 243

      Pages: 1-23

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid2007

    • Author(s)
      Y.Shibata and K.Tanaka
    • Journal Title

      Comput. Math. Appl. 53

      Pages: 605-623

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a generalized resolvent estimate for the Stokes system with Robin boundary condition2007

    • Author(s)
      Y. Shibata and R. Shimada
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 469-519

    • NAID

      10019540335

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a free boundary problem for the Navier-Stokes equations2007

    • Author(s)
      Y. Shibata and S. Shimizu
    • Journal Title

      Diff. Int. Eqns. 20

      Pages: 241-276

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local energy decay estimate and Lp-Lq estimates of the solutions to Stokes equation with Neumann boundary condition2007

    • Author(s)
      Y. Shibata and Y. Shimizu
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 1-34

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Method of Obtaining Verified Solutions for Linear Systems Suited for Java2007

    • Author(s)
      K.Ozaki, T.Ogita, S.Miyajima, S.Oishi, S.M.Rump
    • Journal Title

      Journal of Computational and Applied Mathematics 199:2

      Pages: 337-344

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Numerical verification of stationary solutions for Navier-Stokes problems2007

    • Author(s)
      K.Nagatou, K.Hashimoto, M.T.Nakao
    • Journal Title

      Journal of Computational and Applied Mathematics 199

      Pages: 445-451

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On error estimation of finite element approximations to the elliptic equations in nonconvex domains2007

    • Author(s)
      N.Yamamoto, K.Genma
    • Journal Title

      J. Comput. Appl. Math. 199

      Pages: 286-296

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Decay properties of the Stokes semigroup in exterior domains with Neumann condition2007

    • Author(s)
      Y.Shibata, S.Shimizu
    • Journal Title

      Journal of the Mathematical Society of Janan 59

      Pages: 1-35

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On a linearized system arising in the study of Benard-Marangoni convection2007

    • Author(s)
      T.Nishida, Y.Teramoto
    • Journal Title

      Proc. Intern. Conf. on Navier-Stokes Equations and Applications, Kokyuroku New Series 1, RIMS, Kyoto University

      Pages: 1-16

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Mathematical Theory for Numerical Treatment of Nonlinear Two-Point Boundary Value Problems2006

    • Author(s)
      T. Yamamoto, S. Oishi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 23:1

      Pages: 31-62

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 実対称行列の各固有対の精度保証付き数値計算法2006

    • Author(s)
      宮島信也, 荻田武史, 大石進一
    • Journal Title

      日本応用数理学会論文誌 16:4

      Pages: 535-552

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 点と平面との位置関係を判定する高速かつロバストなアルゴリズム2006

    • Author(s)
      尾崎克久, 荻田武史, S.M. Rump, 大石 進一
    • Journal Title

      日本応用数理学会論文誌 16:4

      Pages: 553-562

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 高精度内積計算アルゴリズムを用いた連立一次方程式の精度保証付き数値計算法2006

    • Author(s)
      大石進一, 荻田武史, 太田貴久
    • Journal Title

      シミュレーション 25:5

      Pages: 170-178

    • NAID

      110004811928

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 連立一次方程式のメモリ量を低減した精度保証付き数値計算法2006

    • Author(s)
      荻田武史, 大石進一
    • Journal Title

      シミュレーション 25:5

      Pages: 179-184

    • NAID

      110004811929

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 実対称行列の各固有対の精度保証付き数値計算法2006

    • Author(s)
      宮島 信也, 荻田 武史, 大石 進一
    • Journal Title

      日本応用数理学会論文誌 16:4

      Pages: 535-552

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 点と平面との位置関係を判定する高速かつロバストなアルゴリズム2006

    • Author(s)
      尾崎 克久, 荻田 武史, S. M. Rump, 大石 進一
    • Journal Title

      日本応用数理学会論文誌 16:4

      Pages: 553-562

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 高精度内積計算アルゴリズムを用いた連立一次方程式の精度保証付き数値計算法2006

    • Author(s)
      大石 進一, 荻田 武史, 太田 貴久
    • Journal Title

      シミュレーション 25:5

      Pages: 170-178

    • NAID

      110004811928

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 連立一次方程式のメモリ量を低減した精度保証付き数値計算法2006

    • Author(s)
      荻田 武史, 大石 進一
    • Journal Title

      シミュレーション 25:5

      Pages: 179-184

    • NAID

      110004811929

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Mathematical Theory for Numerical Treatment of Nonlinear Two-Point Boundary Value Problems2006

    • Author(s)
      T.Yamamoto, S.Oishi
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 23:1

      Pages: 31-62

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Tight Enclosures of Solutions of Linear Systems2006

    • Author(s)
      T.Ogita, S.Oishi
    • Journal Title

      Proc. of International Conference of Numerical Analysis and Applied Mathematics 2006 (ICNAAM2006)

      Pages: 516-519

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Numerical verification for solutions of finite dimensional sparse linear equations using iterative methods2006

    • Author(s)
      S.Oishi, T.Ogita, S.M.Rump
    • Journal Title

      Proc. of International Conference of Numerical Analysis and Applied Mathematics 2006 (ICNAAM2006)

      Pages: 520-523

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Accurate Cholesky Algorithm and Detection of Positive Definiteness of Ill-Conditioned Matrices2006

    • Author(s)
      S.Oishi, T.Ogita, S.M.Rump, K.Tanabe
    • Journal Title

      Proc. of International Conference of Numerical Analysis and Applied Mathematics 2006 (ICNAAM2006)

      Pages: 531-534

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Numerical Verification of Five Solutions in Two-transistor Circuits2006

    • Author(s)
      Y.Nakaya, S.Oishi, T.Nishi, M.Claus
    • Journal Title

      Proc. of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 307-310

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Convergence Theorem of Rump's Method for Inverting Arbitrarily Ill-Conditioned Matrices2006

    • Author(s)
      S.Oishi, K.Tanabe, T.Ogita, S.M.Rump
    • Journal Title

      Proc. of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 315-318

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Fast Verification for Sparse Linear Systems with Generalized Diagonally Dominant Matrices2006

    • Author(s)
      T.Ogita, S.Oishi
    • Journal Title

      Proc. of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 319-321

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Adaptive Verification Method for Dense Linear Systems2006

    • Author(s)
      K.Ozaki, T.Ogita, S.Oishi
    • Journal Title

      Proc. of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 323-326

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A Method of Proving Existence of Solution Curve for Nonlinear Equation using Affine Arithmetic2006

    • Author(s)
      Y.Kanzawa, S.Oishi
    • Journal Title

      Proc. of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 947-950

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Some computer assisted proofs on three dimensional heat convection problems2006

    • Author(s)
      M.-N.Kim, M.T.Nakao, Y.Watanabe, T.Nishida
    • Journal Title

      Proceedings of 2006 International Symposium on Nonlinear Theory and its Applications (NOLTA2006)

      Pages: 427-430

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A numerical verification for the Kolmogorov flows of imcompressible viscous fluid2006

    • Author(s)
      Y.Watanabe
    • Journal Title

      Proceedings of International Conference of Numerical Analysis and Applied Mathematics 2006 (ICNAAM2006)

      Pages: 535-539

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Globally in time existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle2006

    • Author(s)
      T.Hishida, Y.Shibata
    • Journal Title

      WSEAS Trans. Math. 5

      Pages: 303-307

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Global existence of strong solution to the micropolar fluid system, Hypebolic Problems2006

