ON ORDER REDUCTION FOR RUNGE-KUTTA METHODS APPLIED TO DIFFERENTIAL ALGEBRAIC SYSTEMS AND TO STIFF SYSTEMS OF ODES

被引：16

作者：

BURRAGE, K ^{[1
]}

PETZOLD, L ^{[1
]}

机构：

[1] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,DIV COMP & MATH RES,LIVERMORE,CA 94550

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 02期

关键词：

D O I：

10.1137/0727027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The order reduction results of L. Petzold for implicit Runge-Kutta methods applied to index 1 differential/algebraic systems are extended to include a larger class of methods. The relationship between the order reduction results for differential/algebraic systems and recent results for stiff systems of ordinary differential equations is explained.

引用

页码：447 / 456

页数：10

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