Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Computer Methods for Circuit Analysis and Design
Computer Methods for Circuit Analysis and Design
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Model-reduction of nonlinear circuits using Krylov-space techniques
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Model reduction for DC solution of large nonlinear circuits
ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
Hybrid Reduction Technique for Efficient Simulation of Linear/Nonlinear Mixed Circuits
Proceedings of the conference on Design, automation and test in Europe - Volume 2
Comparing Synchronous and Asynchronous Variable Step Size Explicit ODE Solvers: A Simulation Study
Proceedings of the 21st International Workshop on Principles of Advanced and Distributed Simulation
Efficient nonlinear distortion analysis of RF circuits
Proceedings of the conference on Design, automation and test in Europe
Parallelizable stable explicit numerical integration for efficient circuit simulation
Proceedings of the 46th Annual Design Automation Conference
Final-value ODEs: stable numerical integration and its application to parallel circuit analysis
Proceedings of the 2009 International Conference on Computer-Aided Design
Parallel circuit simulation with adaptively controlled projective integration
ACM Transactions on Design Automation of Electronic Systems (TODAES)
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A new numerical integration method for the time domain simulation of nonlinear circuits is presented. The new method does not belong to the traditional class of linear multistep methods. Consequently it is free from Dahlquist's barriers in terms of stability and order. The new method is shown to be both A-stable and at the same time of arbitrarily high order. In addition, the method is explicit in nature and does not require matrix inversion at each time step. Examples of linear and nonlinear circuit simulation are included. The proposed method significantly speeds up the time domain simulation of nonlinear circuits as it combines the efficiency of an explicit method with the accuracy and large step size possible with high order.