A parallel iteration of Runge-Kutta method for delay differential equations

De Qiong Ding; Xiao Hua Ding

doi:10.1515/ijnsns.2010.11.s1.29

A parallel iteration of Runge-Kutta method for delay differential equations

De Qiong Ding
, Xiao Hua Ding^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we construct a class of parallel Diagonal Implicit Runge-Kutta methods for the system of delay differential equations. The theoretical analysis and numerical test show that this algorithm is effect and comparable.

Original language	English
Pages (from-to)	29-32
Number of pages	4
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	11
DOIs	https://doi.org/10.1515/ijnsns.2010.11.s1.29
State	Published - 1 Dec 2010
Externally published	Yes

Keywords

Convergence
Delay differential equation
Parallel
Runge-Kutta methods
Stability

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10.1515/ijnsns.2010.11.s1.29

Cite this

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title = "A parallel iteration of Runge-Kutta method for delay differential equations",

abstract = "In this paper, we construct a class of parallel Diagonal Implicit Runge-Kutta methods for the system of delay differential equations. The theoretical analysis and numerical test show that this algorithm is effect and comparable.",

keywords = "Convergence, Delay differential equation, Parallel, Runge-Kutta methods, Stability",

author = "Ding, \{De Qiong\} and Ding, \{Xiao Hua\}",

note = "Publisher Copyright: {\textcopyright} Freund Publishing House Ltd.",

year = "2010",

month = dec,

day = "1",

doi = "10.1515/ijnsns.2010.11.s1.29",

language = "英语",

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T1 - A parallel iteration of Runge-Kutta method for delay differential equations

AU - Ding, De Qiong

AU - Ding, Xiao Hua

N1 - Publisher Copyright: © Freund Publishing House Ltd.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - In this paper, we construct a class of parallel Diagonal Implicit Runge-Kutta methods for the system of delay differential equations. The theoretical analysis and numerical test show that this algorithm is effect and comparable.

AB - In this paper, we construct a class of parallel Diagonal Implicit Runge-Kutta methods for the system of delay differential equations. The theoretical analysis and numerical test show that this algorithm is effect and comparable.

KW - Convergence

KW - Delay differential equation

KW - Parallel

KW - Runge-Kutta methods

KW - Stability

UR - https://www.scopus.com/pages/publications/84937428077

U2 - 10.1515/ijnsns.2010.11.s1.29

DO - 10.1515/ijnsns.2010.11.s1.29

M3 - 文章

AN - SCOPUS:84937428077

SN - 1565-1339

VL - 11

SP - 29

EP - 32

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

ER -

A parallel iteration of Runge-Kutta method for delay differential equations

Abstract

Keywords

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