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A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping…

数学物理 · 物理学 2015-06-02 Anders Andersson , Borje Nilsson , Thomas Biro

We are concerned with a class of degenerate diffusion equations with time delay describing population dynamics with age structure. In our recent study [{\em Nonlinearity}, 33 (2020), 4013--4029], we established the existence and uniqueness…

偏微分方程分析 · 数学 2021-03-10 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

In this paper, we present a deep learning based wireless transceiver. We describe in detail the corresponding artificial neural network architecture, the training process, and report on excessive over-the-air measurement results. We employ…

信号处理 · 电气工程与系统科学 2019-05-28 Johannes Schmitz , Caspar von Lengerke , Nikita Airee , Arash Behboodi , Rudolf Mathar

The performance of interFoam (a widely used solver within OpenFOAM package) in simulating the propagation of water waves has been reported to be sensitive to the temporal and spatial resolution. To facilitate more accurate simulations, a…

流体动力学 · 物理学 2020-10-15 Zhihang Zhang , Xizeng Zhao , Bin Xie

Acoustic wave propagation in a one-dimensional waveguide connected with Helmholtz resonators is studied numerically. Finite amplitude waves and viscous boundary layers are considered. The model consists of two coupled evolution equations: a…

经典物理 · 物理学 2015-06-16 Bruno Lombard , Jean-François Mercier

Large-scale coreference resolution presents a significant challenge in natural language processing, necessitating a balance between efficiency and accuracy. In response to this challenge, we introduce an End-to-End Neural Coreference…

计算与语言 · 计算机科学 2025-04-09 Zhang Dong , Songhang deng , Mingbang Wang , Le Dai , Jiyuan Li , Xingzu Liu , Ruilin Nong

In scientific machine learning, the task of identifying partial differential equations accurately from sparse and noisy data poses a significant challenge. Current sparse regression methods may identify inaccurate equations on sparse and…

机器学习 · 计算机科学 2025-04-08 Su Chen , Yi Ding , Hiroe Miyake , Xiaojun Li

Recently developed deep neural models like NetGAN, CELL, and Variational Graph Autoencoders have made progress but face limitations in replicating key graph statistics on generating large graphs. Diffusion-based methods have emerged as…

机器学习 · 计算机科学 2023-10-31 Mingyang Wu , Xiaohui Chen , Li-Ping Liu

Applying parallel-in-time algorithms to multiscale Hamiltonian systems to obtain stable long time simulations is very challenging. In this paper, we present novel data-driven methods aimed at improving the standard parareal algorithm…

数值分析 · 数学 2023-09-06 Rui Fang , Richard Tsai

Waves are all around us--be it in the form of sound, electromagnetic radiation, water waves, or earthquakes. Their study is an important basic tool across engineering and science disciplines. Every wave solver serving the computational…

数学软件 · 计算机科学 2013-04-23 Andreas Klöckner , Timothy Warburton , Jan S. Hesthaven

Is a deep learning model capable of understanding systems governed by certain first principle laws by only observing the system's output? Can deep learning learn the underlying physics and honor the physics when making predictions? The…

计算物理 · 物理学 2020-06-11 Rohan Thavarajah , Xiang Zhai , Zheren Ma , David Castineira

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…

信号处理 · 电气工程与系统科学 2022-06-27 Emeka Abakasanga , Nir Shlezinger , Ron Dabora

Data-driven modeling of complex physical systems is receiving a growing amount of attention in the simulation and machine learning communities. Since most physical simulations are based on compute-intensive, iterative implementations of…

声音 · 计算机科学 2024-03-20 Martin Spitznagel , Janis Keuper

Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

机器学习 · 计算机科学 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

In this study, a numerical model preserving a class of nontrivial steady-state solutions is proposed to predict waves propagation and waves run-up on coastal zones. The numerical model is based on the Saint-Venant system with source terms…

数值分析 · 数学 2022-10-05 H. Karjoun , A. Beljadid

Modeling ocean surface waves under complex ocean current conditions is of crucial importance to many naval applications. For example, traveling ships and underwater vehicles generate spatially heterogeneous currents behind them through…

流体动力学 · 物理学 2022-02-15 Tianyi Li , Anqing Xuan , Lian Shen

Metasurfaces are extremely useful for controlling and manipulating electromagnetic waves. Full-wave numerical simulation is highly desired for their design and optimization, but it is notoriously difficult, even for two-dimensional…

光学 · 物理学 2026-01-21 Fuhao Liu , Ya Yan Lu

Wave propagation in a stratified fluid / porous medium is studied here using analytical and numerical methods. The semi-analytical method is based on an exact stiffness matrix method coupled with a matrix conditioning procedure, preventing…

经典物理 · 物理学 2012-07-11 Gaëlle Lefeuve-Mesgouez , Arnaud Mesgouez , Guillaume Chiavassa , Bruno Lombard

Despite the notable success of deep neural networks (DNNs) in solving complex tasks, the training process still remains considerable challenges. A primary obstacle is the substantial time required for training, particularly as high…

机器学习 · 计算机科学 2025-09-09 Viet Hoang Pham , Hyo-Sung Ahn

The fusion research facility ITER is currently being assembled to demonstrate that fusion can be used for industrial energy production, while several other programmes across the world are also moving forward, such as EU-DEMO, CFETR, SPARC…

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