Contractive difference schemes for symmetric hyperbolic systems

Brenner, Philip; Thomée, Vidar

doi:10.1090/S0025-5718-1971-0297151-1

Contractive difference schemes for symmetric hyperbolic systems
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by Philip Brenner and Vidar Thomée PDF

Math. Comp. 25 (1971), 205-217 Request permission

Abstract:

Consider the initial-value problem for a constant-coefficient symmetric hyperbolic system with initial-values vanishing in a half-space. Consider also a finite difference operator consistent with the system. Conditions are given in terms of the orders of dissipation and accuracy which ensure that the solution of the discrete problem tends to zero exponentially with the mesh-width in half-spaces where the solution of the continuous problem vanishes.

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Izv. Akad. Nauk SSSR

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