Overview on solving stiff problems using one-step methods

Stiff problems in ordinary differential equations can now be solved more routinely. In the past four decades, many researchers were interested in finding effective stiff solution methods. This dissertation is intended for the readers who are interested in solving stiff problems with one-step methods...

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Main Author:	Tey, Kai Wean
Format:	Thesis
Language:	English
Published:	2001
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/6676/1/TeyKaiWeanMFS2001.PDF
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id	my-utm-ep.6676
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spelling	my-utm-ep.66762018-09-27T04:03:38Z Overview on solving stiff problems using one-step methods 2001-10 Tey, Kai Wean QA Mathematics Stiff problems in ordinary differential equations can now be solved more routinely. In the past four decades, many researchers were interested in finding effective stiff solution methods. This dissertation is intended for the readers who are interested in solving stiff problems with one-step methods. The focus is on one-step methods, more particularly to implicit Runge-Kutta methods and a recent explicit one-step method. This review explains what stiff differential equations are and what are the requirements for the stiff solution methods. The development of one-step methods in solving stiff problems is outlined. The advantages and disadvantages of each method are also presented. Further, practical implementation of implicit Runge- Kutta methods and the development of one-step methods are discussed briefly. Finally, the dissertation is concluded by presenting a summary of historical reviews of one-step methods in solving stiff problems and some suggestions for future research in this area. 2001-10 Thesis http://eprints.utm.my/id/eprint/6676/ http://eprints.utm.my/id/eprint/6676/1/TeyKaiWeanMFS2001.PDF application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:62376 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Tey, Kai Wean Overview on solving stiff problems using one-step methods
description	Stiff problems in ordinary differential equations can now be solved more routinely. In the past four decades, many researchers were interested in finding effective stiff solution methods. This dissertation is intended for the readers who are interested in solving stiff problems with one-step methods. The focus is on one-step methods, more particularly to implicit Runge-Kutta methods and a recent explicit one-step method. This review explains what stiff differential equations are and what are the requirements for the stiff solution methods. The development of one-step methods in solving stiff problems is outlined. The advantages and disadvantages of each method are also presented. Further, practical implementation of implicit Runge- Kutta methods and the development of one-step methods are discussed briefly. Finally, the dissertation is concluded by presenting a summary of historical reviews of one-step methods in solving stiff problems and some suggestions for future research in this area.
format	Thesis
qualification_level	Master's degree
author	Tey, Kai Wean
author_facet	Tey, Kai Wean
author_sort	Tey, Kai Wean
title	Overview on solving stiff problems using one-step methods
title_short	Overview on solving stiff problems using one-step methods
title_full	Overview on solving stiff problems using one-step methods
title_fullStr	Overview on solving stiff problems using one-step methods
title_full_unstemmed	Overview on solving stiff problems using one-step methods
title_sort	overview on solving stiff problems using one-step methods
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2001
url	http://eprints.utm.my/id/eprint/6676/1/TeyKaiWeanMFS2001.PDF
_version_	1747814686150098944

Overview on solving stiff problems using one-step methods

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