Stable high‐order finite‐difference methods based on non‐uniform grid point distributions

DOI10.1002/fld.1510zbMath1131.65074OpenAlexW2046376278MaRDI QIDQ5438271

Miguel Hermanns, Juan Antonio Hernández

Publication date: 23 January 2008

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: http://oa.upm.es/2439/

zbMATH Keywords

stabilitywave equationconvection-diffusion equationevolution equationnumerical examplessemidiscretizationpseudospectraChebyshev collocationpiecewise polynomialsRunge phenomenonhigh-order finite-difference methodsconvection equations

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

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