A Symbolic Approach to Finite Difference Schemes and their von Neumann Stability

  • Viktor Levandovskyy (Speaker)

Activity: Talk or presentation › Other talk or presentation › unknown

Description

In this talk, we discuss the symbolic computation of finite difference schemes, applied to systems of PDE's with constant coefficients. In particular, a Groebner-bases based algorithm is proposed. As soon as the scheme is computed symbolically, we show how to analyze it for the consistency, von Neumann stability and dispersion. We discuss several examples in detail.
Period21 Apr 2006
Event titleContributed talk at SFB Status Seminar, Strobl
Event typeOther
LocationAustriaShow on map

Fields of science

  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 101 Mathematics
  • 101009 Geometry
  • 101005 Computer algebra