Rational approximations to \(1/ \sqrt {1-s^ 2}\), one-way wave equations and absorbing boundary conditions

DOI10.1016/0377-0427(95)00276-6zbMath0860.65072OpenAlexW2171997697WikidataQ126989277 ScholiaQ126989277MaRDI QIDQ1923456

Rosemary A. Renaut, J. S. Parent

Publication date: 21 April 1997

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(95)00276-6

zbMATH Keywords

stabilitynumerical examplesdifference approximationabsorbing boundary conditionsone-way wave equations

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) 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) Approximation by rational functions (41A20) Computational methods for problems pertaining to geophysics (86-08)

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Rational approximations to \(1/ \sqrt {1-s^ 2}\), one-way wave equations and absorbing boundary conditions

Cites Work

• ``Free-space boundary conditions for the time dependent wave equation
• Absorbing boundary conditions, difference operators, and stability
• Wave propagation and underwater acoustics
• A pseudospectral Chebychev method for the 2D wave equation with domain stretching and absorbing boundary conditions
• Rational approximations to \(1/ \sqrt {1-s^ 2}\), one-way wave equations and absorbing boundary conditions
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
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