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Finite Element Methods for Huge Domain and Domain Decomposition Methods with Related Topics

Research Project

Project/Area Number 14340031
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe University of Electro-Communications

Principal Investigator

USHIJIMA Teruo  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (10012410)

Co-Investigator(Kenkyū-buntansha) TAKEDA Tatsuoki  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (60272746)
KAKO Takashi  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (30012488)
YAMAMOTO Nobito  The University of Electro-Communications, Faculty of Electro-Communications, Associate Professor, 電気通信学部, 助教授 (30210545)
TABATA Masahisa  Kyusyu University, Department of Mathematical Sciences, Professor, 大学院・数理学研究院, 教授 (30093272)
FUJIMA Shoiti  Ibaraki University, Faculty of Science, Associate Professor, 理学部, 助教授 (00209082)
小山 大介  電気通信大学, 電気通信学部, 助手 (60251708)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥12,800,000 (Direct Cost: ¥12,800,000)
Fiscal Year 2004: ¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2003: ¥4,000,000 (Direct Cost: ¥4,000,000)
Fiscal Year 2002: ¥5,700,000 (Direct Cost: ¥5,700,000)
KeywordsInternational exchange researchers / Fundamental solution method / 2D exterior reduced wave problems / Conformal mapping of wing / Vocal generation problems / Error estimation constants in FEM / Multi layer neural network / Upwinding technique and method of characteristic curve / 円外帰着波動問題基本解近似解法の誤差評価 / 二次元外部帰着波動問題の有限要素-基本解近似結合解法 / 音声発声の有限要素解析 / 逆問題の多層ニューラルネットワーク解法 / 風上近似・特性曲線近似による流れ問題有限要素数値解法 / ディリクレ境界条件円外帰着波動問題 / 基本解近似解法誤差評価 / 音声生成問題有限要素数値シミュレーション / 三次元ヘルムホルツ問題の仮想領域法・有限要素近似 / 2流体問題質量保存有限要素スキーム / レーリー・ベナール方程式の有限要素スキーム / ニュラルネットワーク / 水の波散乱シミュレータ / 無限領域ヘルムホルツ問題 / 円外帰着波動ノイマン境界条件問題 / ニューラルネットワーク変分同化法 / 無限領域向有限要素法 / 有限要素流体計算
Research Abstract

1.Main Results Obtained in the Joint Works around the Head Investigator :
Demonstration of the possibility for determination of the mapping of wing through finite element computation. Error estimate for the solutions of FSM(=Fundamental Solution Method)approximate problems to reduced wave problems in a domain exterior to a disc. Confirmation of the effectiveness of an FEM-FSM combined method applied to 2D exterior reduced wave problem, and its application to linear water wave problems in an exterior water region with constant water depth, where the abbreviation FEM stands for Finite Element Method.
2.Remarkable Progress Obtained in the Works by Investigators :
(1)Establishment of a method solving linear systems determining discrete vector potentials(by J.Watanabe).
(2)Application of multi layer neural networks to various types of inverse problems(in computer tomography, in data assimilation, in parameter evaluation, in time series prediction)(by T.Takeda).
(3)Application of finite element a … More nalysis for stationary wave transmission phenomena in unbounded domains to the problem of voice generation with successfully captured formants(by T.Kako).
(4)Development of a new method for determination of upper bounds for error estimation constants appeared in finite element computation of Poisson equations in non-convex polygonal domains(by N.Yamamoto).
(5)Theoretical study on the effect of stationary non homogeneous spatial structure to qualitative properties of solutions in the case of non-linear reaction-diffusion equations through numerical simulation and asymptotic analysis(by K.Nakamura).
(6)Mathematical and numerically experimental analysis of characteristic futures of approximation methods for various types of partial differential equations obtained through Runge-Kutta type formulas(by T.Koto).
(7)Overcome of the difficulties in finite element numerical solution methods in flow problems through upwinding technique and approximation way of characteristic curves(by M.Tabata).
(8)Finite element analysis of non-stationary field of eddy current based on moving coordinate system(by H.Kanayama).
(9)Flux free finite element method applied to two phase fluid problems(by K Ohmori).
(10)Parallel computation through mortar domain decomposition method(by S.Fujima).
(11)Purely theoretical analysis and numerical analysis of numerical instability problems arising with association of steep change of phenomena, in such as shock waves(by H.aiso).
3.Invitation of Foreign Cooperative Researcher :
(1)Professor Han Hou-de of Applied Mathematics Department, Tsinghua University, Beijing, China from July 26 to August 16,2002.
(2)Professor Yu De-hao of Institute of Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China from September 12 to October 3,2004.
4.Research Meetings :
(1)Yokohama Research Meeting was held an KKR Hotel Port Pear Yokohama from January 8 to 10,2003.
(2)Chofu Research Meeting was held at the University of Electro-Communications from February 19 to 20,2004.
(3)Chofu Symposium 2005 was held at the University of Electro-Communication from February 17 to 19,2005. Less

