Stability of a Chebychev pseudospectral solution of the wave equation with absorbing boundaries

DOI10.1016/S0377-0427(97)00192-1zbMath0898.65058MaRDI QIDQ1379696

Rosemary A. Renaut

Publication date: 1 November 1998

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

zbMATH Keywords

stabilitywave equationChebyshev pseudospectral methodabsorbing boundaries

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

The shallow water equations in Lagrangian coordinates ⋮ Chebyshev pseudospectral method for wave equation with absorbing boundary conditions that does not use a first order hyperbolic system ⋮ Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions ⋮ A note on stability of pseudospectral methods for wave propagation

Cites Work

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• Stability of the method of lines
• Absorbing boundaries for wave propagation problems
• Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
• A pseudospectral Chebychev method for the 2D wave equation with domain stretching and absorbing boundary conditions
• Pseudospectra for the wave equation with an absorbing boundary
• Numerical Absorbing Boundary Conditions for the Wave Equation
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• Radiation boundary conditions for acoustic and elastic wave calculations

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