NUMERICAL-METHODS FOR EXTREMELY STIFF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS

被引：24

作者：

BUI, TD

BUI, TR

机构：

[1] Department of Computer Science, Concordia University, Montréal, Que., Sir George Williams Campus

[2] Department of Applied Sciences, Université du Québec, Chicoutimi, Que.

来源：

APPLIED MATHEMATICAL MODELLING | 1979年 / 3卷 / 05期

关键词：

D O I：

10.1016/S0307-904X(79)80042-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Computer simulation of dynamic systems very often leads to the solution of a set of stiff ordinary differential equations. The solution of this set of equations involves the eigenvalues of its Jacobian matrix. The greater the spread in eigenvalues, the more time consuming the solutions become when existing numerical methods are employed. Extremely stiff differential equations can become a very serious problem for some systems, rendering accurate numerical solutions completely uneconomic. In this paper, we propose new techniques for solving extremely stiff systems of differential equations. These algorithms are based on a class of implicit Runge-Kutta procedure with complete error estimate. The new techniques are applied to solving mathematical models of the relaxation problem behind blast waves. © 1979 IPC Business Press Ltd.

引用

页码：355 / 358

页数：4

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