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (143 results)

All 2005 2004 2003 2002 Other

All Journal Article (97 results) Publications (46 results)

  • [Journal Article] Determination of BPS receiver differential biases by neural networkparameter estimation method2005

    • Author(s)
      X.F.Ma, T.Maruyama, G.Ma, T.Takeda
    • Journal Title

      Radio Science (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Three-dimensional ionospheric tomography using observation data of GPS ground receivers and ionosonde by neural network2005

    • Author(s)
      X.F.Ma, T.Maruyama, G.Ma, T.Takeda
    • Journal Title

      Journal of Geophysical Research (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Finite element matrices in congruent subdomains and their effective use for large scale computations2005

    • Author(s)
      A.Suzuki, M.Tabata
    • Journal Title

      International Journal for Numerical Methods in Engineering Vol.62(in press)

    • NAID

      120000981469

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] フラックス・フリー有限要素法による自由界面流れ解析2005

    • Author(s)
      奥村 弘, 大森克史
    • Journal Title

      第54回理論応用力学講演会講演論文集

      Pages: 233-234

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Determination of GPS receiver differential biases by neural network parameter estimation method2005

    • Author(s)
      X.F.Ma, T.Maruyama, G.Ma, T.Takeda
    • Journal Title

      Radio Science (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Determination of GPS receiver differential biases by neural networkparameter estimation method2005

    • Author(s)
      X.F.Ma, T.Maruyama, G.Ma, T.Takeda
    • Journal Title

      Radio Science (in press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 円外帰着波動問題基本解近似解法への多培長数値計算の適用2004

    • Author(s)
      千葉文浩, 牛島照夫
    • Journal Title

      数理解析研究所講究録 1362

      Pages: 178-183

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Numerical approximation of Dirichlet-to-Neumann mapping and its application to voice generation problem2004

    • Author(s)
      KATO, Takashi, TOUDA, Kentarou
    • Journal Title

      Proceedings of the 15th International Conference Of Domain Decomposition Method Vol.40

      Pages: 51-65

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A numerical verification of nontrivial solutions for the heat convection problem2004

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

      Journal of Mathematical Fluid Mechanics Vol.6

      Pages: 1-20

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Method of lines approximations of delay differential equations2004

    • Author(s)
      Toshiyuki Koto
    • Journal Title

      Comput.Math.Appl. Vol.48

      Pages: 393-404

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Blow-up solutions appearing in the vorticity dynamics with linear strain2004

    • Author(s)
      Ken-Ichi Nakamura, Hisashi Okamoto, Hiroki Yagisita
    • Journal Title

      Journal of Mathematical Fluid Mechanics Vol.6

      Pages: 157-168

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] ADVENTURE Magneticによる3次元磁場解析2004

    • Author(s)
      金山寛, 杉本振一郎
    • Journal Title

      九州大学情報基盤センター広報誌 Vol.4

      Pages: 41-58

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Benchmark problems for numerical schemes to passively transported interface2004

    • Author(s)
      S.Fujima, K.Ohmori
    • Journal Title

      International Journal of Computational Fluid Dynamics Vol.18

      Pages: 317-322

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] フラグランジュ乗数を用いた質量保存型有限要素法2004

    • Author(s)
      大森克史, 齊藤宣一
    • Journal Title

      第9回計算工学講演会論文集 Vol.9

      Pages: 187-190

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 質量保存型有限要素法におけるフラックス行列の計算法2004

    • Author(s)
      奥村 弘, 大森克史
    • Journal Title

      第9回計算工学会講演論文集 Vol.9

      Pages: 591-594

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mass conservative finite element method for free interface flows2004

    • Author(s)
      K.Ohmori, N.Saito, H.Okumura
    • Journal Title

      Proceedings of European Congress on Computational Methods in Applied Science and Engineering (ECCOMAS2004) Vol.2

      Pages: 1-13

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 2次精度特性曲線有限要素法の数値積分に関する強靭性について2004

    • Author(s)
      藤間昌一, 田端正久
    • Journal Title

      京都大学数理解析研究所講究録

      Pages: 196-204

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] 連続モデルに由来しない離散モデルの不安定性(カーバンクル不安定性)/Carbuncale instability, which does not come from the original continuous model2004

    • Author(s)
      相曽 秀昭, ABOUZIAROV Moustafa, 高橋匡康
    • Journal Title

      宇宙航空研究開発機構特別資料JAXASP-03-002航空宇宙数値シミュレーション技術シンポジウム2003論文集

      Pages: 148-153

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 保存形差分近似の構造問題(弾塑性流体)への応用/An Application of Conservative scheme to structure problems (Elasztic-Plastic Flow)2004

