A linear finite volume method for nonlinear cross-diffusion systems

Hideki Murakawa

    Research output: Contribution to journalArticlepeer-review

    13 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)1-26
    Number of pages26
    JournalNumerische Mathematik
    Issue number1
    Publication statusPublished - May 1 2017

    All Science Journal Classification (ASJC) codes

    • Computational Mathematics
    • Applied Mathematics


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