This article is cited in 9 papers

The Neumann stability of high-order symmetric schemes for convection-diffusion problems

O. V. Shishkina

Institute of Aerodynamics and Flow Technology, German Aerospace Center

Abstract: We find a series of sufficient conditions for the Neumann stability of the leapfrog-Euler scheme of arbitrary even order in the spatial coordinates for the three-dimensional convection-diffusion equation.

Keywords: Neumann stability, convection-diffusion, high-order scheme, finite volume method.

UDC: 519.633

Received: 18.06.2006

 English version: Siberian Mathematical Journal, 2007, 48:6, 1141–1146

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