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CONNECTING WAVEFORM RELAXATION CONVERGENCE PROPERTIES TO THE A STABILITY OF MULTIRATE INTEGRATION METHODS

CONNECTING WAVEFORM RELAXATION CONVERGENCE PROPERTIES TO THE A STABILITY OF MULTIRATE INTEGRATION... Application of the waveform relaxation algorithm to the differentialalgebraic equations generated by problems in circuit and semiconductor device simulation have demonstrated that the method often contracts uniformly in time. In addition, instabilities in the underlying multirate integration method have not been observed. In this paper, it is proved that multirate Astability and waveform relaxation uniform contractivity are connected, and use the result to show that the first and secondorder backwarddifference based multirate methods are Astable when applied to block diagonallydominant problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

CONNECTING WAVEFORM RELAXATION CONVERGENCE PROPERTIES TO THE A STABILITY OF MULTIRATE INTEGRATION METHODS

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0332-1649
DOI
10.1108/eb051724
Publisher site
See Article on Publisher Site

Abstract

Application of the waveform relaxation algorithm to the differentialalgebraic equations generated by problems in circuit and semiconductor device simulation have demonstrated that the method often contracts uniformly in time. In addition, instabilities in the underlying multirate integration method have not been observed. In this paper, it is proved that multirate Astability and waveform relaxation uniform contractivity are connected, and use the result to show that the first and secondorder backwarddifference based multirate methods are Astable when applied to block diagonallydominant problems.

Journal

COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Apr 1, 1991

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