Approximation Theory and Numerical Methods for Delay Differential Equations

Delay Equations, Approximation and Application ◽

10.1007/978-3-0348-7376-5_1 ◽

1985 ◽

pp. 13-40 ◽

Author(s):

Günter Meinardus ◽

Günther Nürnberger

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Approximation Theory ◽

Delay Differential Equations ◽

Delay Differential

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How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00473-8 ◽

2000 ◽

Vol 125 (1-2) ◽

pp. 277-285 ◽

Author(s):

Neville J. Ford ◽

Volker Wulf

Keyword(s):

Hopf Bifurcation ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Delay-dependent stability analysis of numerical methods for stochastic delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.03.003 ◽

2012 ◽

Vol 236 (14) ◽

pp. 3514-3527 ◽

Author(s):

Chengming Huang ◽

Siqing Gan ◽

Desheng Wang

Keyword(s):

Stability Analysis ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Numerical Methods for Delay Differential Equations

10.1093/acprof:oso/9780198506546.001.0001 ◽

2003 ◽

Author(s):

Alfredo Bellen ◽

Marino Zennaro

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996302049 ◽

1998 ◽

Vol 35 (2) ◽

pp. 572-585 ◽

Author(s):

W. H. Enright ◽

H. Hayashi

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Convergence Analysis ◽

Delay Differential Equations ◽

Neutral Delay ◽

Neutral Delay Differential Equations ◽

Delay Differential

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Numerical methods for nonlinear stochastic delay differential equations with jumps

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.174 ◽

2014 ◽

Vol 233 ◽

pp. 222-231

Author(s):

Guihua Zhao ◽

Mingzhu Liu

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential

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Stability of numerical methods for delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(89)90071-x ◽

1989 ◽

Vol 25 (1) ◽

pp. 15-26 ◽

Author(s):

Lucio Torelli

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Book Review: Numerical Methods for Delay Differential Equations. by Alfredo Bellen and Marino Zennaro

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200490015 ◽

2004 ◽

Vol 84 (6) ◽

pp. 432-432

Author(s):

E. Hairer

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.11.046 ◽

2007 ◽

Vol 188 (2) ◽

pp. 1816-1831 ◽

Author(s):

Mohan K. Kadalbajoo ◽

V.P. Ramesh

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Adaptation Strategy ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Grid Adaptation ◽

Delay Differential

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Analytical and numerical methods for the stability analysis of linear fractional delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.03.010 ◽

2012 ◽

Vol 236 (16) ◽

pp. 4027-4041 ◽

Author(s):

Eva Kaslik ◽

Seenith Sivasundaram

Keyword(s):

Stability Analysis ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Fractional Delay ◽

The Stability ◽

Delay Differential ◽

Fractional Delay Differential Equations

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Stability properties of numerical methods for solving delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(84)90071-2 ◽

1984 ◽

Vol 10 (1) ◽

pp. 71-79 ◽

Author(s):

A.N. Al-Mutib

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Stability Properties ◽

Delay Differential

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