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Conference Paper: Globally stable, highly parallelizable fast transient circuit simulation via faber series

TitleGlobally stable, highly parallelizable fast transient circuit simulation via faber series
Authors
KeywordsFast transients
Global stability
Krylov subspace method
Matrix exponentials
Memory storage
Stiff systems
Time constants
Time-domain circuits
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001283
Citation
The IEEE 10th International New Circuits and Systems Conference (NEWCAS 2012), Montreal, QC., 17-20 June 2012. In Conference Proceedings, 2012, p. 177-180 How to Cite?
AbstractTime-domain circuit simulation based on matrix exponential has attracted renewed interested, owing to its explicit nature and global stability that enable millionth-order circuit simulation. The matrix exponential is commonly computed by Krylov subspace methods, which become inefficient when the circuit is stiff, namely, when the time constants of the circuit differ by several orders. In this paper, we utilize the truncated Faber Series for accurate evaluation of the matrix exponential even under a highly stiff system matrix arising from practical circuits. Experiments have shown that the proposed approach is globally stable, highly accurate and parallelizable, and avoids excessive memory storage demanded by Krylov subspace methods. © 2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/174256
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorLi, YCen_US
dc.contributor.authorChen, Qen_US
dc.contributor.authorWeng, SHen_US
dc.contributor.authorCheng, CKen_US
dc.contributor.authorWong, Nen_US
dc.date.accessioned2012-11-22T02:03:01Z-
dc.date.available2012-11-22T02:03:01Z-
dc.date.issued2012en_US
dc.identifier.citationThe IEEE 10th International New Circuits and Systems Conference (NEWCAS 2012), Montreal, QC., 17-20 June 2012. In Conference Proceedings, 2012, p. 177-180en_US
dc.identifier.isbn978-1-4673-0859-5-
dc.identifier.urihttp://hdl.handle.net/10722/174256-
dc.description.abstractTime-domain circuit simulation based on matrix exponential has attracted renewed interested, owing to its explicit nature and global stability that enable millionth-order circuit simulation. The matrix exponential is commonly computed by Krylov subspace methods, which become inefficient when the circuit is stiff, namely, when the time constants of the circuit differ by several orders. In this paper, we utilize the truncated Faber Series for accurate evaluation of the matrix exponential even under a highly stiff system matrix arising from practical circuits. Experiments have shown that the proposed approach is globally stable, highly accurate and parallelizable, and avoids excessive memory storage demanded by Krylov subspace methods. © 2012 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001283-
dc.relation.ispartofAnnual IEEE Northeast Workshop on Circuits and Systems (NEWCAS) Proceedingsen_US
dc.rightsAnnual IEEE Northeast Workshop on Circuits and Systems (NEWCAS) Proceedings. Copyright © IEEE.-
dc.rights©2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectFast transients-
dc.subjectGlobal stability-
dc.subjectKrylov subspace method-
dc.subjectMatrix exponentials-
dc.subjectMemory storage-
dc.subjectStiff systems-
dc.subjectTime constants-
dc.subjectTime-domain circuits-
dc.titleGlobally stable, highly parallelizable fast transient circuit simulation via faber seriesen_US
dc.typeConference_Paperen_US
dc.identifier.emailChen, Q: q1chen@hku.hken_US
dc.identifier.emailWong, N: nwong@eee.hku.hk-
dc.identifier.authorityChen, Q=rp01688en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1109/NEWCAS.2012.6328985en_US
dc.identifier.scopuseid_2-s2.0-84868299216en_US
dc.identifier.hkuros222402-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84868299216&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage177en_US
dc.identifier.epage180en_US
dc.publisher.placeUnited States-
dc.identifier.scopusauthoridWong, N=7202836604en_US
dc.identifier.scopusauthoridCheng, CK=7404797875en_US
dc.identifier.scopusauthoridWeng, SH=36104767300en_US
dc.identifier.scopusauthoridChen, Q=18133382800en_US
dc.identifier.scopusauthoridLi, YC=53364073700en_US
dc.customcontrol.immutablesml 131030-

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