An orthogonal spline collocation alternating direction implicit method for second-order hyperbolic problems

DOI10.1093/imanum/23.4.693zbMath1080.65096OpenAlexW1984513496MaRDI QIDQ4460575

Ryan I. Fernandes, Bernard Bialecki

Publication date: 18 May 2004

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/23.4.693

zbMATH Keywords

stabilitycomparison of methodsfinite difference methoddiscontinuous coefficientsnumerical experimentsnonlinear problemsorthogonal spline collocationalternating direction implicit Laplace-modified methodlinear second-order hyperbolic initial-boundary value problemparameter-free alternating direction implicit scheme

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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) PDEs with low regular coefficients and/or low regular data (35R05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15)

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