Accelerated waveform methods for parallel transient simulation of semiconductor devices
ICCAD '93 Proceedings of the 1993 IEEE/ACM international conference on Computer-aided design
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
The Designer's Guide to Spice and Spectre
The Designer's Guide to Spice and Spectre
Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
SIAM Journal on Scientific Computing
Telescopic projective methods for parabolic differential equations
Journal of Computational Physics
Parallel Transient Analysis for Circuit Simulation
HICSS '96 Proceedings of the 29th Hawaii International Conference on System Sciences Volume 1: Software Technology and Architecture
Proceedings of the 45th annual Design Automation Conference
MAPS: multi-algorithm parallel circuit simulation
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
SRAM dynamic stability: theory, variability and analysis
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
Parallel transistor level circuit simulation using domain decomposition methods
Proceedings of the 2009 Asia and South Pacific Design Automation Conference
Parallelizable stable explicit numerical integration for efficient circuit simulation
Proceedings of the 46th Annual Design Automation Conference
Proceedings of the 47th Design Automation Conference
Multicore parallelization of min-cost flow for CAD applications
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems - Special section on the ACM IEEE international conference on formal methods and models for codesign (MEMOCODE) 2009
Parallel circuit simulation with adaptively controlled projective integration
ACM Transactions on Design Automation of Electronic Systems (TODAES)
| Hi-index | 0.00 |
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.