NDLI: Final-value ODEs: Stable numerical integration and its application to parallel circuit analysis

Content Provider	IEEE Xplore Digital Library
Author	Wei Dong Peng Li
Copyright Year	2009
Description	Author affiliation: Department of ECE, Texas A&M University, College Station, TX 77843 (Peng Li) \|\| High Performance Analog, Texas Instruments, Dallas, TX 75243 (Wei Dong)
Abstract	While solving initial-value ODEs is the de facto approach to time-domain circuit simulation, the opposite act, solving final-value ODEs, has been neglected for a long time. Stable numerical integration of initial-value ODEs involves significant complications; the application of standard integration methods simply leads to instability. We show that not only practically meaningful applications of final-value ODE problems exist, but also the inherent stability challenges may be addressed by recently proposed numerical methods. Furthermore, we demonstrate an elegant bi-directional parallel circuit simulation scheme, where one time-domain simulation task is sped up by simultaneously solving initial and final-value ODEs, one from each end of the time axis. The proposed approach has unique and favorable properties: the solutions of the two ODE problems are completely data independent with built-in automatic load balancing. As a specific application study, we demonstrate the proposed technique under the contexts of parallel digital timing simulation and the shooting-Newton based steady-state analysis. Categories and Subject Descriptors B.7.2 [Integrated Circuits]: Design Aids-simulation General Terms Algorithms, Design, Performance
Starting Page	403
Ending Page	409
File Size	3797051
Page Count	7
File Format	PDF
ISBN	9781605588001
ISSN	10923152
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-11-02
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Association for Computing Machinery, Inc. (ACM)
Subject Keyword	Circuit analysis Circuit simulation Time domain analysis Circuit stability Bidirectional control Load management Timing Analytical models Context modeling Steady-state Shooting-Newton Method Parallel Circuit Simulation Final-value ODE Problem Transient Simulation
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Computer Science Applications Software

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