Contractive Difference Schemes for Symmetric Hyperbolic Systems

DOI10.2307/2004916zbMath0219.65068OpenAlexW4245160653MaRDI QIDQ5624590

Philip Brenner, Vidar Thomée

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2004916

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hyperbolic equations and hyperbolic systems (35L99)

Cites Work

• Unnamed Item
• Norms of powers of absolutely convergent Fourier series in several variables
• Differential equations, difference equations and matrix theory
• Über Matrizen die beschränkte Halbgruppen erzeugen.
• On difference approximations of the dissipative type for hyperbolic differential equations
• The Rate of Convergence of Some Difference Schemes
• On Difference Approximations with Wrong Boundary Values
• On Difference Schemes for Hyperbolic Equations with Discontinuous Initial Values
• Parabolic Difference Operators.
• Accuracy and dissipation in difference schemes
• Stability Theory for Partial Difference Operators
• On Systems of Difference Equations with Wrong Boundary Conditions
• Stability and Convergence Rates in $L^p$ for Certain Difference Schemes.
• Estimates Near Discontinuities for Some Difference Schemes.
• Norms of powers of absolutely convergent Fourier series