A linear finite volume method for nonlinear cross-diffusion systems

Hideki Murakawa

研究成果: Contribution to journalArticle

5 引用 (Scopus)

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In this paper, we propose and analyze a linear finite volume scheme for general nonlinear cross-diffusion systems. The scheme consists of discretization of linear elliptic equations and pointwise explicit algebraic corrections at each time step. Therefore, the scheme can be implemented very easily, moreover, it is unconditionally stable. We establish error estimates in the L2 norm.

元の言語英語
ジャーナルNumerische Mathematik
136
発行部数1
DOI
出版物ステータス出版済み - 5 1 2017

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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