@inproceedings{a573e29c075341aab94d32712179ba3a,
title = "Mono-implicit Runge Kutta schemes for singularly perturbed delay differential equations",
abstract = "In this paper, we adapt Mono-Implicit Runge-Kutta schemes for numerical approximations of singularly perturbed delay differential equations. The schemes are developed to reduce the computational cost of the fully implicit method which combine the accuracy of implicit method and efficient implementation. Numerical stability properties of the schemes are investigated. Numerical simulations are provided to show the effectiveness of the method for both stiff and non-stiff initial value problems.",
keywords = "Mono-implicit RK methods, Singularly perturbed problems, Stability, Stiffness, Time-lags",
author = "Rihan, {Fathalla A.} and Al-Salti, {Nasser S.}",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; 2017 International Conference on Mathematical Methods and Computational Techniques in Science and Engineering, MMCTSE 2017 ; Conference date: 24-02-2017 Through 26-02-2017",
year = "2017",
month = sep,
day = "6",
doi = "10.1063/1.4996658",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Nikos Bardis",
booktitle = "Mathematical Methods and Computational Techniques in Science and Engineering",
}