Stability of Friedrichs's scheme in the maximum norm for hyperbolic systems in one space dimension

DOI10.1016/0096-3003(80)90024-7zbMath0474.65067OpenAlexW2063386365MaRDI QIDQ1158934

S. H. Smith

Publication date: 1980

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(80)90024-7

zbMATH Keywords

Cauchy problemmaximum normFriedrich's difference schemeregularly hyperbolic system

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Besov spaces and applications to difference methods for initial value problems
• Stability of difference schemes in the maximum-norm
• Maximum Norm Estimates for Friedrichs’ Scheme in Two Dimensions
• Maximum-Norm Estimates of the Rate of Convergence of Dissipative Difference Schemes for Strictly Hyperbolic Systems
• Stability Theory for Partial Difference Operators
• An algebra of pseudo difference schemes and its application
• On stability for difference schemes; a sharp form of gårding's inequality
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.
• On the stability of difference schemes

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