A proof of the order barrier for upwind schemes by Dahlquist's second barrier

DOI10.1016/0377-0427(86)90032-4zbMath0594.65058OpenAlexW2063662317MaRDI QIDQ1077138

Rolf Jeltsch

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90032-4

zbMATH Keywords

linear multistep methodssecond Dahlquist barrierupwind semidiscretizations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Stability and accuracy of difference schemes for hyperbolic problems
• The Optimal Accuracy of Difference Schemes
• Accuracy Bounds for Semidiscretizations of Hyperbolic Problems
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• Order Stars and a Saturation Theorem for First-order Hyperbolics
• A special stability problem for linear multistep methods
• Unnamed Item

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