Interpolating Runge-Kutta methods for vanishing delay differential equations

W. H. Enright; M. Hu

doi:10.1007/bf02238433

Interpolating Runge-Kutta methods for vanishing delay differential equations

Computing ◽

10.1007/bf02238433 ◽

1995 ◽

Vol 55 (3) ◽

pp. 223-236 ◽

Cited By ~ 7

Author(s):

W. H. Enright ◽

M. Hu

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Vanishing Delay ◽

Delay Differential

Download Full-text

Stability analysis of exponential Runge–Kutta methods for delay differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2011.01.029 ◽

2011 ◽

Vol 24 (7) ◽

pp. 1089-1092 ◽

Cited By ~ 4

Author(s):

Y. Xu ◽

J.J. Zhao ◽

Z.N. Sui

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

Download Full-text

A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations

BIT Numerical Mathematics ◽

10.1007/bf01994847 ◽

1992 ◽

Vol 32 (4) ◽

pp. 634-649 ◽

Cited By ~ 67

Author(s):

K. J. In 't Hout

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Interpolation Procedure ◽

Runge Kutta ◽

Delay Differential

Download Full-text

On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(96)00035-9 ◽

1996 ◽

Vol 22 (1-3) ◽

pp. 237-250 ◽

Cited By ~ 11

Author(s):

K.J. in 't Hout

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

The Stability ◽

Delay Differential

Download Full-text

The Properties of Multistep Runge-Kutta Methods for Neutral Delay Differential Equations

Software Engineering and Algorithms - Lecture Notes in Networks and Systems ◽

10.1007/978-3-030-77442-4_57 ◽

2021 ◽

pp. 682-700

Author(s):

Kewei Zhang ◽

Haiyan Yuan

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

Download Full-text

ABSOLUTELY STABLE DELAY DIFFERENTIAL EQUATIONS AND NATURAL RUNGE-KUTTA METHODS

Numerical Analysis of Ordinary Differential Equations and Its Applications ◽

10.1142/9789812831033_0011 ◽

1995 ◽

pp. 165-177

Author(s):

Toshiyuki Koto

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

Download Full-text

Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.029 ◽

2019 ◽

Vol 348 ◽

pp. 314-327 ◽

Cited By ~ 1

Author(s):

Xiuxiu Xu ◽

Qiumei Huang

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Delay Differential Equations ◽

Vanishing Delay ◽

Delay Differential ◽

Nonlinear Delay

Download Full-text

Stability of IMEX Runge–Kutta methods for delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.11.011 ◽

2008 ◽

Vol 211 (2) ◽

pp. 201-212 ◽

Cited By ~ 15

Author(s):

Toshiyuki Koto

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

Download Full-text

Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations

Numerische Mathematik ◽

10.1007/s002110050300 ◽

1997 ◽

Vol 77 (4) ◽

pp. 549-563 ◽

Cited By ~ 41

Author(s):

M. Zennaro

Keyword(s):

Stability Analysis ◽

Nonlinear Systems ◽

Asymptotic Stability ◽

Differential Equations ◽

Delay Differential Equations ◽

Runge Kutta ◽

Delay Differential

Download Full-text

A Parallel Iteration of Runge-Kutta Method for Delay Differential Equations

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2010.11.s1.29 ◽

2010 ◽

Vol 11 (Supplement) ◽

Author(s):

De-Qiong Ding ◽

Xiao-Hua Ding

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta ◽

Parallel Iteration ◽

Delay Differential

Download Full-text

Stability of Runge-Kutta methods for linear delay differential equations

Numerische Mathematik ◽

10.1007/s002110000179 ◽

2000 ◽

Vol 87 (2) ◽

pp. 355-371 ◽

Cited By ~ 24

Author(s):

S. Maset

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Linear Delay ◽

Runge Kutta ◽

Delay Differential

Download Full-text