On difference approximations with wrong boundary values
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- by Heinz-Otto Kreiss and Einar Lundqvist PDF
- Math. Comp. 22 (1968), 1-12 Request permission
References
- Seymour V. Parter, Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem, Numer. Math. 4 (1962), 277–292. MR 148232, DOI 10.1007/BF01386319
- Peter D. Lax, On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients, Comm. Pure Appl. Math. 14 (1961), 497–520. MR 145686, DOI 10.1002/cpa.3160140324
- Gilbert Strang, Wiener-Hopf difference equations, J. Math. Mech. 13 (1964), 85–96. MR 0160335
- Heinz-Otto 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) John Wiley & Sons, Inc., New York, N.Y., 1966, pp. 141–166. MR 0214305 M. Y. T. Apelkranz, "On difference schemes for hyperbolic equations with discontinuous initial values." (To appear.)
- Herbert B. Keller and Vidar Thomée, Unconditionally stable difference methods for mixed problems for quasi-linear hyperbolic systems in two dimensions, Comm. Pure Appl. Math. 15 (1962), 63–73. MR 158555, DOI 10.1002/cpa.3160150105
- P. D. Lax and L. Nirenberg, On stability for difference schemes: A sharp form of Gȧrding’s inequality, Comm. Pure Appl. Math. 19 (1966), 473–492. MR 206534, DOI 10.1002/cpa.3160190409
Additional Information
- © Copyright 1968 American Mathematical Society
- 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