Spectral methods for singular perturbation problems

DOI10.21136/am.1994.134251zbMath0812.65100OpenAlexW3047863071MaRDI QIDQ1340771

Wilhelm Heinrichs

Publication date: 14 May 1995

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32877

zbMATH Keywords

convergencesingular perturbationartificial viscositynumerical examplesdomain decompositionrelaxationmultigrid methodboundary layerspectral methodadvection- diffusion equationsMehrstellen-method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10)

Related Items

Lower bounds of error estimates for singular perturbation problems with Jacobi-spectral approximations ⋮ Spectral methods for some singularly perturbed third order ordinary differential equations ⋮ Chebyshev solution of the nearly-singular one-dimensional Helmholtz equation and related singular perturbation equations: multiple scale series and the boundary layer rule-of-thumb

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