Download Parallel Sparse Direct Solver for Integrated Circuit by Xiaoming Chen, Yu Wang, Huazhong Yang PDF

By Xiaoming Chen, Yu Wang, Huazhong Yang

This booklet describes algorithmic tools and parallelization thoughts to layout a parallel sparse direct solver that is in particular distinctive at built-in circuit simulation difficulties. The authors describe an entire circulation and certain parallel algorithms of the sparse direct solver. in addition they convey how one can increase the functionality by means of uncomplicated yet powerful numerical suggestions. The sparse direct solver concepts defined should be utilized to any SPICE-like built-in circuit simulator and feature been confirmed to be high-performance in genuine circuit simulation. Readers will enjoy the cutting-edge parallel built-in circuit simulation thoughts defined during this booklet, in particular the newest parallel sparse matrix answer techniques.

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Additional info for Parallel Sparse Direct Solver for Integrated Circuit Simulation

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Integr. Circuits Syst. 25(12), 2868–2881 (2006) 42. : A Performance-Guided graph sparsification approach to scalable and robust SPICE-Accurate integrated circuit simulations. IEEE Trans. -Aided Des. Integr. Circuits Syst. 34(10), 1639–1651 (2015) 43. : GPSCP: A General-Purpose Support-Circuit preconditioning approach to Large-Scale SPICE-Accurate nonlinear circuit simulations. In: 2012 IEEE/ACM International Conference on Computer-Aided Design (ICCAD), pp. 429–435 (2012) 44. : Towards efficient SPICE-Accurate nonlinear circuit simulation with Onthe-Fly Support-Circuit preconditioners.

There is no doubt that WavePipe has provided new insights to development of parallel time-domain simulation techniques, and the method can also be applied to other problems which need to solve differential equations. However, it can be expected that WavePipe requires find-grained inter-thread communications so the scalability will become poor when the number of threads increases. 2 Parallel Multi-Algorithm Simulation A completely different parallel time-domain simulation technique named multialgorithm simulation has been proposed in recent years [71–74].

The idea can also be extended for solving nonlinear equations by the concept of the multilevel Newton technique [54–57]. Multilevel Newton methods are actually algorithm-level methods but they are operated at the circuit level. The basic idea of multilevel Newton methods can be described as follows. Each subdomain is first solved separately using the Newton–Raphson method with a given boundary condition, and then the top-level nonlinear equation is solved by integrating the updated solutions from all the subdomains.

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