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In this article, we have studied the convergence behavior of the Dirichlet-Neumann and Neumann- Neumann waveform relaxation algorithms for time-fractional sub-diffusion and diffusion-wave equations in 1D & 2D for regular domains, where the…

Numerical Analysis · Mathematics 2022-12-26 Soura Sana , Bankim C. Mandal

We propose the use of automatic differentiation through the programming framework jax for accelerating a variety of analysis tasks throughout gravitational wave (GW) science. Firstly, we demonstrate that complete waveforms which cover the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Thomas D. P. Edwards , Kaze W. K. Wong , Kelvin K. H. Lam , Adam Coogan , Daniel Foreman-Mackey , Maximiliano Isi , Aaron Zimmerman

With increased reliance on cyber infrastructure, large scale power networks face new challenges owing to computational scalability. In this paper we focus on developing an asynchronous decentralized solution framework for the Unit…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Paritosh Ramanan , Murat Yildirim , Edmond Chow , Nagi Gebraeel

In this paper, we propose a method of improving temporal Convolutional Neural Networks (CNN) by determining the optimal alignment of weights and inputs using dynamic programming. Conventional CNN convolutions linearly match the shared…

Computer Vision and Pattern Recognition · Computer Science 2019-02-08 Brian Kenji Iwana , Seiichi Uchida

In this paper, we introduce a novel approach that combines multiresolution (MR) techniques with the flux reconstruction (FR) method to accurately and effciently simulate compressible flows. We achieve further enhancements in effciency…

Fluid Dynamics · Physics 2023-06-21 Yixuan Lian , Jinsheng Cai , Shucheng Pan

We present a new temporal discretization paradigm for developing energy-production-rate preserving numerical approximations to thermodynamically consistent partial differential equation systems, called the supplementary variable method. The…

Numerical Analysis · Mathematics 2020-06-09 Yuezheng Gong , Qi Hong , Qi Wang

A multiscale asymptotic homogenization method for periodic microstructured materials in presence of thermoelasticity with periodic spatially dependent one relaxation time is introduced. The asymptotic expansions of the micro-displacement…

Materials Science · Physics 2021-04-12 Deison Préve , Andrea Bacigalupo , Marco Paggi

Temporal networks -- sequences of time-stamped contacts among nodes -- constitute the finest-grained representation of dynamic interaction data; however, geometric and topological analyses of such networks have remained largely confined to…

Differential Geometry · Mathematics 2026-05-18 Taiki Yamada

Phase, frequency, and time synchronization are crucial requirements for many applications, such as multi-static remote sensing and communication systems. Moreover, the synchronization solution becomes even more challenging when the nodes…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Juan Merlano Duncan , Liz Martinez-Marrero , Jorge Querol , Sumit Kumar , Adriano Camps , Symeon Chatzinotas , Bjorn Ottersten

Nowadays, as the ever-increasing demand for more powerful computing resources continues, alternative advanced computing paradigms are under extensive investigation. Significant effort has been made to deviate from conventional Von Neumann…

Neural and Evolutionary Computing · Computer Science 2024-10-10 Bernard J. Giron Castro , Christophe Peucheret , Darko Zibar , Francesco Da Ros

The proliferation of wireless communications networks over the past decades, combined with the scarcity of the wireless spectrum, have motivated a significant effort towards increasing the throughput of wireless networks. One of the major…

Signal Processing · Electrical Eng. & Systems 2022-06-27 Emeka Abakasanga , Nir Shlezinger , Ron Dabora

In this paper, we introduce HPR-QP, a dual Halpern Peaceman-Rachford (HPR) method designed for solving large-scale convex composite quadratic programming. One distinctive feature of HPR-QP is that, instead of working with the primal…

Optimization and Control · Mathematics 2025-07-04 Kaihuang Chen , Defeng Sun , Yancheng Yuan , Guojun Zhang , Xinyuan Zhao

This paper investigates the application of a fast-wave slow-wave spectral deferred correction time-stepping method (FWSW-SDC) to the compressible Euler equations. The resulting model achieves arbitrary order accuracy in time, demonstrating…

Numerical Analysis · Mathematics 2025-05-23 Alex Brown , Joscha Fregin , Thomas Bendall , Thomas Melvin , Daniel Ruprecht , Jemma Shipton

In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed finite elements and discrete differential…

Numerical Analysis · Mathematics 2008-07-19 Ari Stern , Yiying Tong , Mathieu Desbrun , Jerrold E. Marsden

We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found that contain highly oscillatory parasitic capillary ripples.…

Fluid Dynamics · Physics 2025-01-14 Josh Shelton , Paul Milewski , Philippe H. Trinh

In this report it is shown that the implicit Euler time-discretization of some classes of switching systems with sliding modes, yields a very good stabilization of the trajectory and of its derivative on the sliding surface. Therefore the…

Numerical Analysis · Mathematics 2009-04-13 Vincent Acary , Bernard Brogliato

This paper deals with the application of probabilistic time integration methods to semi-explicit partial differential-algebraic equations of parabolic type and its semi-discrete counterparts, namely semi-explicit differential-algebraic…

Numerical Analysis · Mathematics 2024-12-02 R. Altmann , A. Moradi

We propose Wake-Sleep Consolidated Learning (WSCL), a learning strategy leveraging Complementary Learning System theory and the wake-sleep phases of the human brain to improve the performance of deep neural networks for visual…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Amelia Sorrenti , Giovanni Bellitto , Federica Proietto Salanitri , Matteo Pennisi , Simone Palazzo , Concetto Spampinato

The linearly-polarized solar limb spectrum that is produced by scattering processes contains a wealth of information on the physical conditions and magnetic fields of the solar outer atmosphere, but the modeling of many of its strongest…

Solar and Stellar Astrophysics · Physics 2015-05-18 M. Sampoorna , J. Trujillo Bueno

This paper proposes an energy efficient resource allocation design algorithm for an intelligent reflecting surface (IRS)-assisted downlink ultra-reliable low-latency communication (URLLC) network. This setup features a multi-antenna base…

Signal Processing · Electrical Eng. & Systems 2023-09-27 Jalal Jalali , Filip Lemic , Hina Tabassum , Rafael Berkvens , Jeroen Famaey
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