Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay
作者：
Highlights：
• We consider an adaptive grid approach to solve a singularly perturbed differential difference equation with small delay.
• The mesh is constructed adaptively by equidistributing a arc-length monitor function.
• We derive a first-order maximum norm a posteriori estimate for the full discretization scheme.
• A first-order rate of convergence, independent of the perturbation parameter and the small delay parameter, is established.
摘要
•We consider an adaptive grid approach to solve a singularly perturbed differential difference equation with small delay.•The mesh is constructed adaptively by equidistributing a arc-length monitor function.•We derive a first-order maximum norm a posteriori estimate for the full discretization scheme.•A first-order rate of convergence, independent of the perturbation parameter and the small delay parameter, is established.
论文关键词：Singularly perturbed,Differential difference equations,Adaptive grid,Maximum norm,Uniform convergence
论文评审过程：Available online 11 December 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.10.085
