IMEX method convergence for a parabolic equation
偏微分方程分析
2007-05-23 v1
摘要
Although implicit-explicit (IMEX) methods for approximating solutions to semilinear parabolic equations are relatively standard, most recent works examine the case of a fully discretized model. We show that by discretizing time only, one can obtain an elementary convergence result for an implicit-explicit method. This convergence result is strong enough to imply existence and uniqueness of solutions to a class of semilinear parabolic equations.
引用
@article{arxiv.math/0702483,
title = {IMEX method convergence for a parabolic equation},
author = {Michael Robinson},
journal= {arXiv preprint arXiv:math/0702483},
year = {2007}
}
备注
10 pages