Implicit Runge-Kutta methods in magnetodynamic problems

被引：2

作者：

Nicolet, A

机构：

[1] Univ. d'Aix-Marseille III, Electrical Engineering Department, Marseille

来源：

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING | 1997年 / 16卷 / 01期

关键词：

D O I：

10.1108/03321649710163761

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Presents the implicit Runge-Kutta methods as an interesting alternative to Crank-Nicolson and backward Euler methods to solve differential algebraic systems arising in nonlinear transient magnetodynamic problems. An algorithm for diagonally implicit Runge-Kutta methods is proposed that requires minor modifications of existing codes.

引用

页码：49 / &

页数：8

共 50 条

[21] Efficient Nested Implicit Runge-Kutta Methods for Nonlinear Stiff Problems
Ur-Rehman, Attique
Rehman, Shafiq Ur
Ahmad, Junaid
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (06): : 33 - 51
[22] IMPLICIT RUNGE-KUTTA PROCESSES
BUTCHER, JC
MATHEMATICS OF COMPUTATION, 1964, 18 (85) : 50 - &
[23] 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
[24] Investigation and application of point implicit Runge-Kutta methods to inviscid flow problems
Langer, Stefan
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2012, 69 (02) : 332 - 352
[25] APPLICATION OF IMPLICIT RUNGE-KUTTA AND COLLOCATION METHODS TO BOUNDARY-VALUE PROBLEMS
WEISS, R
MATHEMATICS OF COMPUTATION, 1974, 28 (126) : 449 - 464
[26] IMPLICIT RUNGE-KUTTA FORMULAS
FILIPPI, S
SOMMER, D
ELECTRONISCHE DATENVERARBEITUNG, 1968, 10 (03): : 113 - &
[27] On implicit Runge-Kutta methods with high stage order
Bendtsen, C
BIT, 1997, 37 (01): : 221 - 226
[28] EFFICIENT SOLUTION PROCESS FOR IMPLICIT RUNGE-KUTTA METHODS
BICKART, TA
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (06) : 1022 - 1027
[29] On implicit Runge-Kutta methods with high stage order
C. Bendtsen
BIT Numerical Mathematics, 1997, 37 : 221 - 226
[30] An Efficient Scheme for the Implementation of Implicit Runge-Kutta Methods
Skvortsov, L. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (11) : 2007 - 2017

← 1 2 3 4 5 →