    • Author(s)
      ABOUZIAROV Moustafa, 相曽秀昭, 高橋匡康
    • Journal Title

      宇宙航空研究開発機構特別資料JAXA-SP-03-002航空宇宙数値シミュレーション技術シンポジウム2003論文集

      Pages: 154-159

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Numerical approximation of Dirichlet-to-Neumann mapping and its application to voice generation problem, Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering2004

    • Author(s)
      KAKO, Takashi, TOUDA, Kentarou
    • Journal Title

      Proceedings of the 15th International Conference of Domain Decomposition Method Vol.40

      Pages: 51-65

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Traveling waves in a band domain with quasi-periodically undulating boundaries2004

    • Author(s)
      Bendong Lou, Matano Hiroshi, Ken-Ichi Nakamura
    • Journal Title

      SUURIKAISEKI KOKYUUROKU 1356

      Pages: 73-81

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mass conservative finite element method for free interface flows2004

    • Author(s)
      K.Ohmori, N.Saito, H.Okumura
    • Journal Title

      Proceedings of European Congress on Computational Methods in Applied Science and Engineering(ECCOMAS 2004)(P.N'eittaanm'aki et al.(eds)) Vol.II(CD-ROM)

      Pages: 1-13

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 翼の等角写像の有限要素計算による同定2004

    • Author(s)
      西崎誉, 牛島照夫, 半田恭介
    • Journal Title

      宇宙航空研究開発機構特別資料JAXA-SP-03-002 航空宇宙数値シミュレーショシ技術シンポジウム2003論文集

      Pages: 131-136

    • NAID

      120006829773

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 円外帰着波動問題基本解近似解法への多倍長数値計算の適用2004

    • Author(s)
      千葉文浩, 牛島照夫
    • Journal Title

      数理解析研究所講究録 1362

      Pages: 178-183

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Numerical approximation of Dirichlet-to-Neumann mapping and its application to voice generation problem2004

    • Author(s)
      KAKO, Takashi, TOUDA, Kentarou
    • Journal Title

      Proceedings of the 15th International Conference of Domain Decomposition Method Vol.40

      Pages: 51-65

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Traveling waves in a band domain with quasi-periodically undulating boundaries2004

    • Author(s)
      Bendong Lou, Matano Hiroshi, Ken-Ichi Nakamura
    • Journal Title

      数理解析研究所講究録 Vol.1356

      Pages: 73-81

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mass conservative finite element method for free interface flows2004

    • Author(s)
      K.Ohmori, N.Saito, H.Okumura
    • Journal Title

      Proceedings of European Congress on Computational Methods in Applied Science and Engineering (ECCOMAS 2004) Vol.2

      Pages: 1-13

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 連続モデルに由来しない離散モデルの不安定性(カーバンクル不安定性)/Carbuncle instability, which does not come from the original continuous model2004

    • Author(s)
      相曽秀昭, ABOUZIAROV Moustafa, 高橋匡康
    • Journal Title

      宇宙航空研究開発機構特別資料JAXASP-03-002 航空宇宙数値シミュレーション技術シンポジウム2003論文集

      Pages: 148-153

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 保存形差分近似の構造問題(弾塑性流体)への応用/An Application of Conservative scheme to structure problems (Elasztic-Plastic Flow)2004

    • Author(s)
      ABOUZIAROV Moustafa, 相曽秀昭, 高橋匡康
    • Journal Title

      宇宙航空研究開発機構特別資料JAXASP-03-002 航空宇宙数値シミュレーション技術シンポジウム2003論文集

      Pages: 154-159

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A fundamental solution method for the reduced wave problem in adomain exterior to a disc2003

    • Author(s)
      USHIJIMA, Teruo, CHIBA, Fumihiro
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.152

      Pages: 545-557

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc2003

    • Author(s)
      USHIJIMA, Teruo, CHIBA, Fumihiro
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.159

      Pages: 137-148

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On incompressible viscous fluid flows with slip boundary conditions2003

    • Author(s)
      Jiro Wanatabe
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.159-1

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimal estimation of parameters of dynamical systems by neural network collocation method2003

    • Author(s)
      Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda
    • Journal Title

      Computer Physics Communication Vol.150 No.3

      Pages: 215-234

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Applying neural network collocation method to an incompletely known dynamical system via weak constraintdata assimilation2003

    • Author(s)
      Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda
    • Journal Title

      Monthly Weather Review Vol.131 No.8-1

      Pages: 1696-1714

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A mixed type finite element approximation for radiation problems using fictitious domain method2003

    • Author(s)
      NASIR, Haniffa Mohamed, KAKO, Takashi, KOYAMA, Daisuke
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.152

      Pages: 377-392

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains2003

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

      Journal of Computational and Applied Mathematics Vol.159

      Pages: 173-183

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some computer assistedproofs for solutions of the heat convectionproblems2003

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

      Reliable Computing Vol.9

      Pages: 359-372

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stability of theta-methods for delay integro-differential equation2003

    • Author(s)
      Toshiyuki Koto
    • Journal Title

      J.Comput.Appl.Math. Vol.161

      Pages: 393-404

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Partitioned Runge-Kutta methods for partial differential equations2003

    • Author(s)
      Toshiyuki Koto
    • Journal Title

      京都大学数理解析研究所講究録 Vol.1320

      Pages: 60-70

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions for nonlinear diffusion equations2003

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      Proceedings of the Second International Conference on Nonlinear Analysis and Convex Analysis

      Pages: 363-372

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth2003

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      Publications of Research Institute for Mathematical Science Vol.39

      Pages: 767-783

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Navier-Stokes方程式の非有界な解は爆発し得る2003

    • Author(s)
      岡本久, 中村健一, 柳下浩紀
    • Journal Title

      数理解析研究所講究録 Vol.1322

      Pages: 102-106

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Bounds for effective speeds of traveling fronts in spatially periodic media2003

    • Author(s)
      Ken-Ichi Nakamura
    • Journal Title

      数理解析研究所講究録1330

      Pages: 79-87

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions to a quasilinear parabolic equation2003

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      Proceedings of the 12th Tokyo Conference on Nonlinear PDE

      Pages: 71-76

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 有限要素スキームの開発と解析--流体問題の数値解析から、微分方程式の数値解法と線形計算2003

    • Author(s)
      田端正久
    • Journal Title

      数理解析研究所講究録 Vol.1320

      Pages: 7-17

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A domain decomposition method for large-scale 3-D nonlinear magnetostatic problems2003

    • Author(s)
      H.Kanayama, H.Zheng, N.Maeno
    • Journal Title

      Theoretical and Applied Mechanics Vol.52

      Pages: 247-254

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Finite element computation of magnetic field problems with the displacement current2003

    • Author(s)
      H.Kanayama, D.Tagami, K.Imoto, S.Sugimoto
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.159

      Pages: 77-84

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Convergence analysis of the interfacial transport phenomena2003

    • Author(s)
      K.Ohmori, S.Fujima, Y.Fujita
    • Journal Title

      Mathematics Journal Toyama University Vol.26

      Pages: 109-129

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] ラグランジュ乗数を用いた質量保存型有限要素法による移動界面の解析2003

    • Author(s)
      大森克史, 奥村弘
    • Journal Title

      第17回数値流体力学シンポジウム講演論文集 Vol.C9-2(CD-ROM)

      Pages: 1-2

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Machinery of numerical instability in conservative difference approximations for compressible Euler equations2003

    • Author(s)
      AISO Hideaki, ABOUZIAROV Moustafa, TAKAHASHI Tadayasu
    • Journal Title

      京都大学数理解析研究所講究録 Vol.1353

      Pages: 178-191

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An application of conservative scheme to structure problems (Elastic-Plastic Flows)2003

    • Author(s)
      AISO Hideaki, ABOUZIAROV Moustafa, TAKAHASHI Tadayasu
    • Journal Title

      京都大学数理解析研究所講究録 Vol.1353

      Pages: 192-201

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A fundamental solution method for the reduced wave problem in a domain exterior to a disc2003

    • Author(s)
      USHIJIMA, Teruo, CHIBA, Fumihiro
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.152

      Pages: 545-557

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On incompressible viscous fluid flows with slip boundary conditions2003

    • Author(s)
      Jiro Watanabe
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.159-1

      Pages: 161-172

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimal estimation of parameters of dynamical systems by neural network collocation method2003

    • Author(s)
      Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda
    • Journal Title

      Computer Physics Communications Vol.150, No.3

      Pages: 215-234

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Applying neural network collocation method to an incompletely known dynamical system via weak constraint data assimilation2003

    • Author(s)
      Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda
    • Journal Title

      Monthly Weather Review Vol.131, No.8、Part 1

      Pages: 1696-1714

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains2003

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

      The Proceedings of the Sixth Japan-China Joint Seminar, special issue of Journal of Computational and Applied Mathematics Vol.159

      Pages: 173-183

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some computer assisted proofs for solutions of the heat convection problems2003

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

      Reliable Computing Vol.9

      Pages: 359-372

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Partitioned Runge-Kutta methods for partial differential equations2003

    • Author(s)
      Toshiyuki Koto
    • Journal Title

      SUURIKAISEKI KOKYUUROKU Vol.1320

      Pages: 60-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions for nonlinear diffusion equations2003

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      Proceedings of the second international conference on nonlinear analysis and convex analysis

