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A note concerning the two-step Lax-Wendroff method in three dimensions


Author: B. Eilon
Journal: Math. Comp. 26 (1972), 41-43
MSC: Primary 65P05; Secondary 76.65
DOI: https://doi.org/10.1090/S0025-5718-1972-0300457-1
MathSciNet review: 0300457
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Abstract: The two-step Lax-Wendroff method in three spatial dimensions is discussed and, dealing with its linear stability in the hydrodynamic case, the sufficiency of the von Neumann condition is proved.


References [Enhancements On Off] (What's this?)

  • [1] E. L. Rubin & S. Preiser, ``Three-dimensional second-order accurate difference schemes for discontinuous hydrodynamic flows,'' Math. Comp., v. 24, 1970, pp. 57-63. MR 0264904 (41:9494)
  • [2] R. D. Richtmyer & K. W. Morton, Difference Methods for Initial-Value Problems, 2nd ed., Interscience Tracts in Pure and Appl. Math., no. 4, Interscience, New York, 1967. MR 36 #3515. MR 0220455 (36:3515)
  • [3] H.-O. Kreiss, ``On difference approximations of the dissipative type for hyperbolic differential equations,'' Comm. Pure Appl. Math., v. 17, 1964, pp. 335-353. MR 29 #4210. MR 0166937 (29:4210)
  • [4] S. Z. Burstein, ``High order accurate difference methods in hydrodynamics,'' in Nonlinear Partial Differential Equations, W. F. Ames (Editor), Academic Press, New York, 1967, pp. 279-290. MR 36 #510.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1972-0300457-1
Keywords: Lax-Wendroff two-step method, three spatial dimensions, sufficient condition for linear stability, hydrodynamics
Article copyright: © Copyright 1972 American Mathematical Society

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