Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation

DOI10.1023/A:1015158227243zbMath0999.65108OpenAlexW204196179MaRDI QIDQ1610563

R. Smith

Publication date: 20 August 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015158227243

zbMATH Keywords

wave equationhyperbolic systemsRunge-Kutta methodsabsorbing boundary conditionspseudospectral Chebyshev methodeigenvalue stability

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) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations ⋮ Lanczos-Chebyshev pseudospectral methods for wave-propagation problems ⋮ Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions

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