@Article{JCM-21-401, author = {Linß , Torsten}, title = {Robustness of an Upwind Finite Difference Scheme for Semilinear Convection-Diffusion Problems with Boundary Turning Points}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {4}, pages = {401--410}, abstract = {

We consider a singularly perturbed semilinear convection-diffusion problem with a boundary layer of attractive turning-point type. It is shown that its solution can be decomposed into a regular solution component and a layer component. This decomposition is used to analyse the convergence of an upwind finite difference scheme on Shishkin meshes.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8882.html} }