Optimization of transmission conditions in waveform relaxation techniques for RC circuits

MD Al-Khaleel, MJ Gander, AE Ruehli - SIAM Journal on Numerical Analysis, 2014 - SIAM
Waveform relaxation techniques have become increasingly important with the wide
availability of parallel computers with a large number of processors. A limiting factor for …

Optimized waveform relaxation methods for longitudinal partitioning of transmission lines

MJ Gander, M Al-Khaleel… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
Waveform relaxation (WR) is a technique that can be used to solve large systems of ordinary
differential equations (ODEs). It is particularly suitable for the parallel solution of ODEs with …

Parameter Optimization in Waveform Relaxation for Fractional-Order Circuits

SL Wu, M Al-Khaleel - … Transactions on Circuits and Systems I …, 2017 - ieeexplore.ieee.org
The longitudinal waveform relaxation (WR) proposed by Gander and Ruehli converges
faster than the classical WR method. For the former, a free parameter α is contained, which …

Optimized waveform relaxation methods for RC circuits: Discrete case

SL Wu, MD Al-Khaleel - ESAIM: Mathematical Modelling and …, 2017 - numdam.org
The optimized waveform relaxation (OWR) methods, benefiting from intelligent information
exchange between subsystems–the so-called transmission conditions (TCs), are recognized …

Semi-discrete Schwarz waveform relaxation algorithms for reaction diffusion equations

SL Wu, MD Al-Khaleel - BIT Numerical Mathematics, 2014 - Springer
For time dependent problems, the Schwarz waveform relaxation (SWR) algorithm can be
analyzed both at the continuous and semi-discrete level. For consistent space …

A mathematical analysis of optimized waveform relaxation for a small RC circuit

M Al-Khaleel, MJ Gander, AE Ruehli - Applied Numerical Mathematics, 2014 - Elsevier
Waveform relaxation techniques are an important tool for the simulation of very large scale
circuits. They are based on a partition of the circuit into sub-circuits, and then use an iteration …

A mathematical analysis of discrete waveform relaxation algorithms for transmission line type circuits

M Al-Khaleel, SL Wu - 2021 IEEE Asia-Pacific Conference on …, 2021 - ieeexplore.ieee.org
Convergence rate is greatly improved by using the new waveform relaxation (WR) methods,
known as optimized waveform relaxation (OWR) algorithms, over the classical ones due to …

Resistive coupling-based waveform relaxation algorithm for analysis of interconnect circuits

T Menkad, A Dounavis - … Transactions on Circuits and Systems I …, 2017 - ieeexplore.ieee.org
A parallel waveform relaxation (WR) algorithm is presented for transient analysis of large
distributed interconnect networks. The proposed algorithm partitions interconnect circuits …

Quasi-overlapping semi-discrete Schwarz waveform relaxation algorithms: The hyperbolic problem

M Al-Khaleel, SL Wu - Computational Methods in Applied …, 2020 - degruyter.com
The Schwarz waveform relaxation (SWR) algorithms have many favorable properties and
are extensively studied and investigated for solving time dependent problems mainly at a …

Schwarz waveform relaxation for a neutral functional partial differential equation model of lossless coupled transmission lines

SL Wu, TZ Huang - SIAM Journal on Scientific Computing, 2013 - SIAM
In this paper, we investigate the convergence behavior of the Schwarz waveform relaxation
(SWR) algorithm for partial neutral functional differential equations which arise from lossless …