数值求解奇异摄动微分方程的并行算法

A Parallel Algorithm for Numerically Solving the Singularly Perturbed Differential Equations

本文讨论的是变系数抛物型微分方程的奇异摄动问题。作者提出了一种解决该问题的并行算法 ,并且证明了该并行算法的收敛性关于ε是一致的。

This paper discusses the singularly perturbed parabolic differential equations in which coefficients are variable.With the algorithm,the parallel solution can be easily practised on parallel computers.The solution of the parallel algorithm are shown to converge uniformly in perturbation parameter ε to solution of singular perturbation problem.