The maximal accuracy of stable difference schemes for the wave equation

DOI10.1007/BF01732980zbMath0826.65079OpenAlexW2079314386MaRDI QIDQ1893945

Kosie J. H. Smit, Rosemary A. Renaut, Rolf Jeltsch

Publication date: 26 November 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01732980

zbMATH Keywords

stabilitywave equationPadé approximationfinite difference methodsRiemann surfaceabsorbing boundary conditionsorder starsymmetric full discretization

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

ORDER STARS AND THE MAXIMAL ACCURACY OF STABLE DIFFERENCE SCHEMES FOR THE WAVE EQUATION

Cites Work

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• Absorbing boundary conditions, difference operators, and stability
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• Barriers to Stability
• The Optimal Accuracy of Difference Schemes
• ORDER STARS AND THE OPTIMAL ACCURACY OF STABLE, EXPLICIT DIFFERENCE SCHEMES
• Full Discretizations of $u_{tt} = u_{xx} $ and Rational Approximations to $\cosh \mu z$
• An accuracy barrier for stable three-time-level difference schemes for hyperbolic equations
• Order stars and stability theorems
• ORDER STARS AND THE MAXIMAL ACCURACY OF STABLE DIFFERENCE SCHEMES FOR THE WAVE EQUATION

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