On the convergence of iterative methods for general differential--algebraic systems

Authors:
Z. Bartoszewski;T. Jankowski;M. Kwapisz
Affiliations:
The Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, ul. G. Narutowicza 11/12, 80-952 Gdańsk, Poland;The Faculty of Technical Physics and Applied Mathematics, Gdańsk University of Technology, ul. G. Narutowicza 11/12, 80-952 Gdańsk, Poland;Institute of Mathematics, The Academy of Bydgoszcz, ul. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

Citing 3
Cited 2

Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems

SIAM Journal on Numerical Analysis
Waveform Relaxation for Functional-Differential Equations

SIAM Journal on Scientific Computing
Iterative solution of nonlinear equations in several variables

Iterative solution of nonlinear equations in several variables

Convergence analysis of waveform relaxation methods for neutral differential-functional systems

Journal of Computational and Applied Mathematics
Waveform relaxation method for stochastic differential equations with constant delay

Applied Numerical Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper the existence and uniqueness of solutions to quite general classes of integro-algebraic systems and differential-algebraic systems are investigated. The convergence of different iterative processes of solving such systems including waveform relaxation methods is also investigated. There are given constructive sufficient conditions under which the solutions exist and are unique and the considered iterative processes are convergent.