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Article: Time-domain analysis of large-scale circuits by matrix exponential method with adaptive control
Title | Time-domain analysis of large-scale circuits by matrix exponential method with adaptive control |
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Authors | |
Keywords | Adaptive Time Step Matrix Exponential Transient Simulation |
Issue Date | 2012 |
Publisher | IEEE. 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? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/174231 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.957 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Weng, SH | en_US |
dc.contributor.author | Chen, Q | en_US |
dc.contributor.author | Cheng, CK | en_US |
dc.date.accessioned | 2012-11-22T02:00:05Z | - |
dc.date.available | 2012-11-22T02:00:05Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2012, v. 31 n. 8, p. 1180-1193 | en_US |
dc.identifier.issn | 0278-0070 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/174231 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43 | - |
dc.relation.ispartof | IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems | en_US |
dc.subject | Adaptive Time Step | en_US |
dc.subject | Matrix Exponential | en_US |
dc.subject | Transient Simulation | en_US |
dc.title | Time-domain analysis of large-scale circuits by matrix exponential method with adaptive control | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chen, Q: q1chen@hku.hk | en_US |
dc.identifier.authority | Chen, Q=rp01688 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/TCAD.2012.2189396 | en_US |
dc.identifier.scopus | eid_2-s2.0-84864146512 | en_US |
dc.identifier.hkuros | 222537 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84864146512&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 31 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.spage | 1180 | en_US |
dc.identifier.epage | 1193 | en_US |
dc.identifier.isi | WOS:000306595100004 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Weng, SH=36104767300 | en_US |
dc.identifier.scopusauthorid | Chen, Q=18133382800 | en_US |
dc.identifier.scopusauthorid | Cheng, CK=7404797875 | en_US |
dc.identifier.issnl | 0278-0070 | - |