Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments

W. J. Lv; Z. W. Yang; M. Z. Liu

doi:10.1016/j.amc.2006.07.158

Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments

W. J. Lv
, Z. W. Yang
, M. Z. Liu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

16 Scopus citations

Abstract

This paper deals with the stability analysis of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments u^′ (t) = au (t) + ∑_{i = 0}^N a_i u⁽ⁱ⁾ ([t]). The stability regions of the Euler-Maclaurin methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given.

Original language	English
Pages (from-to)	1480-1487
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.07.158
State	Published - 15 Mar 2007

Keywords

Asymptotic stability
Delay differential equation
Numerical asymptotic stability
Piecewise continuous arguments

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10.1016/j.amc.2006.07.158

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title = "Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments",

abstract = "This paper deals with the stability analysis of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments u′ (t) = au (t) + ∑i = 0N ai u(i) ([t]). The stability regions of the Euler-Maclaurin methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given.",

keywords = "Asymptotic stability, Delay differential equation, Numerical asymptotic stability, Piecewise continuous arguments",

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AU - Lv, W. J.

AU - Yang, Z. W.

AU - Liu, M. Z.

PY - 2007/3/15

Y1 - 2007/3/15

N2 - This paper deals with the stability analysis of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments u′ (t) = au (t) + ∑i = 0N ai u(i) ([t]). The stability regions of the Euler-Maclaurin methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given.

AB - This paper deals with the stability analysis of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments u′ (t) = au (t) + ∑i = 0N ai u(i) ([t]). The stability regions of the Euler-Maclaurin methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given.

KW - Asymptotic stability

KW - Delay differential equation

KW - Numerical asymptotic stability

KW - Piecewise continuous arguments

UR - https://www.scopus.com/pages/publications/33947690271

U2 - 10.1016/j.amc.2006.07.158

DO - 10.1016/j.amc.2006.07.158

M3 - 文章

AN - SCOPUS:33947690271

SN - 0096-3003

VL - 186

SP - 1480

EP - 1487

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Stability of the Euler-Maclaurin methods for neutral differential equations with piecewise continuous arguments

Abstract

Keywords

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