Multi-splitting Waveform Relaxation Methods for Determining Periodic Solutions of Linear Differential-Algebraic Equations

Author

Lin, Xiaolin ; Yaolin Jiang ; Wang, Zhen

Author_Institution

Dept. of Math. Sci., Xi ´´an Jiaotong Univ., Xi´´an

Volume

1

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

325

Lastpage

330

Abstract

This paper use multi-splittings waveform relaxation (MSWR) method to determine the periodic solutions of linear differential-algebraic equations. Based on the spectral radius of the derived operator by decoupled process, we obtain some convergent conditions for the MSWR method. Numerical example in circuit simulation is provided to further confirm the theoretical analysis and also show that the multi-splitting technique can effectively accelerate the convergent performance of the iterative process.

Keywords

iterative methods; linear differential equations; iterative process; linear differential-algebraic equations; multisplitting waveform relaxation methods; Acceleration; Circuit simulation; Differential equations; Performance analysis; Relaxation methods; Steady-state; Time domain analysis; Transient response; Very large scale integration; Multi-splitting waveform relaxation; circuit simulation; linear differential-algebraic equations; periodic solutions; spectra of linear operators;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2008. ICNC '08. Fourth International Conference on

Conference_Location

Jinan

Print_ISBN

978-0-7695-3304-9

Type

conf

DOI

10.1109/ICNC.2008.672

Filename

4666863