On convergence of monotone finite difference schemes with variable spatial differencing

Mathematics of Computation

Volumn 40, Issue 161, 1983, Pages 91-106

  Sanders, Richard ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966203226     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1983-0679435-6     Document Type: Article

References (8)

1. M. Crandall & A. Majda, "Monotone difference approximations for scalar conservation laws, " Math. Comp., v. 34, 1980, pp. 1-22.
2. N. Dunford & J. Schwartz, Linear Operators, Part 1: General Theory, Pure and Appl. Math., vol. 7, Interscience, New York, 1958.
3. B. Engquist & S. Osher, "Stable and entropy satisfying approximations for transonic now calculations, " Math. Comp., v. 34, 1980, pp. 45-75.
4. A. Harten, J. M. Hyman & P. D. Lax, "On finite difference approximations and entropy conditions for shocks, " Comm. Pure Appl. Math., v. 29, 1976, p p. 297-322.
5. S. N. Kruzkov, "First order quasi-linear equations with several space variables, " Math. USSR Sb., v. 10, 1970, p p. 217-243.
6. N. N. Kuznetsov, "On stable methods for solving non-linear first order partial differential equations in the class of discontinuous functions, " Topics in Numerical Analysis, (Proc. Roy. Irish Acad. Conf., Trinity Coll., Dublin, 1976), p p. 183-197.
7. P. D. Lax, "Hyperbolic systems of conservation laws and the mathematical theory of shock waves, " SIA M Reg. Conf. Series in Appl. Math., v. 11, 1972.
8. P. D. Lax & B. Wendroff, "Systems of conservation laws, " Comm. Pure Appl. Math., v. 13, 1960, pp. 217-237.