TY - JOUR
AU1 - White, J.
AU2 - Odeh, F.
AB - 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.
TI - CONNECTING WAVEFORM RELAXATION CONVERGENCE PROPERTIES TO THE A STABILITY OF MULTIRATE INTEGRATION METHODS
JF - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
DO - 10.1108/eb051724
DA - 1991-04-01
UR - https://www.deepdyve.com/lp/emerald-publishing/connecting-waveform-relaxation-convergence-properties-to-the-a-i3HKLR2il7
SP - 497
EP - 508
VL - 10
IS - 4
DP - DeepDyve
ER -