Explicit single step methods with optimal order of convergence for partial differential equations

被引：8

作者：

Alonso-Mallo, I ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Matemat Aplicada & Computac, Valladolid, Spain

来源：

APPLIED NUMERICAL MATHEMATICS | 1999年 / 31卷 / 02期

关键词：

method of lines; order reduction;

D O I：

10.1016/S0168-9274(98)00132-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct explicit single step discretizations of linear, non-homogeneous initial boundary value problems. These methods use polynomial approximations for the time discretization. The order reduction phenomenon, present when a fully discrete Runge-Kutta is used, is avoided and the maximum expected order of convergence is achieved. The results are illustrated numerically, (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.

引用

页码：117 / 131

页数：15

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