      Pages: 363-372

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Bounds for effective speeds of traveling fronts in spatially periodic media2003

    • Author(s)
      Ken-Ichi Nakamura
    • Journal Title

      SUURIKAISEKI KOKYUUROKU 1330

      Pages: 79-87

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Machinery of numerical instability in conservative difference approximations for compressible Euler equations, Mathematical Analysis in Fluid and Gas Dynamics2003

    • Author(s)
      AISO Hideaki, ABOUZIAROV Moustafa, TAKAHASHI Tadayasu
    • Journal Title

      SUURIKAISEKI KOKYUUROKU 1353

      Pages: 178-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] An application of conservative scheme to structure problems(Elastic-Plastic Flows), Mathematical Analysis in Fluid and Gas Dynamics2003

    • Author(s)
      AISO Hideaki, ABOUZIAROV Moustafa, TAKAHASHI Tadayasu
    • Journal Title

      SUURIKAISEKI KOKYUUROKU 1353

      Pages: 192-201

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Equi-distant collocation method for periodic functions with kernel expression2002

    • Author(s)
      USHIJIMA, Teruo
    • Journal Title

      Proceedings of Fifth China-Japan Joint Seminar on Numerical Mathematics, Held in Shanghai

      Pages: 220-226

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] プラズマ実験解析・制御へのニューラルネットワークの応用2002

    • Author(s)
      竹田辰興, 彌政敦洋
    • Journal Title

      プラズマ・核融合学会誌 Vol.78-9

      Pages: 842-856

    • NAID

      10009629744

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymmetric Abel inversion by neural network for reconstruction of plasma density distribution2002

    • Author(s)
      Xiao Feng Ma, Tatsuoki Takeda
    • Journal Title

      Nuclear Instruments and Methods in Physics Research Vol.492 No.1-2

      Pages: 178-189

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Newmark's method and discrete energy applied to resistive MHD equation2002

    • Author(s)
      CHIBA, Fumihiro, KAKO, Takashi
    • Journal Title

      Vietnam Journal of Mathematics Vol.30

      Pages: 501-520

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A numerical approximation method for a non-local operator Applied to a radiation problem2002

    • Author(s)
      NASIR, Haniffa Mohamed, KAKO, Takashi
    • Journal Title

      京都大学数理解析研究所講究録 Vol.1265

      Pages: 173-183

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Domain decomposition method applied to a coupling vibration problem between shell and acoustics2002

    • Author(s)
      KAKO, Takashi, NASIR, Haniffa Mohamed
    • Journal Title

      A Series of Handbooks on Theory and Engineering Applications of Computational Methods

      Pages: 487-493

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Essential spectrum and mixed type finite element method2002

    • Author(s)
      KAKO, Takashi, NASIR, Haniffa Mohamed
    • Journal Title

      Proceedings of International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics Vol.19

      Pages: 155-167

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stability of Runge-Kutta methods for delay integro-differential equation2002

    • Author(s)
      Toshiyuki Koto
    • Journal Title

      J.Comput.Appl.Math. Vol.145

      Pages: 483-492

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions to a model of spiral crystal growth2002

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      数理解析研究所講究録 Vol.1258

      Pages: 72-84

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mathematical Modeling and numerical simulation of Earth's mantle convection2002

    • Author(s)
      M.Tabata, A.Suzuki
    • Journal Title

      Mathematical Modeling and numerical simulation in Continuum Mechanics

      Pages: 219-231

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A second order characteristic finite element scheme for convection-diffusion problems2002

    • Author(s)
      H.Rui, M.Tabata
    • Journal Title

      Numerische Mathematik Vol.92

      Pages: 161-177

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Effectiveness of the A-φ method for 3-D eddy current problems2002

    • Author(s)
      H.Kanayama, D.Tagami, K.Imoto
    • Journal Title

      Theoretical and Applied Mechanics Vol.51

      Pages: 411-417

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] D.Tagami and S.Matsumoto: 3-D eddy current computation for a transformer tank2002

    • Author(s)
      H.Kanayama, R.Shioya
    • Journal Title

      COMPEL Vol.21

      Pages: 554-562

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A large scale computation of 3-D eddy current problems2002

    • Author(s)
      H.Kanayama, D.Tagami
    • Journal Title

      International Journal of Applied Electromagnetics and Mechanics Vol.14

      Pages: 51-55

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Finite element analysis using a regularized Heaviside function for interfacial transport phenomena2002

    • Author(s)
      S.Fujima, K.Ohmori
    • Journal Title

      第7回計算工学講演会論文集 Vol.7

      Pages: 757-758

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Equi-distant collocation method for periodic functions with kernel expression2002

