A New Method of Stabilization for Singular Perturbation Problems with Spectral Methods

DOI10.1137/0729007zbMath0747.65064OpenAlexW2017319829MaRDI QIDQ3989439

Henner Eisen, Wilhelm Heinrichs

Publication date: 28 June 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0729007

zbMATH Keywords

stabilizationcondition numbercollocationspectral methodssingular perturbation problemsNumerical resultsstabilized spectral system

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (14)

The Kidder Equation: ⋮ Spectral viscosity for convection dominated flow ⋮ Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations ⋮ A new efficient spectral Galerkin method for singular perturbation problems ⋮ An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier-Stokes equations ⋮ An adaptive spectral least-squares scheme for the Burgers equation ⋮ Least-squares spectral collocation for discontinuous and singular perturbation problems ⋮ A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations ⋮ Lower bounds of error estimates for singular perturbation problems with Jacobi-spectral approximations ⋮ Enriched spectral method for stiff convection-dominated equations ⋮ Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems ⋮ Spectral schemes on triangular elements ⋮ The error estimates of spectral methods for 1-dimension singularly perturbed problem ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

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