RELATIONSHIPS AMONG SOME CLASSES OF IMPLICIT RUNGE-KUTTA METHODS AND THEIR STABILITY FUNCTIONS

被引：10

作者：

MUIR, PH

ENRIGHT, WH

机构：

[1] ST MARYS UNIV,DEPT MATH & COMP SCI,HALIFAX B3H 3C3,NS,CANADA

[2] UNIV TORONTO,DEPT COMP SCI,TORONTO M5S 1A1,ONTARIO,CANADA

来源：

BIT | 1987年 / 27卷 / 03期

关键词：

D O I：

10.1007/BF01933734

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

引用

页码：403 / 423

页数：21

共 50 条

[31] Strong stability of singly-diagonally-implicit Runge-Kutta methods
Ferracina, L.
Spijker, M. N.
APPLIED NUMERICAL MATHEMATICS, 2008, 58 (11) : 1675 - 1686
[32] STABILITY OF IMPLICIT RUNGE-KUTTA METHODS IN PARABOLIC DIFFERENTIAL-EQUATIONS
SCHMITT, BA
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1980, 60 (7BIS): : T317 - T319
[33] STABILITY AND B-CONVERGENCE OF LINEARLY IMPLICIT RUNGE-KUTTA METHODS
HUNDSDORFER, WH
NUMERISCHE MATHEMATIK, 1986, 50 (01) : 83 - 95
[34] CONVERGENCE AND STABILITY OF IMPLICIT RUNGE-KUTTA METHODS FOR SYSTEMS WITH MULTIPLICATIVE NOISE
HERNANDEZ, DB
SPIGLER, R
BIT, 1993, 33 (04): : 654 - 669
[35] IMPLICIT RUNGE-KUTTA METHODS FOR SOME INTEGRODIFFERENTIAL-ALGEBRAIC EQUATIONS
KAUTHEN, JP
APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 125 - 134
[36] STABILITY OF EXPLICIT RUNGE-KUTTA METHODS
SHAMPINE, LF
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1984, 10 (06) : 419 - 432
[37] Symmetric Runge-Kutta methods and their stability
Kulikov, GY
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2003, 18 (01) : 13 - 41
[38] STABILITY OF SOME CONTINUOUSLY IMBEDDED RUNGE-KUTTA METHODS OF SARAFYAN
THOMPSON, S
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1987, 13 (08) : 677 - 680
[39] IMPLICIT RUNGE-KUTTA PROCESSES
BUTCHER, JC
MATHEMATICS OF COMPUTATION, 1964, 18 (85) : 50 - &
[40] On the generation of mono-implicit Runge-Kutta-Nystrom methods by mono-implicit Runge-Kutta methods
De Meyer, H
Vanden Berghe, G
Van Hecke, T
Van Daele, M
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 87 (01) : 147 - 167

← 1 2 3 4 5 →