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On difference approximations with wrong boundary values


Authors: Heinz-Otto Kreiss and Einar Lundqvist
Journal: Math. Comp. 22 (1968), 1-12
MSC: Primary 65.65
DOI: https://doi.org/10.1090/S0025-5718-1968-0228193-X
MathSciNet review: 0228193
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  • [4] H.-O. Kreiss, "Difference approximations for the initial-boundary value problem for hyperbolic differential equations," Numerical Solutions of Nonlinear Differential Equations, Proceedings of a Symposium at the University of Wisconsin (May 1966), edited by Donald Greenspan, Wiley, New York, 1966. MR 0214305 (35:5156)
  • [5] M. Y. T. Apelkranz, "On difference schemes for hyperbolic equations with discontinuous initial values." (To appear.)
  • [6] H. B. Keller & V. ThomÉE, "Unconditionally stable difference methods for mixed problems for quasi-linear hyperbolic systems in two dimensions," Comm. Pure Appl. Math., v. 15, 1962, pp. 63-73. MR 28 #1778. MR 0158555 (28:1778)
  • [7] P. D. Lax & L. Nirenberg, "On stability for difference schemes; a sharp form of Gårdings inequality," Comm. Pure Appl. Math., v. 19, 1966, pp. 473-492. MR 0206534 (34:6352)

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DOI: https://doi.org/10.1090/S0025-5718-1968-0228193-X
Article copyright: © Copyright 1968 American Mathematical Society

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