The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem

DOI10.1016/j.matcom.2009.01.007zbMath1166.65361OpenAlexW2039530548MaRDI QIDQ1025333

Ljiljana Teofanov, Katarina Surla, Zorica Uzelac

Publication date: 18 June 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.01.007

zbMATH Keywords

convergencenumerical resultssingular perturbationconvection-diffusion problemserror boundsShishkin meshtwo small parametersspline difference schemesquadratic spline collocation method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (9)

A uniformly convergent scheme for two-parameter problems having layer behaviour ⋮ A singularly perturbed problem with two parameters on a Bakhvalov-type mesh ⋮ Exponentially graded mesh for a singularly perturbed problem with two small parameters ⋮ A posteriori error analysis for defect correction method for two parameter singular perturbation problems ⋮ A robust layer-resolving spline collocation method for a convection-diffusion problem ⋮ A robust spline collocation method for pricing American put options ⋮ The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem ⋮ A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions ⋮ Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

Cites Work

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