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Stability theory for difference approximations of mixed initial boundary value problems. I


Author: Heinz-Otto Kreiss
Journal: Math. Comp. 22 (1968), 703-714
MSC: Primary 65.67
DOI: https://doi.org/10.1090/S0025-5718-1968-0241010-7
MathSciNet review: 0241010
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References [Enhancements On Off] (What's this?)

  • [1] H.-O. Kreiss, "Difference approximations for the initial-boundary value problem for hyperbolic differential equations," Numerical Solutions of Nonlinear Differential Equations, Proc. Adv. Sympos., Madison, Wis., 1966, Wiley, New York, 1966. MR 35 #5156. MR 0214305 (35:5156)
  • [2] S. Osher, Systems of Difference Equations with General Homogeneous Boundary Conditions, BNL 11246, Brookhaven National Laboratory, Appl. Math. Dept.
  • [3] T. Kato, Perturbation Theory for Linear Operators, Die Grundlehren der math. Wiss., Band 132, Springer-Verlag, New York, 1966. MR 34 #3324. MR 0203473 (34:3324)
  • [4] V. Thomée, "Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variables," Math. Scand., v. 5, 1957, pp. 93-113. MR 19, 1059. MR 0092082 (19:1059d)

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DOI: https://doi.org/10.1090/S0025-5718-1968-0241010-7
Article copyright: © Copyright 1968 American Mathematical Society

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