Stability analysis of the BDF Slowest-first multirate methods

Authors:
A. Verhoeven;E. J. W. Ter Maten;R. M. M. Mattheij;B. Tasic
Affiliations:
Technische Universiteit Eindhoven, Eindhoven, MB, The Netherlands;Technische Universiteit Eindhoven, Eindhoven, MB, The Netherlands,NXP Semiconductors, Eindhoven, AE, The Netherlands;Technische Universiteit Eindhoven, Eindhoven, MB, The Netherlands;NXP Semiconductors, Eindhoven, AE, The Netherlands
Venue:
International Journal of Computer Mathematics - Splitting Methods for Differential Equations
Year:
2007

Citing 7
Cited 0

Relaxation techniques for the simulation of VLSI circuits

Relaxation techniques for the simulation of VLSI circuits
Stability properties of backward euler multirate formulas

SIAM Journal on Scientific and Statistical Computing
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Stability of backward Euler multirate methods and convergence of waveform relaxation

BIT
A multirate W-method for electrical networks in state-space formulation

Journal of Computational and Applied Mathematics
Ordinary Differential Equations in Theory and Practice

Ordinary Differential Equations in Theory and Practice
A charge oriented mixed multirate method for a special class of index-1 network equations in chip design

Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper deals with the stability analysis of BDF Slowest-first multirate time-integration methods applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled.