DIAGNOSING STIFFNESS FOR RUNGE-KUTTA METHODS

被引：7

作者：

SHAMPINE, LF

机构：

来源：

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1991年 / 12卷 / 02期

关键词：

STIFFNESS; RUNGE-KUTTA;

D O I：

10.1137/0912015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit Runge-Kutta methods are a popular way to solve the initial value problem for a system of ordinary differential equations. Although very effective for nonstiff problems, they are impractical for stiff problems. This paper is concerned with how to diagnose stiffness as the reason for unsatisfactory performance by a code based on explicit Runge-Kutta formulas.

引用

页码：260 / 272

页数：13

共 19 条

[1]

Enright W. H., 1975, BIT (Nordisk Tidskrift for Informationsbehandling), V15, P10, DOI 10.1007/BF01932994

[2]

Franklin J. N., 1968, MATRIX THEORY

[3] AUTOMATIC SELECTION OF THE INITIAL STEP SIZE FOR AN ODE SOLVER [J].

GLADWELL, I ;

SHAMPINE, LF ;

BRANKIN, RW .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1987, 18 (02) :175-192

[4]

Gladwell I., 1979, ACM Transactions on Mathematical Software, V5, P386, DOI 10.1145/355853.355856

[5]

HALL G, 1986, ACM T MATH SOFTWARE, V12, P183, DOI 10.1145/7921.7922

[6] EQUILIBRIUM STATES OF RUNGE KUTTA SCHEMES [J].

HALL, G .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1985, 11 (03) :289-301

[7]

HIGHAM DJ, 1987, 140 U MANCH DEP MATH

[8] COMPARING NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS [J].

HULL, TE ;

ENRIGHT, WH ;

FELLEN, BM ;

SEDGWICK, AE .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1972, 9 (04) :603-637

[9]

LINDBERG B, 1973, TRITANA7303 ROYAL I

[10]

RENTROP P, 1983, TUMM8304 TU MUN DEP

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