×

zbMATH — the first resource for mathematics

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

MSC:
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
PDF BibTeX XML Cite
Full Text: DOI
References:
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.