2011 Fiscal Year Final Research Report
Numerical Methods with Validation for Partial Differential Equations with Singularities
| Project/Area Number |
21540106
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Yamagata University |
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Principal Investigator |
FANG Qing 山形大学, 理学部, 教授 (10243544)
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| Co-Investigator(Kenkyū-buntansha) |
SHINZO Kawamura 山形大学, 理学部, 教授 (50007176)
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| Co-Investigator(Renkei-kenkyūsha) |
SAWADA Hideki 山形大学, 基盤教育院, 教授 (30095856)
TAKUZI Nishimura 山形大学, 理学部, 准教授 (90333947)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 微分方程式 / 境界値問題 / 特異性 / 有限差分法 / 有限要素法 / 誤差評価 / 高次精度 |
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| Research Abstract |
Since partial differential equations (PDE) are used to in mathematical modeling of various natural phenomena, the development of numerical methods and their numerical analysis for PDE is an important subject not only in the theory of PDE but also in the practical fields of physics, chemistry, biology, engineering, financial marketing, and so on. In this research project, the representative made progresses in the study of one-dimensional two-point boundary value problems and two-dimensional elliptic boundary value problems. Higher order numerical methods are proposed and numerical analysis of them is carried out.
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Research Products
(13 results)
