On Fundamental Solutions of the Heat Conduction Difference Operator

  • Klaus Gürlebeck

    Bauhaus-Universität Weimar, Germany
  • A. Hommel

    Technische Universität Chemnitz-Zwickau, Germany

Abstract

is the aim of the paper to investigate fundamental solutions for the difference operator of heat conduction in the explicit and also in the implicit case. The existence of fundamental solutions will be shown in a constructive way. In both cases the convergence of the discrete fundamental solutions to the continuous fundamental solution will be investigated in the discrete l1l_1-space.

Cite this article

Klaus Gürlebeck, A. Hommel, On Fundamental Solutions of the Heat Conduction Difference Operator. Z. Anal. Anwend. 13 (1994), no. 3, pp. 425–441

DOI 10.4171/ZAA/503