INITIAL-VALUE PROBLEMS - NUMERICAL-METHODS AND MATHEMATICS

被引：2

作者：

BUTCHER, JC

机构：

[1] Mathematics Department, The University of Aukland Private Bag 92019, Auckland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 10-12期

关键词：

D O I：

10.1016/0898-1221(94)00182-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A number of questions and results concerning Runge-Kutta and general linear methods are surveyed. These include order conditions and order bounds for Runge-Kutta methods, the A-stability of implicit Runge-Kutta methods based on Gaussian quadrature and transformation methods of implementation which lead to singly-implicit methods. The sections dealing with general linear methods include a discussion of the order conditions and an algebraic structure for carrying out order analyses as well as an introduction to a special function associated with parallel methods for stiff problems.

引用

页码：1 / 16

页数：16

共 15 条

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[2]

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[3]

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[4]

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[5]

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