Development of an advanced method for nonlinear eigenvalue problems and its applications
| Project/Area Number |
25286097
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Computational science
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
多田野 寛人 筑波大学, システム情報系, 助教 (50507845)
今倉 暁 筑波大学, システム情報系, 助教 (60610045)
池上 努 国立研究開発法人産業技術総合研究所, 情報技術研究部門, 研究員 (80245612)
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| Research Collaborator |
FUTAMURA Yasunori
MAEDA Yasuyuki
CHEN Hongjia
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Fiscal Year 2015: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2014: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2013: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
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| Keywords | アルゴリズム / 高性能計算 / 大規模計算 / 非線形固有値問題 / 基盤ソフトウェア / 非線型固有値問題 |
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| Outline of Final Research Achievements |
In this project, we considered a numerical algorithm for nonlinear eigenvalue problems that can be applied to large-scale problems in various application areas of computational sciences. We studied theoretical aspects and some related techniques of a contour integral-based eivensolver for nonlinear eigenvalue problems to apply for various practical applications in computational sciences. According to the results, we developed a method for a spectral projection method using contour integral. We also developed some methods and related techniques to attain high performance and high reliability on large-scale cluster machines. We evaluated the efficiency of the method with some applications. We implemented our method on a function CISS in the software library for the solution of large scale sparse eigenvalue problems on parallel computers SLEPc that is developing at Universitat Politecnica de Valencia.
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Report
(5 results)
Research Products
(54 results)
