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Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs

In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems a...

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Main Authors: Ismail, Fudziah, Suleiman, Mohamed
Format: Article
Language:English
Published: Overseas Publishers Association 1998
Online Access:http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/51176/
http://www.tandfonline.com/doi/abs/10.1080/00207169808804644
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spelling my.upm.eprints.511762017-05-02T07:59:13Z http://psasir.upm.edu.my/id/eprint/51176/ Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs Ismail, Fudziah Suleiman, Mohamed In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems are solved using Rabeh's third order three-stage embedded in fourth order four-stage SDIRK method. Also presented are the stability regions of the methods. Overseas Publishers Association 1998 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf Ismail, Fudziah and Suleiman, Mohamed (1998) Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs. International Journal of Computer Mathematics, 66 (3-4). pp. 325-341. ISSN 0020-7160 http://www.tandfonline.com/doi/abs/10.1080/00207169808804644 10.1080/00207169808804644
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
description In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems are solved using Rabeh's third order three-stage embedded in fourth order four-stage SDIRK method. Also presented are the stability regions of the methods.
format Article
author Ismail, Fudziah
Suleiman, Mohamed
spellingShingle Ismail, Fudziah
Suleiman, Mohamed
Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
author_facet Ismail, Fudziah
Suleiman, Mohamed
author_sort Ismail, Fudziah
title Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
title_short Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
title_full Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
title_fullStr Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
title_full_unstemmed Embedded singly diagonally implicit Runge-Kutta methods (4,5) in (5,6). For the integration of stiff systems of ODEs
title_sort embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes
publisher Overseas Publishers Association
publishDate 1998
url http://psasir.upm.edu.my/id/eprint/51176/1/Embedded%20singly%20diagonally%20implicit%20Runge-Kutta%20methods%20%284%2C5%29%20in%20%285%2C6%29.%20For%20the%20integration%20of%20stiff%20systems%20of%20ODEs.pdf
http://psasir.upm.edu.my/id/eprint/51176/
http://www.tandfonline.com/doi/abs/10.1080/00207169808804644
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score 13.159267

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