Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique

2019 ◽  
Vol 143 (2) ◽  
pp. 489-527 ◽  
Author(s):  
Martin J. Gander ◽  
Shu-Lin Wu
Keyword(s):  
Convergence Analysis ◽  
Initial Value Problems ◽  
Relaxation Method ◽  
Waveform Relaxation ◽  
Initial Value ◽  
Waveform Relaxation Method

scholarly journals On the Convergence of Continuous-Time Waveform Relaxation Methods for Singular Perturbation Initial Value Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Yongxiang Zhao ◽  
Li Li
Keyword(s):  
Singular Perturbation ◽  
Continuous Time ◽  
Initial Value Problems ◽  
Sufficient Conditions ◽  
Relaxation Method ◽  
Waveform Relaxation ◽  
Initial Value ◽  
Relaxation Methods ◽  
Waveform Relaxation Method ◽  
Time Waveform

This paper extends the continuous-time waveform relaxation method to singular perturbation initial value problems. The sufficient conditions for convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems are given.

A multigrid waveform relaxation method for solving the poroelasticity equations

2018 ◽  
Vol 37 (4) ◽  
pp. 4805-4820 ◽  
Author(s):  
S. R. Franco ◽  
C. Rodrigo ◽  
F. J. Gaspar ◽  
M. A. V. Pinto
Keyword(s):  
Relaxation Method ◽  
Waveform Relaxation ◽  
Waveform Relaxation Method
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