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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Models of difference schemes for $u_{t}+u_{x}=0$ by partial differential equations
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by G. W. Hedstrom PDF
Math. Comp. 29 (1975), 969-977 Request permission

Abstract:

It is well known that difference schemes for hyperbolic equations display dispersion of waves. For a general dissipative difference scheme, we present a dispersive wave equation and show that the dispersions are essentially the same when the initial data is a step function.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 969-977
  • MSC: Primary 65M15
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0388797-4
  • MathSciNet review: 0388797