    • Author(s)
      USHIJIMA, Teruo
    • Journal Title

      Proceedings of Fifth China-Japan Joint Seminar on Numerical Mathematics, held in Shanghai, August 21-25,2000(Edited by Z.-C.Shi and H.Kawarada)(Science Press, Beijing/New York)

      Pages: 220-226

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymmetric Abel inversion by neural network for reconstruction of plasma density distribution2002

    • Author(s)
      Xiao Feng Ma, Tatsuoki Takeda
    • Journal Title

      Nuclear Instruments and Methods in Physics Research Vol.492, No.1-2

      Pages: 178-189

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A numerical approximation method for a non-local operator applied to a radiation problem2002

    • Author(s)
      NASIR, Haniffa Mohamed, KAKO, Takashi
    • Journal Title

      SUURIKAISEKI KOKYUUROKU Vol.1265

      Pages: 173-183

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Domain decomposition method applied to a coupling vibration problem between shell and acoustics, Domain Decomposition Methods in Science and Engineering, Thirteenth International Conference on Domain Decomposition2002

    • Author(s)
      KAKO, Takashi, NASIR, Haniffa Mohamed
    • Journal Title

      A Series of Handbooks on Theory and Engineering Applications of Computational Methods

      Pages: 487-493

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Essential spectrum and mixed type finite element method, Lecture Notes in Computational Science and Engineering, Mathematical Modelling and Numerical Simulation in Continuum Mechanics2002

    • Author(s)
      KAKO, Takashi, NASIR, Haniffa Mohamed
    • Journal Title

      Proceedings of International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics Vol.19

      Pages: 155-167

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions to a model of spiral crystal growth2002

    • Author(s)
      Toshiko Ogiwara, Ken-Ichi Nakamura
    • Journal Title

      SUURIKAISEKI KOKYUUROKU 1258

      Pages: 72-84

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mathematical modeling and numerical simulation of Earth's mantle convection2002

    • Author(s)
      M.Tabata, A.Suzuki
    • Journal Title

      Mathematical Modeling and Numerical Simulation in Continuum Mechanics(P.G.Ciarlet, I.Babushka and T.Miyoshi, editors)(Springer, Berlin)

      Pages: 219-231

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Effectiveness of the A-ψmethod for 3-D eddy current problems2002

    • Author(s)
      H.Kanayama, D.Tagami, K.Imoto:
    • Journal Title

      Theoretical and Applied Mechanics Vol.51

      Pages: 411-417

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 3-D eddy current computation for a transformer tank2002

    • Author(s)
      H.Kanayama, R.Shioya, D.Tagami, S.Matsumoto
    • Journal Title

      COMPEL Vol.21

      Pages: 554-562

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A large scale computation of 3-D eddy current problems2002

    • Author(s)
      H.Kanayama, D.Tagami, S.Matsumoto
    • Journal Title

      International Journal of Applied Electromagnetics and Mechanics Vol.14

      Pages: 51-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 翼の等角写像の有限要素計算による同定

    • Author(s)
      西崎誉, 牛島照夫, 半田恭介
    • Journal Title

      宇宙航空研究開発機構特別資料JAXA-SP-03-002航空宇宙数値シミュレーション技術シンポジウム2003論文集

      Pages: 131-136

    • NAID

      120006829773

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Finite element approximation in infinite Prandtl number Boussinesq equations with temperature dependent coefficients thermal convection problems in a spherical shell

    • Author(s)
      M.Tabata
    • Journal Title

      Future Generation Computer Systems (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

    • Author(s)
      M.Tabata, D.Tagami
    • Journal Title

      Numerische Mathematik (to appear)

    • NAID

      120000981467

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients--thermal convection problems in a spherical shell

    • Author(s)
      M.Tabata
    • Journal Title

      Future Generation Computer Systems (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Robustness of a characteristic finite element scheme of second order in time increment, Computational Fluid Dynamics 2004

    • Author(s)
      M.Tabata, S.Fujima
    • Journal Title

      Proceedings of the Third International Conference on Computational Fluid Mechanics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

    • Author(s)
      M.Tabata, D.Tagami
    • Journal Title

      Numerische Mathematik (to appear)

    • NAID

      120000981467

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Multiprecision experiment for a fundamental solution method applied to reduced wave problems in the exterior region of a disc

    • Author(s)
      Teruo Ushijima, Fumihiro Chiba
    • Journal Title

      Proceedings of the 7th China Japan Joint Seminar for Computationall Mathematics and Scientific Computation (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients thermal convection problems in a spherical shell

    • Author(s)
      M.Tabata
    • Journal Title

      Future Generation Computer Systems (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Robustness of a characteristic finite element scheme of second orderin time increment

    • Author(s)
      M.Tabata, S.Fujima
    • Journal Title

      Computational Fluid Dynamics 2004, Proceedings of the Third International Conference on Computational Fluid Mechanics (to appear)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