    • Author(s)
      Y.Shibata, N.Yamaguchi
    • Journal Title

      Theory, Numerics and Applications II

      Pages: 305-312

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On error estimation of finite element approximations to the elliptic equations in nonconvex domains2006

    • Author(s)
      N.Yamamoto, K.Genma
    • Journal Title

      Journal of Computational and Applied Mathematics

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 悪条件連立一次方程式の精度保証付き数値計算法2005

    • Author(s)
      太田貴久, 荻田武史, S.M. Rump, 大石 進一
    • Journal Title

      日本応用数理学会論文誌 15:3

      Pages: 269-287

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Accurate Sum and Dot Product2005

    • Author(s)
      T. Ogita, S.M. Rump, S. Oishi
    • Journal Title

      SIAM Journal on Scientific Computing 26:6

      Pages: 1955-1988

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 実対称行列の各固有値に対する精度保証付き数値計算法2005

    • Author(s)
      宮島信也, 荻田武史, 大石進一
    • Journal Title

      日本応用数理学会論文誌 15:3

      Pages: 253-268

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 大規模連立一次方程式のための高速精度保証法2005

    • Author(s)
      荻田武史, 大石進一
    • Journal Title

      情報処理学会論文誌:数理モデル化と応用 46

      Pages: 10-18

    • NAID

      110002768708

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Stokes and Navier-Stokes equation in a perturbed half-space Advances2005

    • Author(s)
      Y. Shibata, T. Kubo
    • Journal Title

      in Differential Equations 10:6

      Pages: 695-720

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the Stokes and Navier-Stokes flows in a perturbed half space2005

    • Author(s)
      Y. Shibata, T. Kubo
    • Journal Title

      Regularity and other aspects of the Navier-Stokes equations, Banach Center Publications 70

      Pages: 157-167

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hopf bifurcation in viscous incompressible flow down an inclined plane2005

    • Author(s)
      T. Nishida, Y. Teramoto, H. Yoshihara
    • Journal Title

      J. Math. Fluid Mechanics Vol.7

      Pages: 29-71

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 実対称行列の各固有値に対する精度保証付き数値計算法2005

    • Author(s)
      宮島信也, 荻田武史, 大石進一
    • Journal Title

      日本応用数理学会論文誌 Vol.15, No.3

      Pages: 253-268

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 悪条件連立一次方程式の精度保証付き数値計算法2005

    • Author(s)
      太田貴久, 荻田武史, S.M.Rump, 大石進一
    • Journal Title

      日本応用数理学会論文誌 Vol.15, No.3

      Pages: 269-287

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Accurate Sum and Dot Product2005

    • Author(s)
      T.Ogita, S.M.Rump, S.Oishi
    • Journal Title

      SIAM Journal on Scientific Computing Vol.26, No.6

      Pages: 1955-1988

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 大規模連立一次方程式のための高速精度保証法2005

    • Author(s)
      荻田武史, 大石進一
    • Journal Title

      情報処理学会論文誌:数理モデル化と応用 Vol.46, No.SIG10

      Pages: 10-18

    • NAID

      110002768708

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Fast Inclusion of Interval Matrix Multiplication2005

    • Author(s)
      T.Ogita, S.Oishi
    • Journal Title

      Reliable Computing Vo1.11, No.3

      Pages: 191-205

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Numerical Verification of Solutions of Nekrasov's Integral Equation2005

    • Author(s)
      S.Murashige, S.Oishi
    • Journal Title

      Computing Vol.75, No.1

      Pages: 15-25

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Numerical Verification Method for Dense Linear Systems with Arbitrarily III-conditioned Matrices2005

    • Author(s)
      T.Ohta, T.Ogita, S.M.Rump, S.Oishi
    • Journal Title

      Proceedings of 2005 International Symposium on Nonlinear Theory and its Applications

      Pages: 745-748

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Componentwise Verified Solutions of Linear Systems Suited for Java2005

    • Author(s)
      K.Ozaki, T.Ogita, S.Miyajima, S.Oishi, S.M.Rump
    • Journal Title

      Proceedings of 2005 International Symposium on Nonlinear Theory and its Applications

      Pages: 749-752

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Method of Generating Linear Systems with an Arbitrarily III-conditioned Matrix and an Arbitrary Solution2005

    • Author(s)
      S.Miyajima, T.Ogita, S.Oishi
    • Journal Title

      Proceedings of 2005 International Symposium on Nonlinear Theory and its Applications

      Pages: 741-744

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Fast Verification for Respective Eigenvalues of Symmetric Matrix2005

    • Author(s)
      S.Miyajima, T.Ogita, S.Oishi
    • Journal Title

      Proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing

      Pages: 306-317

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A numerical method to verify the invertibility of linear elliptic operators with applications to nonlinear problems2005

    • Author(s)
      M.T.Nakao, K Hashimoto, Y.Watanabe
    • Journal Title

      Computing Vol.75, No.1

      Pages: 1-14

    • NAID

      120000981466

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Numerical Verification Method for Solutions of Singularly Perturbed Problems with Nonlinearity2005

    • Author(s)
      K.Hashimoto, R.Abe, M.T.Nakao, Y.Watanabe
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics Vol.22

      Pages: 111-131

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Numerical Verification Methods of Solutions for the Free Boundary Problems2005

    • Author(s)
      K.Hashimoto, K.Kobayashi, M.T.Nakao
    • Journal Title

      Numerical Functional Analysis and Optimization Vol.26, No.4-5

      Pages: 523-542

    • Related Report
      2005 Annual Research Report
  • [Journal Article] An efficient approach to numerical verification for solutions of elliptic differential equations with local uniaueness (in Japanese)2005

    • Author(s)
      Y.Watanabe, N.Yamamoto, M.T.Nakao
    • Journal Title

      Transaction of the Japan Society for Industrial and Applied Mathematics Vol.15, No.4

      Pages: 509-520

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A computational approach to constructive a priori and a posteriori error estimates for finite element approximations of bi-harmonic problems2005

    • Author(s)
      M.T.Nakao, K.Hashimoto, K.Nagatou
    • Journal Title

      Proceedings of the 4th JSIAM-SIMAI Seminar on Industrial and Applied Mathematics

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Hopf bifurcation in viscous incompressible flow down an inclined plane2005

    • Author(s)
      T.Nishida, Y.Teramoto, H.Yoshihara
    • Journal Title

      Journal of Mathematical Fluid Mechanics Vol.7, No.1

      Pages: 29-71

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On some properties of solutions to the Stokes equation in the half-space and perturbed half-space2005

    • Author(s)
      T.Kubo, Y.Shibata
    • Journal Title

      Equation of Mathematical Physics in Quaderni in Matematica, series (edited by Dept.Math.II.Univ.di Napoli) Vol.15

      Pages: 138-217

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the Stokes and Navier-Stokes eauations in a perturbed half-space2005

    • Author(s)
      T.Kubo, Y.Shibata
    • Journal Title

      Advances in Differential Equations Vol.10, No.6

      Pages: 695-720

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation2005

    • Author(s)
      Y.Enomoto, Y.Shibata
    • Journal Title

      Journal of Mathematical Fluid Mechanics Vol.7, Vol.3

      Pages: 339-367

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the Stokes equation with Neumann boundary condition2005

    • Author(s)
      Y.Shibata, S.Shimizu
    • Journal Title

      Banach Center Publications Vol.70

      Pages: 239-250

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the Stokes and Navier-Stokes flows in a perturbed half space2005

