Abstract

AbstractA systematic procedure is presented to derive stability conditions for leap‐frog‐type finite‐difference schemes for the multidimensional constant‐coefficient convective‐diffusion equation. The treatise includes von Neumann stability analysis for pure initial‐value problems and matrix stability analysis for Dirichlet boundary‐value problems. Discrepancies on time‐step restriction between von Neumann stability analysis and matrix stability analysis are observed.

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