    • Author(s)
      M.Tabata, D.Tagami
    • Journal Title

      Numerische Mathematik (to appear)

    • NAID

      120000981467

    • Related Report
      2004 Annual Research Report
  • [Publications] USHIJIMA, Teruo, CHIBA, Fumihiro: "A fundamental solution method for the reduced wave problem in a domain exterior to a disc"Journal of Computational and Applied Mathematics. Vol.152. 545-557 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] USHIJIMA, Teruo, CHIBA, Fumihiro: "Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc"Journal of Computational and Applied Mathematics. Vol.159. 137-148 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 西崎誉, 牛島照夫, 半田恭介: "翼の等角写像の有限要素計算による同定"航空宇宙技術研究所、航空宇宙数値シュミレーション技術シンポジウム2003. (収録見込み).

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      2003 Annual Research Report
  • [Publications] 千葉文浩, 牛島照夫: "円外帰着波動問題基本解近似解法への多倍長数値計算の適用"数理解析研究所講究録「数値解析と新しい情報技術」. (収録見込み).

    • Related Report
      2003 Annual Research Report
  • [Publications] Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda: "Optimal estimation of parameters of dynamical systems by neural network collocation method"Computer Physics Communications. Vol.150. 215-234 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda: "Applying neural network collocation method to an incompletely known dynamical system via weak constraint data assimilation"Monthly Weather Review. Vol.131. 1696-1714 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] NASIR, Haniffa Mohamed, KAKO, Takashi, KOYAMA, Daisuke: "A mixed type finite element approximation for radiation problems using fictitious domain method"Journal of Computational and Applied Mathematics. Vol.152. 377-392 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Yamamoto, K.Hayakawa: "Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains"Journal of Computational and Applied Mathematics. Vol.159. 173-183 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Watanabe, N.Yamamoto, M.T.Nakao, T.Nishida: "A numerical verification of nontrivial solutions for the heat convection problem"Journal of Mathematical Fluid Mechanics. Vol.6. 1-20 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Koto: "Partitioned Runge-Kutta methods for partial differential equations"京都大学数理解析研究所講究録. Vol.1320. 60-70 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Koto: "Stability of θ-methods for delay integro-differential equations"J.Comput.Appl.Math.. Vol.161. 393-404 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 岡本久, 中村健一, 柳下浩紀: "Navier-Stokes方程式の非有界な解は爆発し得る"数理解析研究所講究録. Vol.1322. 102-106 (2003)

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      2003 Annual Research Report
  • [Publications] Ken-Ichi Nakamura: "Bounds for effective speeds of traveling fronts in spatially periodic media"数理解析研究所講究録. Vol.1330. 79-87 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Toshiko Ogiwara, Ken-Ichi Nakamura: "Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth"Publications of Research Institute for Mathematical Sciences. Vol.39, No.4(in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] Bendong Lou, Matano Hiroshi, Ken-Ichi Nakamura: "Traveling waves in a band domain with quasi-periodically undulating boundaries"数理解析研究所講究録. (to appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] D.Koyama: "Application of a fictitious domain method to 3D Helmholtz problems"数理解析研究所講究録. No.1320. 37-46 (2003)

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      2003 Annual Research Report
  • [Publications] 渡辺 二郎: "On incompressible viscous fluid flows with slip boundary conditions"Journal of Computational and Applied Mathematics. Vol.159 No.1. 161-172 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients-thermal convection problems in a spherical shell"Future Generation Computer Systems. (to appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] Hiroshi KANAYAMA, Hongjie ZHENG, Natsuki MAENO: "A domain decomposition method for large-scale 3-D nonlinear magnetostatic problems"Theoretical and Applied Mechanics. Vol.52. 247-254 (2003)

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      2003 Annual Research Report
  • [Publications] Hiroshi KANAYAMA, Daisuke TAGAMI, Koichiro IMOTO, Sin-ichiro SUGIMOTO: "Finite element computation of magnetic field problems with the displacement current"Journal of Computational and Applied Mathematics. Vol.159. 77-84 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hiroshi KANAYAMA, Daisuke TAGAMI, Koichiro IMOTO, Shin-ichiro SUGOMOTO: "3-D eddy current computation using the A-φ method for a transformer tank"Sixth International Symposium on Electric and Magnetic Fields from Numerical Models to Industrial Applications. 47-50 (2003)

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  • [Publications] K.Ohmori, S.Fujima, Y.Fujita: "Convergence of the interface for inter facial transport phenomena"Math.J.Toyama Univ.. Vol.26. 109-129 (2003)

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  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interface"International Journal of Computational Fluid Dynamics. (to appear).

