TY - JOUR
T1 - Shishkin Meshes in the Numerical Solution of Singularly Perturbed Differential Equations
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 393
EP - 415
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/727.html
KW - Singularly perturbed problems, Shishkin mesh, Shishkin solution decomposition.
AB - <p style="text-align: justify;">This article reviews some of the salient features of the piecewise-uniform
Shishkin mesh. The central analytical techniques involved in the associated
numerical analysis are explained via a particular class of singularly
perturbed differential equations. A detailed discussion of the Shishkin solution
decomposition is included. The generality of the numerical approach introduced
by Shishkin is highlighted. The impact of Shishkin&#39;s ideas on the field
of singularly perturbed differential is assessed in this selective review of his
research output over the past thirty years.</p>