    • Author(s)
      T.Kubo, Y.Shibata
    • Journal Title

      Banach Center Publications Vol.70

      Pages: 157-167

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Lp-Lq maximal regularity and viscous incompressible flows with free surface2005

    • Author(s)
      Y.Shibata, S.Shimizu
    • Journal Title

      Proceedings of the Japan Academy Ser.A Mathematical Sciences Vol.81, No.9

      Pages: 151-155

    • NAID

      40007140161

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem2005

    • Author(s)
      Y.Shibata, M.Yamazaki
    • Journal Title

      Japanese Journal of Mathematics Vol.31, No.2

      Pages: 225-279

    • NAID

      10020427306

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 多倍長演算を利用したBessel関数の精度保証付き数値計算2005

    • Author(s)
      山本野人, 松田望
    • Journal Title

      日本応用数理学会論文誌 Vol.15, No.3

      Pages: 347-359

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 楕円型方程式の解に対する局所一意性付き数値的検証法の効率化2005

    • Author(s)
      渡部善隆, 山本野人, 中尾充宏
    • Journal Title

      日本応用数理学会論文誌 Vol.15, No.4

    • NAID

      110002976854

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problem

    • Author(s)
      Shinya Miyajima
    • Journal Title

      Reliable Computing (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the L2 a priori error estimates to the finite element solution of elliptic problems with singular adjoint operator

    • Author(s)
      Takehiko Kinoshita
    • Journal Title

      Numerical Functional Analysis and Optimization (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lp-Lq estimate of the Stokes operator and the Navier- Stokes flows in the exterior of a rotating obstacle

    • Author(s)
      Toshiaki Hishida
    • Journal Title

      Arch. Rational Mech. Anal (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Lp analytic semigroup associated with the linear thermoelastic plate equations in the half-space

    • Author(s)
      Yuka Naito
    • Journal Title

      J. Math. Soc. (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global solutions to the Navier-Stokes equations with Coriolis force

    • Author(s)
      Matthias Hieber
    • Journal Title

      Math. Z (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains

    • Author(s)
      Robert Denk
    • Journal Title

      Zeitschrift fuer Analysis and Anwendungen (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lp theory for the linear thermoelastic plate equations n bounded and exterior domains

    • Author(s)
      Robert Denk
    • Journal Title

      Advances in Differential Equations (掲載確定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tight Encolsures of Solutions of Linear Systems

    • Author(s)
      T.Ogita and S.Oishi
    • Journal Title

      International Series of Numerical Mathematics

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Parallel Algorithm for Accurate Dot Product

    • Author(s)
      N.Yamanaka, T.Ogita, S.M.Rump and S.Oishi
    • Journal Title

      Parallel Computing

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lp-Lq estimate of the Stokes operator and the Navier-Stokes flows in the exterior of a rotating obstacle

    • Author(s)
      T. Hishida and Y. Shibata
    • Journal Title

      Arch. Rational Mech. Anal

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

    • Author(s)
      Y. Shibata and S. Shimizu
    • Journal Title

      J. Reine Angew. Math.

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a resolvent estimate of the Stokes system in a half-space arising from a free boundary problem for the Navier-Stokes equations

    • Author(s)
      Y. Shibata and Y. Shimizu
    • Journal Title

      Mathematische Nachrichten

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On an Lp approach to the stationary and non-stationary problems of the Ginzburg-Landau-Maxwell equations

    • Author(s)
      Y.Shibata, T.Akiyama
    • Journal Title

      Journal of Differential Equations (to appear)

    • Related Report
      2005 Annual Research Report
  • [Presentation] Computer assisted proofs for partial differential equations2010

    • Author(s)
      Kaori Nagatou
    • Organizer
      Seminar at University of Kent
    • Place of Presentation
      University of Kent
    • Year and Date
      2010-03-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] 常微分方程式の精度保証付き計算の技法と利用法2010

    • Author(s)
      山本野人
    • Organizer
      天体力学n体力学研究会
    • Place of Presentation
      千葉大学
    • Year and Date
      2010-03-19
    • Related Report
      2009 Final Research Report
  • [Presentation] 常微分方程式の精度保証付き計算の技法と利用法2010

    • Author(s)
      山本野人
    • Organizer
      天体力学N体力学研究会・ちばN体2010
    • Place of Presentation
      千葉大学
    • Year and Date
      2010-03-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical Existence Theorem for Semilinear Elliptic Boundary Value Problems I2010

    • Author(s)
      大石進一
    • Organizer
      2010 International Workshop on Numerical Verification and its Applications(INVA2010)
    • Place of Presentation
      Hachijo-jima, Japan
    • Year and Date
      2010-03-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical Existence Theorem for Semilinear Elhptic Boundary Value Problems II2010

    • Author(s)
      高安亮紀
    • Organizer
      2010 International Workshop on Numerical Verification and its Applications(INVA2010)
    • Place of Presentation
      Hachijo-jima, Japan
    • Year and Date
      2010-03-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Computer-assisted existence proofs with local uniqueness for the Orr-Sommerfeld problem2010

    • Author(s)
      Watanabe
    • Organizer
      International Workshop on Numerical Verification and its Applications 2010(LNVA2010)
    • Place of Presentation
      Hachijyo-jima, Japan
    • Year and Date
      2010-03-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Topics of two-dimensional orientation problem, floating-point filters, robust computations and applications to convex hull2010

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      International Workshop on Numerical Verification and its Applications 2010(INVA2010)
    • Place of Presentation
      Hachijo-jima, Japan
    • Year and Date
      2010-03-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 境界要素法を用いた線形二点境界値問題の精度保証付き数値計算法2010

    • Author(s)
      山中脩也
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Sturm-Liouville型2点境界値問題の精度保証付き数値計算2010

    • Author(s)
      高安亮紀
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形楕円型偏微分方程式の精度保証II2010

    • Author(s)
      高安亮紀
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形楕円型偏微分方程式の精度保証I2010

    • Author(s)
      大石進一
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Legendre多項式を用いた高精度品質保証-およびその課題-2010

    • Author(s)
      渡部善隆
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] ODEに対する精度保証プログラム生成の半自動化について2010

    • Author(s)
      宇川隆詞
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 高速かつ支配的な半径を考慮した実区間行列の積について2010

    • Author(s)
      尾崎克久
    • Organizer
      日本応用数理学会2010年研究部会連合発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2010-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] A priori inverse operator estimation for guaranteed error estimate2010

    • Author(s)
      高安亮紀
    • Organizer
      4th Workshop on Reliable Engineering Computing(REC2010) "Robust Design-Coping with Hazards, Risk and Uncertainty"
    • Place of Presentation
      Hotel Furama Riverfront, Singapore
    • Year and Date
      2010-03-05
    • Related Report
      2009 Annual Research Report
  • [Presentation] Exact 2D Convex Hull for Floating-point data2010

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      4th Workshop on Reliable Engineering Computing(REC2010) "Robust Design-Coping with Hazards, Risk and Uncertainty"
    • Place of Presentation
      Hotel Furama Riverfront, Singapore
    • Year and Date
      2010-03-04
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Verified Automatic Contour Integration Algorithm2010

    • Author(s)
      Naoya Yamanaka
    • Organizer
      4th Workshop on Reliable Engineering Computing(REC2010) "Robust Design-Coping with Hazards, Risk and Uncertainty"
    • Place of Presentation
      Hotel Furama Riverfront, Singapore
    • Year and Date
      2010-03-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] 点と直線の位置関係の判定問題に関するフィルターに関する考察2010

    • Author(s)
      尾崎克久
    • Organizer
      応用数理に関する愛媛ワークショップ
    • Place of Presentation
      愛媛大学
    • Year and Date
      2010-02-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] 多倍長演算の精度保証について2009

    • Author(s)
      松田望
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] ある非自己共役作用素の複素固有値の除外に対する数値的検証法II2009

    • Author(s)
      渡部善隆
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2009-12-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 無限次元固有値問題に対する固有値の非存在証明2009

    • Author(s)
      渡部善隆
    • Organizer
      数値解析と数値計算アルゴリズムの最近の展開
    • Place of Presentation
      京大会館
    • Year and Date
      2009-12-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] 線形2点境界値問題の有限要素解に対する精度保証付き数値計算法2009

    • Author(s)
      高安亮紀
    • Organizer
      京都大学数理解析研究所RIMS研究集会
    • Place of Presentation
      京大会館
    • Year and Date
      2009-12-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical Verification Method for Nonlinear Differential Equations2009

    • Author(s)
      大石進一
    • Organizer
      The Joint Conferenee of ASCM2009 and MACIS2009
    • Place of Presentation
      JAL Resort Sea Hawk Hotel, Fukuoka, Japan
    • Year and Date
      2009-12-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] 'Construction of an automatic validated computation for boundary value problems of ODEs'2009

    • Author(s)
      Nobito Yamamoto
    • Organizer
      The Joint Conference of ASCM2009 and MACIS2009
    • Place of Presentation
      九州大学
    • Year and Date
      2009-12-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] 2次元の凸包に関する精度保証付き数値計算2009

    • Author(s)
      尾崎克久
    • Organizer
      第3回63号館HRCシンポジウム「材料・デバイス・システム連携と次世代通信社会」
    • Place of Presentation
      早稲田大学
    • Year and Date
      2009-12-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] 計算幾何学のエラーフリーアルゴリズム2009

    • Author(s)
      尾崎克久
    • Organizer
      日本応用数理学会3部会連携応用数理セミナー
    • Place of Presentation
      国立情報学研究所
    • Year and Date
      2009-12-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orr-Sommerfeld問題の解に対する局所一意性付き数値的検証2009

    • Author(s)
      渡部善隆
    • Organizer
      「数値解析の現状と展望」-九州大学数値解析セミナーとその協力者からの発信-
    • Place of Presentation
      公立はこだて未来大学
    • Year and Date
      2009-11-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] Error-Free Transformation of Matrix Multiplication and its related topics2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      Computer-assisted Proofs-Tools, Methods and Applications, Dagstuhl Seminar
    • Place of Presentation
      Dagstuhl, Germany
    • Year and Date
      2009-11-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形関数方程式の精度保証付き数値計算2009

    • Author(s)
      大石進一
    • Organizer
      非線形問題研究会(NLP)
    • Place of Presentation
      屋久島環境文化村センター,鹿児島
    • Year and Date
      2009-11-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 'On Validated Computation with Multipleprecision Arithmetic'2009

    • Author(s)
      Nobito Yamamoto
    • Organizer
      Taiwan-Japan Joint Seminar
    • Place of Presentation
      台湾大学、中華民国、台北
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] 精度保証付き数値計算と多倍長演算2009

    • Author(s)
      山本野人
    • Organizer
      デジタル解析学セミナー
    • Place of Presentation
      早稲田大学
    • Year and Date
      2009-10-19
    • Related Report
      2009 Annual Research Report 2009 Final Research Report
  • [Presentation] Multiple Floating-point Matrix Multiplication by Level 3 Operations2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      2009 International Symposium on Nonlinear Theory and its ApPlications(NOLTA2009)
    • Place of Presentation
      Sapporo, Japan
    • Year and Date
      2009-10-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Accurate and Robust Inverse Cholesky Factorization2009

    • Author(s)
      Takeshi Ogita
    • Organizer
      2009 International Symposium on Nonlnear Theory and its Applications(NOLTA2009)
    • Place of Presentation
      Sapporo, Japan
    • Year and Date
      2009-10-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] A Verified Automatic Repeated Integration Algorithm based on Double Exponential Formula2009

    • Author(s)
      Naoya Yamanaka
    • Organizer
      2009 International Symposium on Nonlinear Theory and its Applications(NOLTA2009)
    • Place of Presentation
      Sapporo, Japan
    • Year and Date
      2009-10-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guaranteed error estimate for solutions to two-point boundary value problem2009

    • Author(s)
      高安亮紀
    • Organizer
      2009 International Symposium on Nonlinear Theory and its Applications(NOLTA2009)
    • Place of Presentation
      Hokkaido, Japan
    • Year and Date
      2009-10-19
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guaranteed error estimate for solutions to linear two-point boundary value problems with FEM2009

    • Author(s)
      高安亮紀
    • Organizer
      ASIA SIMULATLON CONFERENCE 2009
    • Place of Presentation
      Ritsumeikan University
    • Year and Date
      2009-10-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Robustness Problems and Verified Computations for Computational Geometry2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      ASLA SIMULATLON CONIFERENCE 2009
    • Place of Presentation
      Ritsumeikan University
    • Year and Date
      2009-10-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形2点境界値問題の精度保証付き数値計算法2009

    • Author(s)
      高安亮紀
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] 凸包の構成に対する精度保証付き数値計算の利用2009

    • Author(s)
      尾崎克久
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Level 3 BLASを用いた4倍精度の行列積について2009

    • Author(s)
      尾崎克久
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orr-Sommerfeld方程式の複素固有値の除外に対する計算機援用証明2009

    • Author(s)
      渡部善隆
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] 楕円型作用素の逆作用素の作用素ノルムの評価の改良について2009

    • Author(s)
      木下武彦
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Spectral problem fbr 3-D photonic crystals2009

    • Author(s)
      Kaori Nagatou
    • Organizer
      International Conference on Numerical Analysis and Applied Mathematics 2009(ICNAAM-2009)
    • Place of Presentation
      Rethymno, Greece.
    • Year and Date
      2009-09-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Matrix Multiplication with Guaranteed Accuracy by Level 3 BLAS2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      International Conference on Numerical Analysis and Applied Mathematics 2009(ICNAAM-2009)
    • Place of Presentation
      Rethymno, Greece
    • Year and Date
      2009-09-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] Pattern Formations in Heat Convection Problems2009

    • Author(s)
      Takaaki Nishida
    • Organizer
      Mathematical Physics and PDEs
    • Place of Presentation
      Levico, Italia
    • Year and Date
      2009-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] 熱対流問題の精度保証-計算の品質評価-2009

    • Author(s)
      渡部善隆
    • Organizer
      九州大学産業数理研究センター第7回ワークショップ
    • Place of Presentation
      九州大学
    • Year and Date
      2009-09-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] Fast Filter for Verified Convex Hull and its Performance2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      The 24th International Technical Conference on Circuits/Systems, Computers and Communications(ITC-CSCC 2009)
    • Place of Presentation
      Jeju Island, Korea
    • Year and Date
      2009-07-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] A fast automatic integration algorithm using double exponential formula based on verification theory2009

