The ODE Formulation of Hyperbolic PDEs Discretized by the Spectral Collocation Method

DOI10.1137/0916035zbMath0830.65089OpenAlexW2007704511MaRDI QIDQ4837896

Morten Bjørhus

Publication date: 31 July 1995

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0916035

zbMATH Keywords

time integrationspectral collocation methodhyperbolic partial differential equationscharacteristic boundary conditions

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order hyperbolic equations (35L15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Multidomain solution of advection problems by Chebyshev spectral collocation ⋮ A block pseudospectral method for Maxwell's equations. I: One-dimensional case

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