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- Publisher Website: 10.1016/j.compstruc.2008.11.004
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Article: On the precise integration methods based on Padé approximations
Title | On the precise integration methods based on Padé approximations |
---|---|
Authors | |
Keywords | Generalized Padé approximation Matrix exponential function Numerical integration Numerical stability Structural dynamics Unconditional stability |
Issue Date | 2009 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc |
Citation | Computers And Structures, 2009, v. 87 n. 5-6, p. 380-390 How to Cite? |
Abstract | The precise time step integration method proposed for linear time-invariant homogeneous dynamic systems can give precise numerical results approaching exact solutions at the integration points, but it is conditionally stable. By combining Padé approximation and the generalized Padé approximation of the matrix exponential function in precise integration, and by using three different types of quadrature formulae, a new generalized family of precise time step integration methods is developed to achieve unconditional stability and arbitrary order of accuracy. Numerical studies indicate that they are unconditionally stable algorithms with controllable numerical dissipation. They also demonstrate the validity and efficiency of these algorithms. © 2008 Elsevier Ltd. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/58506 |
ISSN | 2023 Impact Factor: 4.4 2023 SCImago Journal Rankings: 1.274 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wang, MF | en_HK |
dc.contributor.author | Au, FTK | en_HK |
dc.date.accessioned | 2010-05-31T03:31:37Z | - |
dc.date.available | 2010-05-31T03:31:37Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | Computers And Structures, 2009, v. 87 n. 5-6, p. 380-390 | en_HK |
dc.identifier.issn | 0045-7949 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/58506 | - |
dc.description.abstract | The precise time step integration method proposed for linear time-invariant homogeneous dynamic systems can give precise numerical results approaching exact solutions at the integration points, but it is conditionally stable. By combining Padé approximation and the generalized Padé approximation of the matrix exponential function in precise integration, and by using three different types of quadrature formulae, a new generalized family of precise time step integration methods is developed to achieve unconditional stability and arbitrary order of accuracy. Numerical studies indicate that they are unconditionally stable algorithms with controllable numerical dissipation. They also demonstrate the validity and efficiency of these algorithms. © 2008 Elsevier Ltd. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc | en_HK |
dc.relation.ispartof | Computers and Structures | en_HK |
dc.subject | Generalized Padé approximation | en_HK |
dc.subject | Matrix exponential function | en_HK |
dc.subject | Numerical integration | en_HK |
dc.subject | Numerical stability | en_HK |
dc.subject | Structural dynamics | en_HK |
dc.subject | Unconditional stability | en_HK |
dc.title | On the precise integration methods based on Padé approximations | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949 0366-7138&volume=87&issue=5-6&spage=380&epage=390&date=2009&atitle=On+the+precise+integration+methods+based+on+Pade+approximations | en_HK |
dc.identifier.email | Au, FTK:francis.au@hku.hk | en_HK |
dc.identifier.authority | Au, FTK=rp00083 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.compstruc.2008.11.004 | en_HK |
dc.identifier.scopus | eid_2-s2.0-59849124991 | en_HK |
dc.identifier.hkuros | 158980 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-59849124991&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 87 | en_HK |
dc.identifier.issue | 5-6 | en_HK |
dc.identifier.spage | 380 | en_HK |
dc.identifier.epage | 390 | en_HK |
dc.identifier.isi | WOS:000264325500009 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Wang, MF=7407801843 | en_HK |
dc.identifier.scopusauthorid | Au, FTK=7005204072 | en_HK |
dc.identifier.issnl | 0045-7949 | - |