On the stability of diagonally implicit 2-point block backward differentiation formulae
In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of...
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AIP Publishing LLC
2013
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my.upm.eprints.571822017-09-08T09:41:35Z http://psasir.upm.edu.my/id/eprint/57182/ On the stability of diagonally implicit 2-point block backward differentiation formulae Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF). AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Suleiman, Mohamed (2013) On the stability of diagonally implicit 2-point block backward differentiation formulae. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 315-319). 10.1063/1.4823927 |
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In this work, the zero-stability properties of diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) are presented. The stability region is illustrated to prove the A-stable behavior. Some numerical stiff problems are provided to test the performance of the method in terms of accuracy. Numerical results are compared with the fully implicit 2-point block backward differentiation formulas (FI2BBDF). |
format |
Conference or Workshop Item |
author |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
spellingShingle |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed On the stability of diagonally implicit 2-point block backward differentiation formulae |
author_facet |
Mohd Zawawi, Iskandar Shah Ibrahim, Zarina Bibi Suleiman, Mohamed |
author_sort |
Mohd Zawawi, Iskandar Shah |
title |
On the stability of diagonally implicit 2-point block backward differentiation formulae |
title_short |
On the stability of diagonally implicit 2-point block backward differentiation formulae |
title_full |
On the stability of diagonally implicit 2-point block backward differentiation formulae |
title_fullStr |
On the stability of diagonally implicit 2-point block backward differentiation formulae |
title_full_unstemmed |
On the stability of diagonally implicit 2-point block backward differentiation formulae |
title_sort |
on the stability of diagonally implicit 2-point block backward differentiation formulae |
publisher |
AIP Publishing LLC |
publishDate |
2013 |
url |
http://psasir.upm.edu.my/id/eprint/57182/1/On%20the%20stability%20of%20diagonally%20implicit%202-point%20block%20backward%20differentiation%20formulae.pdf http://psasir.upm.edu.my/id/eprint/57182/ |
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1643836409616793600 |
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13.211869 |