Access the full text.
Sign up today, get DeepDyve free for 14 days.
E. Lelarasmee, A. Ruehli, A. Sangiovanni-Vincentelli (1982)
The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated CircuitsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1
M. Reichelt, Jacob White, Jonathan Allen (1989)
Waveform relaxation for transient simulation of two-dimensional MOS devices1989 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers
David Feingold, R. Varga (1962)
Block diagonally dominant matrices and generalizations of the Gerschgorin circle theoremPacific Journal of Mathematics, 12
D. Erdman, D. Rose (1989)
A Newton waveform relaxation algorithm for circuit simulation1989 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers
S. Skelboe (1989)
Stability properties of backward euler multirate formulasSiam Journal on Scientific and Statistical Computing, 10
U. Miekkala, O. Nevanlinna (1987)
Convergence of dynamic iteration methods for initial value problemsSiam Journal on Scientific and Statistical Computing, 8
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.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Apr 1, 1991
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.