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  • [Publications] 大森克史, 奥村弘: "ラグランジュ乗数を用いた質量保存型有限要素法による移動界面問題の解析"第17回数値流体力学シンポジウム講演論文集. C9-2. 1-2 (2003)

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  • [Publications] 三井斌友, 小藤俊幸, 齊藤善弘: "微分方程式による計算科学入門"共立出版. 214 (2004)

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  • [Publications] USHIJIMA, Teruo: "Equi-distant collocation method for periodic functions with kernel expression"Proceedings of Fifth China-Japan Joint Seminar on Numerical Mathematics. 220-226 (2002)

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  • [Publications] USHIJIMA, Teruo, CHIBA, Fumihiro: "A fundamental solution method for the reduced wave problem in a domain exterior to a disc"Proceedings of the International Conference on Recent Advances in Computational Mathematics. (to appear).

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  • [Publications] USHIJIMA, Teruo, CHIBA, Fumihiro: "Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc"Proceedings of the Sixth Japan-China Joint Seminar. (to appear).

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  • [Publications] Tatsuoki Takeda, Ali Liaqat, Makoto Fukuhara: "Neural network with residual minimization training as a general inverse solver"Proceedings of the International Workshop on Modern Science and Technology 2002. 145-150 (2002)

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  • [Publications] Xiao Feng Ma, Tatsuoki Takeda: "Asymmetric Abel inversion by neural network for reconstruction of plasma density distribution"Nuclear Instruments and Methods in Physics Research. Vol.492,No.1-2. 178-189 (2002)

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  • [Publications] Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda: "Optimal estimation of parameters of dynamical systems by neural network collocation method"Computer Physics Communications. Vol.150,No.3. 215-234 (2003)

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  • [Publications] Ali Liaqat, Makoto Fukuhara, Tatsuoki Takeda: "Applying neural network collocation method to an incompletely known dynamical system via weak constraint data assimilation"Monthly Weather Review 2003. (to appear).

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  • [Publications] H.M.Nasir, T.Kako, D.Koyama: "A mixed-type finite element approximation for radiation problems using fictitious domain method"Journal of Computational and Applied Mathematics. Vol.152. 377-392 (2003)

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  • [Publications] CHIBA, Fumihiro, KAKO, Takashi: "Newmark's method and discrete energy applied to resistive MHD equation"Vietnam Journal of Mathematics. (to appear).

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  • [Publications] KAKO, Takashi, NASIR, Haniffa Mohamed: "Domain decomposition method applied to a coupling vibration problem between shell and acoustics"Domain Decomposition Methods in Science and Engineering Thirteenth International Conference on Domain Decomposition. 487-493 (2002)

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  • [Publications] Tohiyuki Koto: "Stability of Runge-Kutta methods for delay integro-differential equations"Journal of Computational and Applied Mathematics. Vol.145,No.2. 483-492 (2002)

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  • [Publications] Toshiyuki Koto: "Stability analysis of numerical methods for delay integro-differential equations"京都大学数理解析研究所講究録. Vol.1265. 189-199 (2002)

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  • [Publications] Yamamoto, N., Hayakawa, K.: "Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains"Proceedings of the Sixth Japan-China Joint Seminar. (to appear).

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  • [Publications] Toshiko Ogiwara, Ken-Ichi Nakamura: "Asymptotic behavior of solutions to a model of spiral crystal growth"数理解析研究所講究録. 1258「非線形拡散系とその周辺」. 72-84 (2002)

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  • [Publications] Toshiko Ogiwara, Ken-Ichi Nakamura: "Asymptotic behavior of solutions for nonlinear diffusion equations"Proceedings of the second international conference on nonlinear analysis and convex analysis. (to appear). (2003)

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  • [Publications] Ken-Ichi Nakamura, Hisashi Okamoto, Hiroki Yagisita: "Blow-up solutions appearing in the vorticity dynamics with linear strain"Journal of Mathematical Fluid Mechanics. (to appear).

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  • [Publications] D.Koyama: "A controllability method with an artificial boundary condition for the exterior Helmholtz problem"Japan Journal of Industrial and Applied Mathematics. Vol.20,No.1. 117-145 (2003)

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  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. Vol.92. 161-177 (2002)

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  • [Publications] Hiroshi KANAYAMA, Daisuke TAGAMI, Koichiro IMOTO: "Effectiveness of the A-phi method for 3-D eddy current problems"Theoretical and Applied Mechanics. Vol.51. 411-417 (2002)

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  • [Publications] Hiroshi KANAYAMA, Ryuji SHIOYA, Daisuke TAGAMI, Satoshi MATSUMOTO: "3-D eddy current computation for a transformer tank"COMPEL. Vol.21,No.4. 554-562 (2002)

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  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interfaces"Computational Fluid Dynamics Journal. (to appear).

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Published: 2002-04-01   Modified: 2016-04-21  

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