A finite difference analysis of a streamline diffusion method on a Shishkin mesh

From MaRDI portal
Publication:1281794

DOI10.1023/A:1019185802623zbMath0916.65108OpenAlexW67803107MaRDI QIDQ1281794

Martin Stynes, Tobiska, Lutz

Publication date: 6 July 1999

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019185802623



Related Items

Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh, Using generating functions to convert an implicit \((3,3)\) finite difference method to an explicit form on diffusion equation with different boundary conditions, Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems, A higher order uniformly convergent method for singularly perturbed delay parabolic partial differential equations, Parameter-robust numerical method for time-dependent weakly coupled linear system of singularly perturbed convection-diffusion equations, Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters, Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems, A brief survey on numerical methods for solving singularly perturbed problems, An efficient computational technique for time dependent semilinear parabolic problems involving two small parameters, Layer-adapted meshes for convection-diffusion problems, A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem, A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion equations, An almost second order uniformly convergent scheme for a singularly perturbed initial value problem, A robust fitted operator finite difference method for a two-parameter singular perturbation problem1, Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem, Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer, Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations, A robust finite difference scheme for pricing American put options with singularity-separating method, Stability and accuracy of adapted finite element methods for singularly perturbed problems, Sufficient conditions for uniform convergence on layer-adapted grids, Numerical methods on Shishkin meshes for linear convection-diffusion problems, A compact finite difference scheme for 2D reaction-diffusion singularly perturbed problems, Uniform convergence of an upwind finite element method on layer-adapted grids, A parameter robust second order numerical method for a singularly perturbed two-parameter problem, The necessity of Shishkin decompositions, A robust layer-resolving spline collocation method for a convection-diffusion problem, High accuracy non-equidistant method for singular perturbation reaction-diffusion problem, Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation, A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient, Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations, Grid equidistribution for reaction-diffusion problems in one dimension, The streamline-diffusion method for a convection--diffusion problem with a point source, Local analysis of local discontinuous Galerkin method for the time-dependent singularly perturbed problem, On \(\varepsilon \)-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer, Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem, A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems