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Relevant bibliographies by topics / Waveform Relaxation (WR)

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Academic literature on the topic 'Waveform Relaxation (WR)'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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Journal articles on the topic "Waveform Relaxation (WR)"

1

Habib, S. E. D., and G. J. Al-Karim. "An Initialization Technique for the Waveform-Relaxation Circuit Simulation." VLSI Design 9, no. 2 (1999): 213–18. http://dx.doi.org/10.1155/1999/10238.

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This paper reports the development of the Cairo University Waveform Relaxation (CUWORX) simulator. In order to accelerate the convergence of the waveform relaxation (WR) in the presence of logic feedback, CUWORK is initialized via a logic simulator. This logic initialization scheme is shown to be highly effective for digital synchronous circuits. Additionally, this logic initialization scheme preserves fully the multi-rate properties of the WR algorithm.

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2

Fan, Zhencheng. "Zero-stability of waveform relaxation methods for ordinary differential equations." Electronic Research Archive 30, no. 3 (2022): 1126–41. http://dx.doi.org/10.3934/era.2022060.

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<abstract><p>Zero-stability is the basic property of numerical methods of ordinary differential equations (ODEs). Little work on zero-stability is obtained for the waveform relaxation (WR) methods, although it is an important numerical method of ODEs. In this paper we present a definition of zero-stability of WR methods and prove that several classes of WR methods are zero-stable under the Lipschitz conditions. Also, some numerical examples are given to outline the effectiveness of the developed results.</p></abstract>

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3

Kumar, Umesh. "Organization of a Circuit Simulator Based on Waveform-Relaxation Method." Active and Passive Electronic Components 26, no. 3 (2003): 137–39. http://dx.doi.org/10.1080/08827510310001603429.

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4

Geiser, Jürgen, Eulalia Martínez, and Jose L. Hueso. "Serial and Parallel Iterative Splitting Methods: Algorithms and Applications to Fractional Convection-Diffusion Equations." Mathematics 8, no. 11 (2020): 1950. http://dx.doi.org/10.3390/math8111950.

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The benefits and properties of iterative splitting methods, which are based on serial versions, have been studied in recent years, this work, we extend the iterative splitting methods to novel classes of parallel versions to solve nonlinear fractional convection-diffusion equations. For such interesting partial differential examples with higher dimensional, fractional, and nonlinear terms, we could apply the parallel iterative splitting methods, which allow for accelerating the solver methods and reduce the computational time. Here, we could apply the benefits of the higher accuracy of the ite

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5

Balti, Moez. "Noise Bus Modeling in Network on Chip." Journal of Circuits, Systems and Computers 27, no. 09 (2018): 1850149. http://dx.doi.org/10.1142/s0218126618501499.

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This paper considers the noise modeling of interconnections in on-chip communication. We present an approach to illustrate modeling and simulation of interconnections on chip microsystems that consist of electrical circuits connected to subsystems described by partial differential equations, which are solved independently. A model for energy dissipation in RLC mode is proposed for the switching current/voltage of such on-chip interconnections. The Waveform Relaxation (WR) algorithm is presented in this paper to address limiting in simulating NoCs due to the large number of coupled lines. We de

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6

Meisrimel, Peter, and Philipp Birken. "Waveform Relaxation with asynchronous time-integration." ACM Transactions on Mathematical Software, November 2, 2022. http://dx.doi.org/10.1145/3569578.

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We consider Waveform Relaxation (WR) methods for parallel and partitioned time-integration of surface-coupled multiphysics problems. WR allows independent time-discretizations on independent and adaptive time-grids, while maintaining high time-integration orders. Classical WR methods such as Jacobi or Gauss-Seidel WR are typically either parallel or converge quickly. We present a novel parallel WR method utilizing asynchronous communication techniques to get both properties. Classical WR methods exchange discrete functions after time-integration of a subproblem. We instead asynchronously excha

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7

Ding, Xiao-Li, and Juan J. Nieto. "Numerical Analysis of Fractional Neutral Functional Differential Equations Based on Generalized Volterra-Integral Operators." Journal of Computational and Nonlinear Dynamics 12, no. 3 (2017). http://dx.doi.org/10.1115/1.4035267.

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We use waveform relaxation (WR) method to solve numerically fractional neutral functional differential equations and mainly consider the convergence of the numerical method with the help of a generalized Volterra-integral operator associated with the Mittag–Leffler function. We first give some properties of the integral operator. Using the proposed properties, we establish the convergence condition of the numerical method. Finally, we provide a new way to prove the convergence of waveform relaxation method for integer-order neutral functional differential equation, which is a special case of f

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Dissertations / Theses on the topic "Waveform Relaxation (WR)"

1

Pon, Carlos (Carlos Roberto) Carleton University Dissertation Engineering Electronics. "Time warping - waveform relaxation (TW - WR) in a distributed simulation environment." Ottawa, 1995.

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2

DE, STEFANO MARCO. "Modeling and Simulation of Nonlinearly Loaded Electromagnetic Systems via Reduced Order Models - A Case Study: Energy Selective Surfaces." Doctoral thesis, Politecnico di Torino, 2022. http://hdl.handle.net/11583/2972203.

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