    • Author(s)
      Naoya Yamanaka
    • Organizer
      The 24th International Technical Conference on Circuits/Systems, Computers and Communications(ITC-CSCC 2009)
    • Place of Presentation
      Jeju Island, Korea
    • Year and Date
      2009-07-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Numerical verification for solutions to nonlinear two-point boundary value problems with finite element method2009

    • Author(s)
      高安亮紀
    • Organizer
      The 24th International Technical Conference on Circuits/Systems, Computers and Communications(ITC-CSCC 2009)
    • Place of Presentation
      Jeju Island, Korea
    • Year and Date
      2009-07-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 線形2点境界値問題の精度保証付き数値計算法2009

    • Author(s)
      高安亮紀
    • Organizer
      第38回数値解析シンポジウム
    • Place of Presentation
      熱川ハイツ,静岡県賀茂郡東伊豆町
    • Year and Date
      2009-06-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Level 3 BLASを用いた高精度な行列積に対する事前誤差評価2009

    • Author(s)
      尾崎克久
    • Organizer
      第38回数値解析シンポジウム
    • Place of Presentation
      熱川ハイツ,静岡県賀茂郡東伊豆町
    • Year and Date
      2009-06-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] マルチプロセスを用いた連立一次方程式の精度保証法の実装2009

    • Author(s)
      南畑淳史
    • Organizer
      第28回日本シミュレーション学会大会
    • Place of Presentation
      芝浦工業大学
    • Year and Date
      2009-06-13
    • Related Report
      2009 Annual Research Report
  • [Presentation] Accurate Lnverse Cholesky Factorization2009

    • Author(s)
      Takeshi Ogita
    • Organizer
      The 2nd International Conference on Mathematical Modelling and Computation and The 5th East Asia SIAM Conference
    • Place of Presentation
      Bandar Seri Begawan, Brunei Darussalam
    • Year and Date
      2009-06-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] Verified Convex Hull based on Graham's Algorithm2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      The 2nd International Conference on Mathematical Modelling and Computation and The 5th East Asia SIAM Conference
    • Place of Presentation
      Bandar Seri Begawan, Brunei Darussalam
    • Year and Date
      2009-06-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] A fast automatic integration algorithm using double exponential formula2009

    • Author(s)
      Naoya Yamanaka
    • Organizer
      The 2nd International Conference on Mathematical Modelling and Computation and The 5th East Asia SIAM Conference
    • Place of Presentation
      Bandar Seri Begawan, Brunei Darussalam
    • Year and Date
      2009-06-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Guaranteed error estimate for solutions to linear two-point boundary value problems2009

    • Author(s)
      高安亮紀
    • Organizer
      The 2nd International Conference on Mathematical Modelling and Computation and The 5th East Asia SIAM Conference(EASIAM)
    • Place of Presentation
      Bandar Seri Begawan, Brunei Darussalam
    • Year and Date
      2009-06-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] A priort error estimation for accurate matrix multiplicatien by using optimized BLAS2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      International Conference on Engineering and Computational Mathematics(ECM2009)
    • Place of Presentation
      The Hong-Kong Polytechnic University
    • Year and Date
      2009-05-29
    • Related Report
      2009 Annual Research Report
  • [Presentation] An eigenvalue excluding method for the Orr-Sommerfeld problem2009

    • Author(s)
      Yoshitaka Watanabe
    • Organizer
      International Conference on Engineering and Computational Mathematics(ECM2009)
    • Place of Presentation
      The Hong Kong Polytechnic University
    • Year and Date
      2009-05-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] An application of the Lohner method for boundary value problems of O DEs'2009

    • Author(s)
      Nobito Yamamoto
    • Organizer
      International Conference on Engineering and Computational Mathematics(ECM2009)
    • Place of Presentation
      The Hong Kong Polytechnic University
    • Year and Date
      2009-05-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] 計算機援用証明による並行Poiseuille流れの安定性・不安性解析2009

    • Author(s)
      渡部善隆
    • Organizer
      九州大学数値解析学セミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2009-04-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Maxwell方程式によるナノ領域電磁界計算の精度保証2009

    • Author(s)
      大石進一
    • Organizer
      2009年春季第56回応用物理学関係連合講演会(シンポジウム:ナノフォトニクスにおけるナノ加工の最前線と理論基盤)
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-03-30
    • Related Report
      2009 Final Research Report
  • [Presentation] Generalized Resolvent Problem for the Stokes System with some First Order Boundary Condition2009

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Generation of Analytic Semigroup Associated with Stokes System with some First Order Boundary Condition2009

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Maximal Regularity Theorem for the Stokes System with some First Order Boundary Condition2009

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] A conjecture and its partial proof on a kind of Diophantous equations related to the generation of ill-conditioned matrices2009

    • Author(s)
      Tetsuo Nishi
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima. Japan
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] Extreme Value Decomposition of a Nonnegative Matrix2009

    • Author(s)
      Kunio Tanabe
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-28
    • Related Report
      2008 Annual Research Report
  • [Presentation] Guaranteed error estimates for solutions to nonlinear 2 point boundary value problems2009

    • Author(s)
      Akitoshi Takayasu
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical verification on existence of periodic solutions to ODEs2009

    • Author(s)
      Nobito Yamamoto
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Verified Automatic Multiple Integration Algorithm using Double Exponential Formula2009

    • Author(s)
      Naoya Yamanaka
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima. Japan
    • Year and Date
      2009-03-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Convex Hull by Verified Computations2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima. Japan
    • Year and Date
      2009-03-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] Some Applications of Verified Numerical Computations and Error Free Transformations2009

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima. Japan
    • Year and Date
      2009-03-25
    • Related Report
      2008 Annual Research Report
  • [Presentation] A verified eigenvalue excluding method for the Orr-Sommerfeld problem with Poiseuille flow2009

    • Author(s)
      Yoshitaka Watanabe
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-24
    • Related Report
      2008 Annual Research Report
  • [Presentation] Accurate IVP Splver using Affine Arithmetic and Power Series Arithmetic2009

    • Author(s)
      Masahide Kashiwagi
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] Accurate Matrix Factorization and Applications2009

    • Author(s)
      Takeshi Ogita
    • Organizer
      2009 International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      Miyakojima, Japan
    • Year and Date
      2009-03-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] On the numerical verification method of solutions for evolutional equations2009

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      International Workshop on Verified Computations and Related Topics
    • Place of Presentation
      Karlsruhe. Germany
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高精度な行列分解とその応用2009

    • Author(s)
      荻田武史
    • Organizer
      平成21年応用数理学会,研究部会連合発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 行列式の和を利用した点と直線の位置関係のロバストな判定法について2009

    • Author(s)
      尾崎克久
    • Organizer
      平成21年応用数理学会,研究部会連合発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] DE公式を用いた精度保証付き多次元自動積分法2009

    • Author(s)
      山中脩也
    • Organizer
      平成21年応用数理学会,研究部会連合発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] 2階常微分方程式の非線形2点境界値問題に対する精度保証法2009

    • Author(s)
      高安亮紀
    • Organizer
      平成21年応用数理学会,研究部会連合発表会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Some Applications of Verified Numerical Computations and Error Free Transformations2009

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      International workshop on verified computations and related topics
    • Place of Presentation
      Karlsruhe, Germany
    • Year and Date
      2009-03-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] A computer-assisted stability proof for the Orr-Sommerfeld problem with Poiseuille flow2009

