On conceptual structuration and coupling methods of co-simulation frameworks in cyber-physical energy system validation

VH Nguyen, Y Besanger, QT Tran, TL Nguyen - Energies, 2017 - mdpi.com
Co-simulation is an emerging method for cyber-physical energy system (CPES) assessment
and validation. Combining simulators of different domains into a joint experiment, co …

A Jacobi waveform relaxation method for ODEs

J Sand, K Burrage - SIAM Journal on Scientific Computing, 1998 - SIAM
A Jacobi waveform relaxation (WR) method for solving initial value problems for ordinary
differential equations (ODEs) is presented. In each window the method uses a technique …

Accelerated waveform relaxation methods for power systems

F Pruvost, P Laurent-Gengoux… - … on Electrical and …, 2011 - ieeexplore.ieee.org
In this paper, the authors investigate the ability of the Waveform Relaxation method to deal
with large power systems and assess its efficiency. As any domain decomposition methods …

On error estimates for waveform relaxation methods for delay-differential equations

Z Bartoszewski, M Kwapisz - SIAM Journal on Numerical Analysis, 2000 - SIAM
In this paper the problem of delay-dependent error estimates for waveform relaxation
methods applied to systems of delay-differential equations is discussed. Under suitable …

Newton waveform relaxation method for solving algebraic nonlinear equations

S Wu, C Huang, Y Liu - Applied Mathematics and Computation, 2008 - Elsevier
We introduce a new notion for solving algebraic nonlinear equations, which is derived from
the well known waveform relaxation iterative method, and is well suited to couple different …

基于方法的波形松弛方法的A 稳定

范振成 - 工程数学学报, 2023 - jgsx-csiam.org.cn
描述芯片或电力系统运行规律的常用数学模型是高维微分代数方程组, 其中的微分方程组太大,
线性多步法和Runge-Kutta 法等经典数值方法均不能有效求解. 为求解这些微分方程组 …

Accelerating the convergence of Dynamic Iteration method with Restricted Additive Schwarz splitting for the solution of RLC circuits

H Shourick, D Tromeur-Dervout, L Chedot - arXiv preprint arXiv …, 2022 - arxiv.org
The dynamic iteration method with a restricted additive Schwarz splitting is investigated to co-
simulate linear differential algebraic equations system coming from RLC electrical circuit …

Speed-up the computing efficiency of waveform relaxation method for power system transient stability

F Pruvost, P Laurent-Gengoux, F Magoulès… - Proceedings of the first …, 2011 - dl.acm.org
This paper deals with some improvements of the Waveform Relaxation method for large
power systems transient stability analysis. In this context, the classical Waveform Relaxation …

Waveform relaxation methods for implicit differential equations

PJ Van der Houwen, WA Van der Veen - Advances in Computational …, 1997 - Springer
Abstract We apply a Runge-Kutta-based waveform relaxation method to initial-value
problems for implicit differential equations. In the implementation of such methods, a …

Using waveform relaxation methods to approximate neutral stochastic functional differential equation systems

Z Fan - Applied Mathematics and Computation, 2015 - Elsevier
This paper extends the waveform relaxation (WR) method to neutral stochastic functional
differential equations. The linear convergence theory of the continuous time WR method is …