Construction of efficient structure-preserving methods for partial differential equations and its applications

2016 Fiscal Year Final Research Report

• Project/Area Number: 26390126
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Computational science
• Research Institution: The University of Tokyo
• Principal Investigator: Matsuo Takayasu 東京大学, 大学院情報理工学系研究科, 教授 (90293670)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 数値解析 / 偏微分方程式 / 構造保存解法

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.

Free Research Field

数値解析