Structure-Preserving Numerical Methods for Differential Equations(Survey,<Special Topics>Activity Group "Scientific Computation and Numerical Analysis")

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  • Matsuo Takayasu
    Graduate School of Information Science and Technology, The University of Tokyo
  • Miyatake Yuto
    Graduate School of Information Science and Technology, The University of Tokyo

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  • 微分方程式に対する構造保存数値解法(サーベイ,<特集>科学技術計算と数値解析研究部会)
  • 微分方程式に対する構造保存数値解法
  • ビブン ホウテイシキ ニ タイスル コウゾウ ホゾン スウチカイホウ

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Abstract

"Structure-preserving numerical methods" for differential equations are such special methods that preserve certain structures in differential equations. Since the concept had been raised in 1980's for ordinary differential equations, the subject has been extensively studied, and now the related studies have spreaded also to partial differential equations. In this survey, the elements of such methods are outlined, and some recent progresses are briefly described.

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