    • Author(s)
      Yoshitaka Watanabe
    • Organizer
      International workshop on verified computations and related topics
    • Place of Presentation
      Karlsruhe. Germany
    • Year and Date
      2009-03-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fast Quasi-Quadruple Precision Computation of Sparse Matrix-Vector Product2009

    • Author(s)
      Takeshi Ogita
    • Organizer
      The 4th International Conference on High Performance Scientific Computing
    • Place of Presentation
      Hanoi. Vietnam
    • Year and Date
      2009-03-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] Parallel and Accurate Matrix Multiplication based on Optimized BLAS2009

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      The 4th International Conference on High Performance Scientific Computing
    • Place of Presentation
      Hanoi. Vietnam
    • Year and Date
      2009-03-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形抵抗回路の動作点の数値的精度保証法2009

    • Author(s)
      大石進一
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      ホテルマリックス(宮崎)
    • Year and Date
      2009-01-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] 行列式が1の3次整数行列の一生成法2009

    • Author(s)
      西哲生
    • Organizer
      電子情報通信学会回路とシステム研究会
    • Place of Presentation
      ホテルマリックス(宮崎)
    • Year and Date
      2009-01-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Pattern formations in heat convection problems2009

    • Author(s)
      Takaaki Nishida
    • Organizer
      International Conference on Contemporary Applied Mathematics
    • Place of Presentation
      復旦大学、上海、中国
    • Year and Date
      2009-01-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Maximal Regularity for the Stokes System with some First Order Boundary Condition2009

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Workshop on "Analytic Semigroups and related Topics"
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-15
    • Related Report
      2008 Annual Research Report
  • [Presentation] Error free transformations of floating point numbers and its applications to constructing error free algorithms2009

    • Author(s)
      S. Oishi
    • Organizer
      Symbolic Numeric Computation (SNC 2009)
    • Place of Presentation
      Kyoto, Japan
    • Related Report
      2009 Final Research Report
  • [Presentation] Numerical existence theorem for solutions of fixed point type equations and its applications2009

    • Author(s)
      S. Oishi
    • Organizer
      International Conference on Engineering and Computational Mathematics (ECM2009)
    • Place of Presentation
      The Hong-Kong Polytechnic University, Hong-Kong
    • Related Report
      2009 Final Research Report
  • [Presentation] An eigenvalue excluding method for the Orr-Sommerfeld problem2009

    • Author(s)
      Y. Watanabe
    • Organizer
      International Conference on Engineering and Computational Mathematics (ECM2009)
    • Place of Presentation
      The Hong Kong Polytechnic University, Hong Kong, China
    • Related Report
      2009 Final Research Report
  • [Presentation] Navier-Stokes方程式の安定性について2008

    • Author(s)
      柴田良弘
    • Organizer
      東北大学大学院理学研究科数学専攻「応用数学セミナー」
    • Place of Presentation
      東北大学
    • Year and Date
      2008-12-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] ある非自己共役作用素の複素固有値の除外に対する数値的検証法2008

    • Author(s)
      渡部善隆
    • Organizer
      2008年度応用数学合同研究集会
    • Place of Presentation
      龍谷大学理工学部
    • Year and Date
      2008-12-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形計画問題の最適解の精度保証2008

    • Author(s)
      大石進一
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      石川県文教会館
    • Year and Date
      2008-12-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Maximal Regularity for certain Free Boundary Value Problems related to the Navier-Stokes Equations2008

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Damstadt工科大学数学コロキューム
    • Place of Presentation
      Darmstadt. Germany
    • Year and Date
      2008-11-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Orr-Sommerfeld方程式の固有値に対する計算機援用非存在証明2008

    • Author(s)
      渡部善隆
    • Organizer
      基盤(S)合同研究集会「流れ問題のための高品質数値解法と計算機援用解析学」
    • Place of Presentation
      KKRホテル金沢
    • Year and Date
      2008-11-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] スペクトル法による境界値問題の高精度数値検証2008

    • Author(s)
      中尾充宏
    • Organizer
      基盤(S)合同研究集会「流れ問題のための高品質数値解法と計算機援用解析学」
    • Place of Presentation
      KKRホテル金沢
    • Year and Date
      2008-11-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] DE公式を用いた高速精度保証付き数値積分法の改良2008

    • Author(s)
      山中脩也
    • Organizer
      RIMS研究集会数値解析における理論・手法・応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] 精度保証付き数値計算から見たナノ光シミュレーション2008

    • Author(s)
      大石進一
    • Organizer
      学振130号委員会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2008-11-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] 精度保証付き数値計算の現状-基礎としての線形系から非線形問題の計算機援用証明までのサーベイ2008

    • Author(s)
      大石進一
    • Organizer
      研究集会「非線型波動の数理と物理」
    • Place of Presentation
      九州大学筑波地区総合研究棟
    • Year and Date
      2008-11-07
    • Related Report
      2008 Annual Research Report
  • [Presentation] 浮動小数点数の無誤差変換と精度保証付き数値計算2008

    • Author(s)
      大石進一
    • Organizer
      第20回RAMPシンポジウム
    • Place of Presentation
      東京工業大学西9号館
    • Year and Date
      2008-10-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] 線形受動抵抗回路の解の精度保証について2008

    • Author(s)
      西哲生
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      石巻専修大学
    • Year and Date
      2008-10-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical Verification of Optimum Point in Linear Programming2008

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2008-10-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] On the constructive error estimates in the finite element methods with applications to the numerical verification of solutions for nonlinear PDEs2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2008-10-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] High Precision and Efficient Computation of Sparse Matrix-Vector Product2008

    • Author(s)
      Takeshi Ogita
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2008-10-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Robust Algorithm for Geometric Predicate by Sum of Determinants2008

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2008-10-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fast Verified Automatic Integration Algorithm Over Finite Interval2008

    • Author(s)
      Naoya Yamanaka
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      Daejeon. Korea
    • Year and Date
      2008-10-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fast Verified Automatic Integration Using Double Exponential Formula2008

    • Author(s)
      Naoya Yamanaka
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-10-01
    • Related Report
      2008 Annual Research Report
  • [Presentation] Accurate and Fast Sum of Floating Point Numbers and Applications to Verification Algorithms2008

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-10-01
    • Related Report
      2008 Annual Research Report
  • [Presentation] Tight inclusion of matrix multiplication and its portable implementation2008

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-09-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Validated computations for elliptic systems of FitzHugh-Nagumo type2008

    • Author(s)
      Kaori Nagatou
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-09-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Constructive a priori and a posteriori error estimates for bi-harmonic problems2008

    • Author(s)
      Koji Hashimoto
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-09-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] Verified Numerical Computation of Matrix Determinant2008

    • Author(s)
      Takeshi Ogita
    • Organizer
      The 13th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      El Paso, USA
    • Year and Date
      2008-09-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] FitzHugh-Nagumo型反応拡散方程式系に対する数値的検証法2008

    • Author(s)
      渡部善隆
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 重調和方程式に対する構成的事前誤差評価について2008

    • Author(s)
      橋本弘治
    • Organizer
      日本数学会2008年度秋期総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Maximal Regularity for the Thermoelastic Plate Equation with Hinged Boundary Condition2008

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Global solutions to the Navier-Stokes Equations with Coriolis Forces thourgh the Kato-Fujita Argument2008

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 表面張力を考慮に入れた流体の自由境界問題の時間局所可解性について2008

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] Navier-Stokes方程式の安定性について2008

