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Article: Time-domain analysis of large-scale circuits by matrix exponential method with adaptive control

TitleTime-domain analysis of large-scale circuits by matrix exponential method with adaptive control
Authors
KeywordsAdaptive Time Step
Matrix Exponential
Transient Simulation
Issue Date2012
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43
Citation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 8, p. 1180-1193 How to Cite?
AbstractWe propose an explicit numerical integration method based on matrix exponential operator for transient analysis of large-scale circuits. Solving the differential equation analytically, the limiting factor of maximum time step changes largely from the stability and Taylor truncation error to the error in computing the matrix exponential operator. We utilize Krylov subspace projection to reduce the computation complexity of matrix exponential operator. We also devise a prediction-correction scheme tailored for the matrix exponential approach to dynamically adjust the step size and the order of Krylov subspace approximation. Numerical experiments show the advantages of the proposed method compared with the implicit trapezoidal method. © 1982-2012 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/174231
ISSN
2015 Impact Factor: 1.181
2015 SCImago Journal Rankings: 0.710
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWeng, SHen_US
dc.contributor.authorChen, Qen_US
dc.contributor.authorCheng, CKen_US
dc.date.accessioned2012-11-22T02:00:05Z-
dc.date.available2012-11-22T02:00:05Z-
dc.date.issued2012en_US
dc.identifier.citationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 8, p. 1180-1193en_US
dc.identifier.issn0278-0070en_US
dc.identifier.urihttp://hdl.handle.net/10722/174231-
dc.description.abstractWe propose an explicit numerical integration method based on matrix exponential operator for transient analysis of large-scale circuits. Solving the differential equation analytically, the limiting factor of maximum time step changes largely from the stability and Taylor truncation error to the error in computing the matrix exponential operator. We utilize Krylov subspace projection to reduce the computation complexity of matrix exponential operator. We also devise a prediction-correction scheme tailored for the matrix exponential approach to dynamically adjust the step size and the order of Krylov subspace approximation. Numerical experiments show the advantages of the proposed method compared with the implicit trapezoidal method. © 1982-2012 IEEE.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43-
dc.relation.ispartofIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systemsen_US
dc.rightsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 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.subjectAdaptive Time Stepen_US
dc.subjectMatrix Exponentialen_US
dc.subjectTransient Simulationen_US
dc.titleTime-domain analysis of large-scale circuits by matrix exponential method with adaptive controlen_US
dc.typeArticleen_US
dc.identifier.emailChen, Q: q1chen@hku.hken_US
dc.identifier.authorityChen, Q=rp01688en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1109/TCAD.2012.2189396en_US
dc.identifier.scopuseid_2-s2.0-84864146512en_US
dc.identifier.hkuros222537-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84864146512&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume31en_US
dc.identifier.issue8en_US
dc.identifier.spage1180en_US
dc.identifier.epage1193en_US
dc.identifier.isiWOS:000306595100004-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridWeng, SH=36104767300en_US
dc.identifier.scopusauthoridChen, Q=18133382800en_US
dc.identifier.scopusauthoridCheng, CK=7404797875en_US

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