GPmL-stability of the Rosenbrock methods for the systems of differential equations with many delays

This paper deals with the stability analysis of the Rosenbrock methods for the numerical solutions of the systems of differential equations with many delays.The GPmL-stability behavior of the Rosenbrock methods is analyzed for the solutions of linear test eq...

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Main Author:	LU Zhiwen
Format:	Article
Language:	English
Published:	Academic Journals Center of Shanghai Normal University 2014-04-01
Series:	Journal of Shanghai Normal University (Natural Sciences)
Subjects:	delay differential equation <i>GP<sub>m</sub>L</i>-stability Rosenbrock method
Online Access:	http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201402001&flag=1&year_id=2014&quarter_id=2

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record_format	Article
spelling	doaj-3b8b5405ea4c4c9e9e07c329e8e3c6802020-11-25T01:08:27ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372014-04-0143211111610.3969/J.ISSN.100-5137.2014.02.001201402001<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delaysLU Zhiwen0School of Science,University of Shanghai for Science and TechnologyThis paper deals with the stability analysis of the Rosenbrock methods for the numerical solutions of the systems of differential equations with many delays.The <i>GP<sub>m</sub>L</i>-stability behavior of the Rosenbrock methods is analyzed for the solutions of linear test equations.We show that the Rosenbrock methods are <i>GP<sub>m</sub>L</i>-stable if and only if they are <i>L</i>-stable.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201402001&flag=1&year_id=2014&quarter_id=2delay differential equation<i>GP<sub>m</sub>L</i>-stability Rosenbrock method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	LU Zhiwen
spellingShingle	LU Zhiwen <i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays Journal of Shanghai Normal University (Natural Sciences) delay differential equation <i>GP<sub>m</sub>L</i>-stability Rosenbrock method
author_facet	LU Zhiwen
author_sort	LU Zhiwen
title	<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
title_short	<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
title_full	<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
title_fullStr	<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
title_full_unstemmed	<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays
title_sort	<i>gp<sub>m</sub>l</i>-stability of the rosenbrock methods for the systems of differential equations with many delays
publisher	Academic Journals Center of Shanghai Normal University
series	Journal of Shanghai Normal University (Natural Sciences)
issn	1000-5137 1000-5137
publishDate	2014-04-01
description	This paper deals with the stability analysis of the Rosenbrock methods for the numerical solutions of the systems of differential equations with many delays.The <i>GP<sub>m</sub>L</i>-stability behavior of the Rosenbrock methods is analyzed for the solutions of linear test equations.We show that the Rosenbrock methods are <i>GP<sub>m</sub>L</i>-stable if and only if they are <i>L</i>-stable.
topic	delay differential equation <i>GP<sub>m</sub>L</i>-stability Rosenbrock method
url	http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201402001&flag=1&year_id=2014&quarter_id=2
work_keys_str_mv	AT luzhiwen igpsubmsublistabilityoftherosenbrockmethodsforthesystemsofdifferentialequationswithmanydelays
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<i>GP<sub>m</sub>L</i>-stability of the Rosenbrock methods for the systems of differential equations with many delays

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