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Stability theory of difference approximations for mixed initial boundary value problems. II. (English) Zbl 0293.65076

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L50 Initial-boundary value problems for first-order hyperbolic systems
Full Text: DOI
[1] Heinz-Otto Kreiss, Stability theory for difference approximations of mixed initial boundary value problems. I, Math. Comp. 22 (1968), 703 – 714. · Zbl 0197.13704
[2] H.-O. Kreiss, Difference approximations for initial boundary-value problems, Proc. Roy. Soc. London Ser. A 323 (1971), 255 – 261. A discussion on numerical analysis of partial differential equations (1970). · Zbl 0231.65073 · doi:10.1098/rspa.1971.0101 · doi.org
[3] 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, 1966, pp. 141 – 166.
[4] Heinz-Otto Kreiss, Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math. 23 (1970), 277 – 298. · Zbl 0188.41102 · doi:10.1002/cpa.3160230304 · doi.org
[5] Stanley Osher, Stability of parabolic difference approximations to certain mixed initial boundary value problems, Math. Comp. 26 (1972), 13 – 39. · Zbl 0254.65065
[6] James V. Ralston, Note on a paper of Kreiss, Comm. Pure Appl. Math. 24 (1971), no. 6, 759 – 762. · doi:10.1002/cpa.3160240603 · doi.org
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