SOME A-STABLE AND L-STABLE METHODS FOR THE NUMERICAL-INTEGRATION OF STIFF ORDINARY DIFFERENTIAL-EQUATIONS

被引：23

作者：

BUI, TD

机构：

[1] Department of Computer Science, Sir George Williams Campus, Concordia University, Montreal, Quebec H3G 1M8

来源：

JOURNAL OF THE ACM | 1979年 / 26卷 / 03期

关键词：

A-stability; L-stability; maximally damped solutions; oscillatory solutions; Rosenbrock type; semi-impltcit Runge-Kutta methods; stiff ordinary differential equations;

D O I：

10.1145/322139.322147

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Some A-stable and L-stable Rosenbrock type (semi-implicit Runge-Kutta) methods accurate to the fourth local order with only one computation of a Jacobian matrix per step of mtegratJon are constructed for the solution of the Cauchy problem for systems of stiff ordinary differential equations Numerical experiments show high efficiency of the proposed methods for excessively stiff systems. © 1979, ACM. All rights reserved.

引用

页码：483 / 493

页数：11

共 20 条

[1]

ALLEN RH, 1966, 6TH P ANN ALL C CIRC, P311

[2] EFFICIENT SOLUTION PROCESS FOR IMPLICIT RUNGE-KUTTA METHODS [J].

BICKART, TA .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (06) :1022-1027

[3] NEW SINGLE-STEP IMPLICIT INTEGRATION ALGORITHM WITH A-STABILITY AND IMPROVED ACCURACY [J].

BRANDON, DM .

SIMULATION, 1974, 23 (01) :17-29

[4]

BUI TD, 1977, 7TH P MAN C NUM MATH, P251

[5]

BUI TD, 1977, J ACM, V24, P623

[6]

BUI TD, 1977, 6TH P CAN C APPL MEC, P1035

[7]

BURRAGE K, 1977, 110 U AUCKL DEP MATH

[8]

Butcher J. C., 1976, BIT (Nordisk Tidskrift for Informationsbehandling), V16, P237, DOI 10.1007/BF01932265

[9] IMPLICIT RUNGE-KUTTA PROCESSES [J].

BUTCHER, JC .

MATHEMATICS OF COMPUTATION, 1964, 18 (85) :50-&

[10] A STABLE ACCURATE METHOD OF NUMERICAL INTEGRATION FOR NONLINEAR SYSTEMS [J].

CALAHAN, DA .

PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (04) :744-&

← 1 2 →