Construction of efficient structure-preserving methods for partial differential equations and its applications
| Project/Area Number |
26390126
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Computational science
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| Research Institution | The University of Tokyo |
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Principal Investigator |
Matsuo Takayasu 東京大学, 大学院情報理工学系研究科, 教授 (90293670)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 数値解析 / 偏微分方程式 / 構造保存解法 |
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| Outline of Final Research Achievements |
This research aims at improving existing structure-preserving methods so that the become more efficient and practical methods for applications. Through this research, we established "efficient structure-preserving methods based on discontinuous Galerkin methods", "an analysis method for structure-preserving methods based on dynamical systems theory", "introduction of moving meshes", and "new structure-preserving methods for partial differential equations with a mixed derivative". Through these findings we gained a new, stronger framework of structure-preserving methods.
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Report
(4 results)
Research Products
(20 results)
