A. Lumsdaine, M. W. Reichelt, J. M. Squyres, and J. K. White, Accelerated waveform methods for parallel transient simulation of semiconductor devices, IEEE Trans. CAD, (1996). Home/Search Document Details and Download
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An Efficient Accelerated Waveform Method for Parallel.. - Tianruo Yang (Correct)
....vector updates, and matrix vector products. In many situations, especially when matrix operations are well structured, these operations are suitable for implementation on vector and share memory parallel computers [6] But for parallel distributed memory machines, although Reichelt et al. [16] have successfully avoid by using waveform relaxation method accelerated by waveform GMRES technique instead of pointwise Newton GMRES, they still can not avoid the global communication required for inner product during waveform GMRES technique. The performance of their approach on this kind of ....
....as follows. We mainly consider the problem of numerically solving the linear initial value problem: d dt x(t) Ax(t) b(t) x(0) x 0 ; 2) where A 2 R n Thetan , b(t) 2 R n is given for all t 2 [0; T ] and x(t) 2 R n is to be computed. Detailed descriptions about CSOR are presented in [16]. In generally, in iteration k 1, each waveform x k 1 i is computed as in ordinary Gauss Seidel WR, and then is moved slightly in iteration direction by convolution with CSOR parameter, namely function (t) The convolution allows the CSOR method to correctly account for the ....
[Article contains additional citation context not shown here]
M. W. Reichelt, A. Lumsdaine, and J. K. White. Accelerated waveform methods for parallel transient simulation of semiconductor devices. In Proceedings of the International Conference on Computer-Aided Design, pages 270--274, 1993.
The Waveform IQMR Accelerated Technique for Parallel Transient.. - Yang (Correct)
.... interval [15] 20] 28] As with any iterative schemes, efficiency of the waveform relaxation depends on rapid convergence, and there are several approaches to accelerated waveform relaxations, including multigrid [16] Krylov subspace [17] 18] and convolution SOR techniques [21] 22] In [23], they mainly focus on one method, namely waveform GMRES (WGMRES) an extension of the generalized minimum residual algorithm (GMRES) 24] of the Krylov subspace methods to accelerate the convergence of waveform relaxation algorithms. The GMRES method yields an optimal reduction of the residual ....
....as follows. We mainly consider the problem of numerically solving the linear initial value problem: d dt x(t) Ax(t) b(t) x(0) x 0 ; 2) where A 2 n Thetan , b(t) 2 n is given for all t 2 [0; T ] and x(t) 2 n is to be computed. Detailed descriptions about CSOR are presented in [23]. In generally, in iteration k 1, each waveform x k 1 i is computed as in ordinary Gauss Seidel WR, and then is moved slightly in iteration direction by convolution with CSOR parameter, namely function (t) The convolution allows the CSOR method to correctly account for the ....
[Article contains additional citation context not shown here]
M. W. Reichelt, A. Lumsdaine, and J. K. White. Accelerated waveform methods for parallel transient simulation of semiconductor devices. In Proceedings of the International Conference on Computer-Aided Design, pages 270--274, 1993.
Krylov Subspace Acceleration Of Waveform Relaxation - Lumsdaine, Wu (1996) Self-citation (Lumsdaine) (Correct)
.... iteration was reintroduced (with the name waveform relaxation ) as an e#cient method for solving the large sparsely coupled di#erential equation systems generated by simulation of integrated circuits [13, 38] Since then this method has been extended and applied to various other application areas [17, 21, 34]. Waveform relaxation continues to attract interest because of its natural medium scale parallelism. With the waveform approach, a dynamic system of equations is first decomposed spatially (i.e. at the equation level) Individual equations, or sets of equations taken together, are then solved ....
A. Lumsdaine, M. W. Reichelt, J. M. Squyres, and J. K. White, Accelerated waveform methods for parallel transient simulation of semiconductor devices, IEEE Trans. CAD, (1996).
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