A direct higher order discretization in singular perturbations via domain split -- a computational approach

DOI10.1016/j.amc.2011.04.013zbMath1223.65059OpenAlexW1978179090MaRDI QIDQ548006

Christian Grossmann, Ranjan Kumar Mohanty, Hans-Goerg Roos

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.013

zbMATH Keywords

numerical resultssingular perturbationdomain decompositionnumerical experimentsShishkin meshestwo-point boundary value problemdifference methodshigher order discretization

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A domain decomposition method in the case of nonoverlapping subdomains for a singularly perturbed convection-diffusion equation
• Higher order methods for a singularly perturbed problem
• The solution of a singularly perturbed convection--diffusion problem by an iterative domain decomposition method
• High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type
• Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry
• A note on the conditioning of upwind schemes on Shishkin meshes
• A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers

This page was built for publication: A direct higher order discretization in singular perturbations via domain split -- a computational approach