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IMA Journal of Numerical Analysis 1996 16(4):583-598; doi:10.1093/imanum/16.4.583
© 1996 by Institute of Mathematics and its Applications
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von Neumann stability conditions for the convection-diffusion eqation

P. WESSELING

Delft University of Technolgy, Faculty of Technical mathematics and Informatics P O Box 5031, 2600 GA Delft, The Netherlands

A method is presented to easily derive von Neumann stability conditions for a wide variety of time discretization schemes for the convection-diffusion equation. Spatial discretization is by the K-scheme or the fourth-order central scheme. The use of the method is illustrated by application to multistep, Runge-Kutta and implicit-explicit methods, such as are in current use for flow computations, and for which, with few exceptions, no sufficient von Neumann stability results are available.


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