Exponential Runge-Kutta methods for delay differential equations

Y. Xu; J. J. Zhao; Z. N. Sui

doi:10.1016/j.matcom.2010.05.016

Exponential Runge-Kutta methods for delay differential equations

Y. Xu
, J. J. Zhao
, Z. N. Sui

School of Mathematics

Harbin Institute of Technology

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

6 Scopus citations

Abstract

This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.

Original language	English
Pages (from-to)	2350-2361
Number of pages	12
Journal	Mathematics and Computers in Simulation
Volume	80
Issue number	12
DOIs	https://doi.org/10.1016/j.matcom.2010.05.016
State	Published - Aug 2010

Keywords

Convergence
Delay
Runge-Kutta methods
Stability

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10.1016/j.matcom.2010.05.016

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title = "Exponential Runge-Kutta methods for delay differential equations",

abstract = "This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.",

keywords = "Convergence, Delay, Runge-Kutta methods, Stability",

author = "Y. Xu and Zhao, \{J. J.\} and Sui, \{Z. N.\}",

year = "2010",

month = aug,

doi = "10.1016/j.matcom.2010.05.016",

language = "英语",

volume = "80",

pages = "2350--2361",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Exponential Runge-Kutta methods for delay differential equations

AU - Xu, Y.

AU - Zhao, J. J.

AU - Sui, Z. N.

PY - 2010/8

Y1 - 2010/8

N2 - This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.

AB - This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.

KW - Convergence

KW - Delay

KW - Runge-Kutta methods

KW - Stability

UR - https://www.scopus.com/pages/publications/77955430293

U2 - 10.1016/j.matcom.2010.05.016

DO - 10.1016/j.matcom.2010.05.016

M3 - 文章

AN - SCOPUS:77955430293

SN - 0378-4754

VL - 80

SP - 2350

EP - 2361

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 12

ER -

Exponential Runge-Kutta methods for delay differential equations

Abstract

Keywords

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