    • Author(s)
      柴田良弘
    • Organizer
      研究集会「第4回非線型の諸問題」
    • Place of Presentation
      佐賀大学
    • Year and Date
      2008-09-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] 若手セッションパネル「若手研究者による学会への期待」2008

    • Author(s)
      荻田武史
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高精度な疎行列ベクトル積の高速計算2008

    • Author(s)
      荻田武史
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高精度な行列乗算のための行列分割の改善について2008

    • Author(s)
      尾崎克久
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] 高速精度保証付き自動積分法について2008

    • Author(s)
      山中脩也
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] FitzHugh-Nagumo型反応拡散方程式系に対する精度保証付き数値計算2008

    • Author(s)
      渡部善隆
    • Organizer
      日本応用数理学会2008年度年会
    • Place of Presentation
      東京大学柏キャンパス
    • Year and Date
      2008-09-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Some Methods to Compute Verified Matrix Determinants2008

    • Author(s)
      Takeshi Ogita
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Iterative Refinement for Ill-Conditioned Linear Equations2008

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Accurate Matrix Multiplication by Using Level 3 BLAS Operation2008

    • Author(s)
      Katsuhisa Ozaki
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fast Verified Automatic Integration Algorithm Using Complex Analysis2008

    • Author(s)
      Naoya Yamanaka
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical Verification of Optimum Point in Linear Programming2008

    • Author(s)
      Shin'ichi. Oishi
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Method for the Generation of a Class of Ill-Conditioned Matrices2008

    • Author(s)
      Tetsuo Nishi
    • Organizer
      2008 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2008-09-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] Pattern formations in heat convection problems, Parabolic and Navier-Stokes Equations2008

    • Author(s)
      T. Nishida
    • Organizer
      Banach Center
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2008-09-04
    • Related Report
      2009 Final Research Report
  • [Presentation] Pattern formations in heat convection problems2008

    • Author(s)
      Takaaki Nishida
    • Organizer
      Parabolic and Navier-Stokes Equations 2008
    • Place of Presentation
      Bedlewo. Poland
    • Year and Date
      2008-09-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] 無限次元非線形システムの精度保証付きパラメータ同定技法について2008

    • Author(s)
      中尾充宏
    • Organizer
      産業技術数理研究センター第4回ワークショップ
    • Place of Presentation
      九州大学
    • Year and Date
      2008-09-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] On resolvent problems for generalized Stokes equation arising from free boundary problem2008

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Parabolic and Navier-Stokes Equations 2008
    • Place of Presentation
      Bedlewo. Poland
    • Year and Date
      2008-09-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] On very accurate computation for solutions of elliptic problems with result verification by spectral method2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      The 2nd China-Japan-Korea Joint Seminar on Numerical Mathematics
    • Place of Presentation
      Weihai. China
    • Year and Date
      2008-08-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] 科学技術計算の品質保証2008

    • Author(s)
      渡部善隆
    • Organizer
      先駆的科学計算に関するフォーラム2008 -高精度・多倍長計算-
    • Place of Presentation
      九州大学
    • Year and Date
      2008-08-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] On very accurate computation of solutions with guaranteed error bounds for nonlinear elliptic problems by using a spectral Galerkin method2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      Institute Seminar for Scientific Computing and Mathematical Modeling
    • Place of Presentation
      Karlsruhe. Germany
    • Year and Date
      2008-07-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical Uniqueness and Existence Theorem for Solution of Lippmann-Schwinger Equation to Two Dimensional Sound Scattering Problem2008

    • Author(s)
      Shin'ichi Oishi
    • Organizer
      Gregynog Workshop 2008
    • Place of Presentation
      Cardiff. UK
    • Year and Date
      2008-07-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] Numerical verification of solutions for elliptic problems with very high accuracy by using a spectral method2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      Gregynog Workshop 2008
    • Place of Presentation
      Cardiff, UK
    • Year and Date
      2008-07-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] On the Free Boundary Problem for the Navier-Stokes Equations in the Lp Framework and Related Topics2008

    • Author(s)
      柴田良弘
    • Organizer
      RIHS研究集会「流体と気体の数学解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Calculation of Bessel and Hankel Functions with Guaranteed Accuracy2008

    • Author(s)
      大石進一
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      琉球大学
    • Year and Date
      2008-06-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] 「シミュレーション技術の将来展望-ロードマップの紹介と、人文社会科学分野への展開の可能性-」2008

    • Author(s)
      大石進一
    • Organizer
      第27回日本シミュレーション学会大会
    • Place of Presentation
      立命館大学
    • Year and Date
      2008-06-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] 行列式の精度保証付き数値計算法2008

    • Author(s)
      荻田武史
    • Organizer
      第27回日本シミュレーション学会大会
    • Place of Presentation
      立命館大学
    • Year and Date
      2008-06-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] ポータブルかつ誤差半径を過大評価しない行列乗算の包含について2008

    • Author(s)
      尾時克久
    • Organizer
      第27回日本シミュレーション学会大会
    • Place of Presentation
      立命館大学
    • Year and Date
      2008-06-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] 複素解析を用いた高速精度保証付き自動積分法2008

    • Author(s)
      山中脩也
    • Organizer
      第27回日本シミュレーション学会大会
    • Place of Presentation
      立命館大学
    • Year and Date
      2008-06-19
    • Related Report
      2008 Annual Research Report
  • [Presentation] Level 3 BLASを用いて行列乗算の精度を改善する方法について2008

    • Author(s)
      尾崎克久
    • Organizer
      第37回数値解析シンポジウム
    • Place of Presentation
      仙北市たざわこ芸術村
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] DE公式を用いた高速精度保証付き自動積分法2008

    • Author(s)
      山中脩也
    • Organizer
      第37回数値解析シンポジウム
    • Place of Presentation
      仙北市たざわこ芸術村
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] 悪条件連立一次方程式に対する残差反復法の収束性2008

    • Author(s)
      大石進一
    • Organizer
      第37回数値解析シンポジウム
    • Place of Presentation
      仙北市たざわこ芸術村
    • Year and Date
      2008-06-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Some remarks on the Aubin-Nitsche trick of FEM solutions for elliptic problems with singular adjoint operator2008

    • Author(s)
      M.T. Nakao
    • Organizer
      6th International Conference on Scientific Computing and Applications(SCA2008), Pusan National University
    • Place of Presentation
      Busan, Korea
    • Year and Date
      2008-06-03
    • Related Report
      2009 Final Research Report
  • [Presentation] Some remarks on the Aubin-Nitsche trick of FEM solutions for elliptic problems with singular adjoint operator2008

    • Author(s)
      Mitsuhiro T. Nakao
    • Organizer
      6th International Conference on Scientific Computing and Applications
    • Place of Presentation
      Busan. Korea
    • Year and Date
      2008-06-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] 解けたらうれしい線形方程式2008

    • Author(s)
      渡部善隆
    • Organizer
      第13回計算工学講演会
    • Place of Presentation
      仙台市仙台市民会館
    • Year and Date
      2008-05-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] 悪条件連立一次方程式に対する残差反復法2008

    • Author(s)
      大石進一
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      神戸
    • Year and Date
      2008-03-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] 高速で高精度な浮動小数点数の内積計算法と精度保証付き数値計算2008

    • Author(s)
      大石進一
    • Organizer
      日本数学会(企画特別講演)
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2008-03-22
    • Related Report
      2009 Final Research Report
  • [Presentation] 高速で高精度な浮動小数点数の内積計算法と精度保証付き数値計算2008

