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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 205-217
  • MSC: Primary 65N05
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0297151-1
  • MathSciNet review: 0297151