D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS

被引：0

作者：

Cheng-ming Huang (Institute of Applied Mathematics

机构：

来源：

JournalofComputationalMathematics | 2001年 / 03期

基金：

中国博士后科学基金;

关键词：

Delay Differential equations; Runge-Kutta methods; D-convergence;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

This paper is concerned with the numerical solution of delay differential equations(DDEs). We focus on the error behaviour of Runge-Kutta methods for star DDEs. We investigate D-convergence properties of algebraically stable Runge-Kutta methods with three kinds of interpolation procedures.

引用

页码：259 / 268

页数：10

共 50 条

[31] Contractivity of continuous Runge-Kutta methods for delay differential equations
Universita di Trieste, Trieste, Italy
Appl Numer Math, 2-3 (219-232):
[32] Parallel iteration methods of Runge-Kutta methods for delay differential equations
丁效华
刘明珠
Journal of Harbin Institute of Technology, 2004, (01) : 77 - 81
[33] Convergence　of　a　New　Adapting　Runge－Kutta　Method　to　Delay　Differential　Equations
储钟武
邱深山
刘明珠
Journal of Harbin Institute of Technology, 1996, (04) : 1 - 4
[34] On the convergence of Runge–Kutta methods for stiff non linear differential equations
M. Calvo
S. Gonzalez–Pinto
J.I. Montijano
Numerische Mathematik, 1998, 81 : 31 - 51
[35] EXPONENTIAL RUNGE-KUTTA METHODS FOR STIFF KINETIC EQUATIONS
Dimarco, Giacomo
Pareschi, Lorenzo
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 49 (05) : 2057 - 2077
[36] Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays
Yuan, Haiyan
Zhao, Jingjun
Xu, Yang
JOURNAL OF APPLIED MATHEMATICS, 2012,
[37] Convergence aspects of step-parallel iteration of Runge-Kutta methods for delay differential equations
Ding, XH
Liu, MZ
BIT NUMERICAL MATHEMATICS, 2002, 42 (03) : 508 - 518
[38] Convergence Aspects of Step-Parallel Iteration of Runge-Kutta Methods for Delay Differential Equations
Xiaohua Ding
Mingzhu Liu
BIT Numerical Mathematics, 2002, 42 (3) : 508 - 518
[39] The efficiency of Singly-implicit Runge-Kutta methods for stiff differential equations
Chen, D. J. L.
NUMERICAL ALGORITHMS, 2014, 65 (03) : 533 - 554
[40] STABILITY OF IMPLICIT RUNGE-KUTTA METHODS FOR NONLINEAR STIFF DIFFERENTIAL-EQUATIONS
SCHMITT, BA
BIT, 1988, 28 (04): : 884 - 897

← 1 2 3 4 5 →