Accuracy Bounds for Semidiscretizations of Hyperbolic Problems
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Publication:3725469
DOI10.2307/2008130zbMath0594.65059OpenAlexW4245824194MaRDI QIDQ3725469
Rolf Jeltsch, Klaus-Guenther Strack
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/2008130
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)
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A proof of the order barrier for upwind schemes by Dahlquist's second barrier ⋮ Stability and accuracy for implicit semidiscretizations of hyperbolic problems ⋮ Order stars and rational approximants to exp(z) ⋮ Rational approximants and numerical methods for initial-value problems ⋮ Stability and accuracy of difference schemes for hyperbolic problems
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