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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Three-dimensional second-order accurate difference schemes for discontinuous hydrodynamic flows
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by Ephraim L. Rubin and Stanley Preiser PDF
Math. Comp. 24 (1970), 57-63 Request permission

Abstract:

In this paper, we show how a second-order accurate two-step method used in the numerical computation of hydrodynamic flows may be derived directly from the integral conservation laws. A necessary and sufficient condition for stability for the linearized equations is derived for the three-dimensional Cartesian coordinate case.
References
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  • Peter Lax and Burton Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 (1960), 217–237. MR 120774, DOI 10.1002/cpa.3160130205
  • R. D. Richtmyer, A Survey of Difference Methods for Non-Steady Fluid Dynamics, NCAR Technical Note 63–2, 1962. E. L. Rubin & S. Z. Burstein, "Difference methods for the inviscid and viscous equations of a compressible gas," J. Computational Phys., v. 2, 1967, pp. 178–196.
  • C. Truesdell and R. Toupin, The classical field theories, Handbuch der Physik, Bd. III/1, Springer, Berlin. With an appendix on tensor fields by J. L. Ericksen. MR 0118005
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 57-63
  • MSC: Primary 76.65
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0264904-4
  • MathSciNet review: 0264904