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Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability

Most variable order, variable stepsize codes for solving ODEs vary the order along the interval of integration but keep the order constant across the system. However, some codes that do partitioning of the ODEs into stiff and nonstiff subsystems vary the order for each equation in the system. In thi...

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Main Authors: Suleiman, Mohamed, Baok, Saiman, Hall, George
Format: Article
Language:English
English
Published: Elsevier 1996
Online Access:http://psasir.upm.edu.my/id/eprint/42450/1/Varying%20the%20componentwise%20order%20of%20the%20multistep%20methods%20in%20solving%20ODEs%20and%20its%20absolute%20stability.pdf
http://psasir.upm.edu.my/id/eprint/42450/7/42450.pdf
http://psasir.upm.edu.my/id/eprint/42450/
http://www.sciencedirect.com/science/article/pii/0096300395000933
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spelling my.upm.eprints.424502024-09-03T07:40:01Z http://psasir.upm.edu.my/id/eprint/42450/ Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability Suleiman, Mohamed Baok, Saiman Hall, George Most variable order, variable stepsize codes for solving ODEs vary the order along the interval of integration but keep the order constant across the system. However, some codes that do partitioning of the ODEs into stiff and nonstiff subsystems vary the order for each equation in the system. In this paper, the reasons for varying the order componentwise are given and some of its salient features are illustrated using a numerical example. Also given is the direct proof of the existence of a region of absolute stability when different order Adams explicit methods are used to solve a system of ODEs. Elsevier 1996-02 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/42450/1/Varying%20the%20componentwise%20order%20of%20the%20multistep%20methods%20in%20solving%20ODEs%20and%20its%20absolute%20stability.pdf text en http://psasir.upm.edu.my/id/eprint/42450/7/42450.pdf Suleiman, Mohamed and Baok, Saiman and Hall, George (1996) Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability. Applied Mathematics and Computation, 74 (2-3). pp. 209-222. ISSN 0096-3003; ESSN: 1873-5649 http://www.sciencedirect.com/science/article/pii/0096300395000933 10.1016/0096-3003(95)00093-3
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description Most variable order, variable stepsize codes for solving ODEs vary the order along the interval of integration but keep the order constant across the system. However, some codes that do partitioning of the ODEs into stiff and nonstiff subsystems vary the order for each equation in the system. In this paper, the reasons for varying the order componentwise are given and some of its salient features are illustrated using a numerical example. Also given is the direct proof of the existence of a region of absolute stability when different order Adams explicit methods are used to solve a system of ODEs.
format Article
author Suleiman, Mohamed
Baok, Saiman
Hall, George
spellingShingle Suleiman, Mohamed
Baok, Saiman
Hall, George
Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
author_facet Suleiman, Mohamed
Baok, Saiman
Hall, George
author_sort Suleiman, Mohamed
title Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
title_short Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
title_full Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
title_fullStr Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
title_full_unstemmed Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
title_sort varying the componentwise order of the multistep methods in solving odes and its absolute stability
publisher Elsevier
publishDate 1996
url http://psasir.upm.edu.my/id/eprint/42450/1/Varying%20the%20componentwise%20order%20of%20the%20multistep%20methods%20in%20solving%20ODEs%20and%20its%20absolute%20stability.pdf
http://psasir.upm.edu.my/id/eprint/42450/7/42450.pdf
http://psasir.upm.edu.my/id/eprint/42450/
http://www.sciencedirect.com/science/article/pii/0096300395000933
_version_ 1811685911240376320
score 13.244368

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