Semi-convergence of parameterized Uzawa waveform relaxation method for a class of differential-algebraic equations

Authors:
Wendi Bao;Yongzhong Song;Shuqian Shen
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

Citing 7
Cited 0

Dynamic iteration methods applied to linear DAE systems

Journal of Computational and Applied Mathematics
Waveform relaxation for linear RC-circuits

IMPACT of Computing in Science and Engineering
Weak-convergence theory of quasi-nonnegative splittings for singular matrices

Applied Numerical Mathematics - Special issue: 2nd international workshop on numerical linear algebra, numerical methods for partial differential equations and optimization
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems

Numerische Mathematik
An analysis of convergence for two-stage waveform relaxation methods

Journal of Computational and Applied Mathematics
Optimal relaxation parameter for the Uzawa Method

Numerische Mathematik
The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, we propose an efficient parameterized Uzawa waveform relaxation method for solving a class of initial value problems of differential-algebraic equations (DAEs). The semi-convergence of this method is studied. Furthermore, the optimal iteration parameters and the corresponding optimal factor for the parameterized Uzawa waveform relaxation method are determined. Two numerical examples are given to illustrate the theoretical results.