Spectral collocation methods

DOI10.1016/0168-9274(89)90033-0zbMath0671.65093OpenAlexW2062869432MaRDI QIDQ1119369

David A. Kopriva, Anthony T. Patera, M. Yousuff Hussaini

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/19870020353

zbMATH Keywords

stabilityChebyshev polynomialsaccuracyiterative methodsdomain decomposition methodspreconditionersspectral collocation methodsLegendre polynomialssurvey articlesmoothing methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for nonlinear higher-order PDEs (35G30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02)

Related Items

The effective condition number applied to error analysis of certain boundary collocation methods ⋮ Superconsistent collocation methods with applications to convection-dominated convection-diffusion equations ⋮ A coordinate transformation based barycentric interpolation collocation method and its application in bending, free vibration and buckling analysis of irregular Kirchhoff plates ⋮ Solving Parametric Fractional Differential Equations Arising from the Rough Heston Model Using Quasi-Linearization and Spectral Collocation ⋮ Convergence of the method of fundamental solutions for Poisson's equation on the unit sphere ⋮ Pseudospectral calculations of viscoelastic flow in a periodically constricted tube ⋮ Spectral analysis on Burgers' equation and its solutions using three different basis functions ⋮ Spectral collocation/domain decomposition method for viscoelastic flow simulations in model porous geometries

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