A TRANSFORMATION FOR THE ANALYSIS OF DIMSIMS

被引：13

作者：

BUTCHER, JC ^{[1
]}

机构：

[1] UNIV AUCKLAND,DEPT MATH,AUCKLAND,NEW ZEALAND

来源：

BIT | 1994年 / 34卷 / 01期

关键词：

GENERAL LINEAR METHOD; DIAGONALLY IMPLICIT METHOD; DIMSIM; ORDER CONDITIONS; STABILITY POLYNOMIAL;

D O I：

10.1007/BF01935014

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The special case of diagonally-implicit multistage integration methods is considered in which the order, the stage order, the number of values passed between steps and the number of stages in a step, all coincide. It is shown that a similarity transformation can be applied to the matrices characterizing the method so as to simplify the expression for the stability polynomial and thus aid in the search for methods with acceptable stability.

引用

页码：25 / 32

页数：8