On the generation of higher order numerical integration methods using lower order Adams-Bashforth and Adams-Moulton methods
| dc.citation.epage | 29 | en_US |
| dc.citation.issue | 1-2 | en_US |
| dc.citation.spage | 19 | en_US |
| dc.citation.volume | 108 | en_US |
| dc.citation.woscount | 1 | |
| dc.contributor.author | Chiou, JC | en_US |
| dc.contributor.author | Wu, SD | en_US |
| dc.contributor.department | 電控工程研究所 | zh_TW |
| dc.contributor.department | Institute of Electrical and Control Engineering | en_US |
| dc.date.accessioned | 2014-12-08T15:46:18Z | |
| dc.date.available | 2014-12-08T15:46:18Z | |
| dc.date.issued | 1999-08-15 | en_US |
| dc.description.abstract | In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex, combination of (m - 1)-step Adams-Moulton and m-step Adams-Bashforth methods with a fixed weighting coefficient. By examining the order of accuracy and stability regions, we conclude that the present method is superior to the traditional Adams-Bashforth-Moulton predictor-corrector method. A simple harmonic oscillator problem is used to demonstrate the efficiency of the proposed method. (C) 1999 Elsevier Science B.V. All rights reserved. | en_US |
| dc.identifier.issn | 0377-0427 | en_US |
| dc.identifier.journal | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/31155 | |
| dc.identifier.wosnumber | WOS:000081945900002 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Adams-Moulton and Adams-Bashforth numerical integrator | en_US |
| dc.subject | accuracy and stability analysis | en_US |
| dc.title | On the generation of higher order numerical integration methods using lower order Adams-Bashforth and Adams-Moulton methods | en_US |
| dc.type | Article | en_US |