    • Author(s)
      大石進一
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] (Waseda Univ. /JST): Accurate and Fast Sum of Floating Point Numbers and Applications to Verification Algorithms2008

    • Author(s)
      S. Oishi
    • Organizer
      The 13th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations
    • Place of Presentation
      The University of Texas at El Paso
    • Related Report
      2009 Final Research Report
  • [Presentation] On resolvent problems for generalized Stokes equation arising from free boundary problem, International Conference on Parabolic and Navier-Stokes Equations 20082008

    • Author(s)
      Y. Shibata
    • Organizer
      Banach center
    • Place of Presentation
      porland
    • Related Report
      2009 Final Research Report
  • [Presentation] Iterative Refinement for Ill-Conditioned Linear Systems2008

    • Author(s)
      S. Oishi
    • Organizer
      International Workshop on Numerical Validation in Current Hardware Architectures at Dagstuhl Seminar
    • Place of Presentation
      Germany
    • Related Report
      2009 Final Research Report
  • [Presentation] Iterative Refinement for III-Condtioned Linear Systems2008

    • Author(s)
      S. Oishi
    • Organizer
      International Workshop on Numerical Validation in Current Hardware Architectures
    • Place of Presentation
      Dagstuhl, Germany
    • Related Report
      2007 Annual Research Report
  • [Presentation] Numerical verification on existence of periodic solutions to ODEs2008

    • Author(s)
      N. Yamamoto
    • Organizer
      International Workshop on Numerical verification and its Applications
    • Place of Presentation
      沖縄市
    • Related Report
      2007 Annual Research Report
  • [Presentation] Computer assited proofs of solutions for nonlinear heat convection problems2008

    • Author(s)
      Y. Watanabe
    • Organizer
      International Workshop on Numerical Verification and its Applications
    • Place of Presentation
      沖縄市
    • Related Report
      2007 Annual Research Report
  • [Presentation] 高次補間に基づく常微分方程式の精度保証法について2007

    • Author(s)
      山本野人
    • Organizer
      日本数学会 2007年度秋期総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Related Report
      2007 Annual Research Report
  • [Presentation] Fast and Accurate Dot Product Algorithm and its Applications to Verified Numerical Computation2007

    • Author(s)
      S. Oishi
    • Organizer
      The 3rd East Asia SIAM Conference
    • Place of Presentation
      Xiamen, China
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Numerical Uniqueness and Existence Theorem for Solution of Lippmann-Schwinger Equation2007

    • Author(s)
      S. Oishi
    • Organizer
      九州大学数理学府21世紀COEシンポジウム特別講演
    • Related Report
      2009 Final Research Report
  • [Presentation] Numerical Uniqueness and Existence Theorem for Solution of Lippmann-Schwinger Equation2007

    • Author(s)
      S.Oishi
    • Organizer
      九州大学数理学府21世紀COEシンポジウム
    • Place of Presentation
      九州大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Numerical Uniqueness and Existence Theorem for Solution of Lippmann-Schwinger Equation to Stationary Scattering Problem2007

    • Author(s)
      S. Oishi
    • Organizer
      ナノ光デバイスに関する日独セミナー
    • Place of Presentation
      米子市
    • Related Report
      2007 Annual Research Report
  • [Presentation] ベッセル関数の精度保証付き数値計算法2007

    • Author(s)
      大石進一
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      札幌市
    • Related Report
      2007 Annual Research Report
  • [Presentation] A theorem for numerical verification of local uniquness2007

    • Author(s)
      N. Yamamoto
    • Organizer
      ICIAM 07
    • Place of Presentation
      Zurich, Switzerland
    • Related Report
      2007 Annual Research Report
  • [Presentation] センター計算機群に対する実アプリケーションに即した性能評価2007

    • Author(s)
      渡部 善隆
    • Organizer
      RIITフォーラム2007
    • Place of Presentation
      九州大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Some computer-assited Proofs for nonlinear heat convection Problem2007

    • Author(s)
      Y. Watanabe
    • Organizer
      2007 Taiwan-Japan Joint workshop on Numerical Analysis and Scientific Computation
    • Place of Presentation
      Taipei
    • Related Report
      2007 Annual Research Report
  • [Presentation] 並行Poiseuille流れの安定性に関する計算機援用解析2007

    • Author(s)
      渡部善隆
    • Organizer
      研究集会・流れ問題のための高品質数値解法と精度保証計算
    • Place of Presentation
      島根県松江市
    • Related Report
      2007 Annual Research Report
  • [Presentation] 並行Poiseuille流れの不安定性に対する計算機援用証明2007

    • Author(s)
      渡部善隆
    • Organizer
      研究集会・計算科学の基盤技術としての高速アルゴリズムとその周辺
    • Place of Presentation
      京都大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] 反応拡散方程式系の解に対する計算機援用証明法2007

    • Author(s)
      渡部善隆
    • Organizer
      九州大学数値解析学セミナー
    • Place of Presentation
      九州大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] A computer-assited proof of solutions for an eliptic system of reaction-diffusion equations2007

    • Author(s)
      渡部善隆
    • Organizer
      「精度保証付き数値計算とその周辺」ワークショップ
    • Place of Presentation
      岐阜大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] ある反応拡散方程式系に対する精度保証付き数値計算2007

    • Author(s)
      渡部善隆
    • Organizer
      日本数学会2007年度秋季総合分科会
    • Place of Presentation
      東北大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] 対称疎行列の精度保証付き正定値判定計算におけるオーダリングの効用2007

    • Author(s)
      渡部善隆
    • Organizer
      日本応用数理学会
    • Place of Presentation
      北海道大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] A computer-assited proof of solutions for three dimensional nonlinear heat convection problem2007

    • Author(s)
      Y. Watanabe
    • Organizer
      International Conference on Recent Developments of Numerical Schemes for Flow Problems
    • Place of Presentation
      Kyushu University
    • Related Report
      2007 Annual Research Report
  • [Presentation] 疎連立一次方程式の解の反復解法を用いた数値的精度保証法2005

    • Author(s)
      大石進一
    • Organizer
      日本応用数理学会環瀬戸内応用数理研究部会第9回シンポジウム
    • Year and Date
      2005-11-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Numerical Verification for Solutions of Linear Systems, Algebraic and Numerical Algorithms and Computer-assisted Proofs2005

    • Author(s)
      S. Oishi
    • Organizer
      Dagstuhl Seminar
    • Place of Presentation
      Dagstuhl, Germany
    • Year and Date
      2005-09-29
    • Related Report
      2009 Final Research Report
  • [Presentation] 数値線形計算の精度保証に関する最新の発展-任意に精度を変更でき、大規模な問題を扱え、高速に計算するには-2005

    • Author(s)
      大石進一
    • Organizer
      力学系の研究-トポロジーと計算機による新展開
    • Place of Presentation
      京大数理解析研究所
    • Year and Date
      2005-06-22
    • Related Report
      2009 Final Research Report
  • [Book] 偏微分方程式から数値シミュレーションへ/計算の信頼性評価2008

    • Author(s)
      田端正久
    • Total Pages
      120
    • Publisher
      講談社
    • Related Report
      2008 Annual Research Report
  • [Book] ルベーグ積分論2006

    • Author(s)
      柴田良弘
    • Total Pages
      377
    • Publisher
      内田老鶴圃
    • Related Report
      2005 Annual Research Report

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Published: 2005-04-01   Modified: 2018-03-28  

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