Stability theory of difference approximations for mixed initial boundary value problems. II

Gustafsson, Bertil; Kreiss, Heinz-Otto; Sundström, Arne

doi:10.1090/S0025-5718-1972-0341888-3

Stability theory of difference approximations for mixed initial boundary value problems. II
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by Bertil Gustafsson, Heinz-Otto Kreiss and Arne Sundström PDF

Math. Comp. 26 (1972), 649-686 Request permission

Abstract:

A stability theory is developed for general difference approximations to mixed initial boundary value problems. The results are applied to certain commonly used difference approximations which are stable for the Cauchy problem, and different ways of defining boundary conditions are analyzed.

References

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