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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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Stable difference schemes with uneven mesh spacings
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by Melvyn Ciment PDF
Math. Comp. 25 (1971), 219-227 Request permission

Abstract:

We consider a finite-difference approximation to the Cauchy problem for a firstorder hyperbolic partial differential equation using different mesh spacings in different portions of the domain. By reformulating our problem as a difference approximation to an initial-boundary value problem, we are able to use the theory of H. O. Kreiss and S. Osher to analyze the ${L_2}$ stability of our scheme.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 219-227
  • MSC: Primary 65N10
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0300470-3
  • MathSciNet review: 0300470