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This paper presents a fast wavefield evaluation method for two-dimensional wave scattering problems. The proposed method is based on a modified version of proxy-surface-accelerated interpolative decomposition, making it effective even if…

Numerical Analysis · Mathematics 2025-03-05 Yasuhiro Matsumoto

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

Numerical Analysis · Mathematics 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

In this paper we describe a parallel implicit method based on radial basis functions (RBF) for surface reconstruction. The applicability of RBF methods is hindered by its computational demand, that requires the solution of linear systems of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-23 Salvatore Cuomo , Ardelio Gallettiy , Giulio Giuntay , Alfredo Staracey

We introduce a relaxed inertial forward-backward-forward (RIFBF) splitting algorithm for approaching the set of zeros of the sum of a maximally monotone operator and a single-valued monotone and Lipschitz continuous operator. This work aims…

Optimization and Control · Mathematics 2020-03-24 Radu Ioan Bot , Michael Sedlmayer , Phan Tu Vuong

The hierarchical interpolative factorization (HIF) offers an efficient way for solving or preconditioning elliptic partial differential equations. By exploiting locality and low-rank properties of the operators, the HIF achieves…

Numerical Analysis · Mathematics 2017-06-12 Yingzhou Li , Lexing Ying

Transverse magnetic (TM) scattering of an electromagnetic wave from a periodic dielectric diffraction grating can mathematically be described by a volume integral equation. This volume integral equation, however, in general fails to feature…

Numerical Analysis · Mathematics 2012-11-19 Armin Lechleiter , Dinh Liem Nguyen

We present a time-domain iteration scheme for solving the Dynamical Mean-Field Theory (DMFT) self-consistent equations using retarded Green's functions in real time. Unlike conventional DMFT approaches that operate in imaginary time or…

Strongly Correlated Electrons · Physics 2026-01-28 Chakradhar Rangi , Aadi Singh , Ka-Ming Tam

This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two-dimensional penetrable obstacles. Our approach is built upon a direct BIE…

Numerical Analysis · Mathematics 2022-11-10 Thomas Strauszer-Caussade , Luiz M. Faria , Agustín Fernandez-Lado , Carlos Pérez-Arancibia

The accurate and efficient evaluation of potentials is of great importance for the numerical solution of partial differential equations. When the integration domain of the potential is irregular and is discretized by an unstructured mesh,…

Numerical Analysis · Mathematics 2022-06-20 Zewen Shen , Kirill Serkh

A faster implementation of the Quadratic Programming (QP) solver used in the Model Predictive Control scheme for Iter Plasma current and shape control was developed for Xilinx Field-Programmable Gate Array (FPGA) platforms using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-19 Samo Gerkšič , Boštjan Pregelj , Matija Perne

Feature transformation plays a critical role in enhancing machine learning model performance by optimizing data representations. Recent state-of-the-art approaches address this task as a continuous embedding optimization problem, converting…

Machine Learning · Computer Science 2025-08-29 Yang Gao , Dongjie Wang , Scott Piersall , Ye Zhang , Liqiang Wang

Surface-from-gradients (SfG) aims to recover a three-dimensional (3D) surface from its gradients. Traditional methods encounter significant challenges in achieving high accuracy and handling high-resolution inputs, particularly facing the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Jiaqi Leng , Yakun Ju , Yuanxu Duan , Jiangnan Zhang , Qingxuan Lv , Zuxuan Wu , Hao Fan

Iterative Filtering (IF) is an alternative technique to the Empirical Mode Decomposition (EMD) algorithm for the decomposition of non-stationary and non-linear signals. Recently in [1] IF has been proved to be convergent for any $L^2$…

Numerical Analysis · Mathematics 2015-07-28 Antonio Cicone , Haomin Zhou

A stochastic method is described for estimating Green's functions (GF's), appropriate to linear advection-diffusion-reaction transport problems, evolving in arbitrary geometries. By allowing straightforward construction of approximate,…

A new method is presented for solving Poisson's equation inside an open-ended rectangular pipe. The method uses Fast Fourier Transforms (FFTs) to perform mixed convolutions and correlations of the charge density with the Green function.…

Accelerator Physics · Physics 2011-11-22 Robert D. Ryne

This paper proposes a novel approach for the generation of memory-efficient table-based function approximation circuits for FPGAs. Given a function f(x) to be approximated in a given interval [x0,x0+a] and a maximum approximation error Ea,…

Hardware Architecture · Computer Science 2022-04-26 Chetana Pradhan , Martin Letras , Jürgen Teich

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

Machine Learning · Computer Science 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

The Fast Fourier Transform (FFT) is a fundamental numerical technique with widespread application in a range of scientific problems. As scientific simulations attempt to exploit exascale systems, there has been a growing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Sana Taghipour Anvari , Julian Samaroo , Matin Raayai Ardakani , David Kaeli

We investigate the channel estimation for massive multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems. We revisit the information geometry approach (IGA) for massive MIMO-OFDM channel estimation. By…

Information Theory · Computer Science 2024-06-05 Jiyuan Yang , Yan Chen , Mingrui Fan , An-An Lu , Wen Zhong , Xiqi Gao , Xiaohu You , Xiang-Gen Xia , Dirk Slock

Millisecond focal plane telemetry is now becoming practical due to a new generation of near-IR detector arrays with sub-electron noise that are capable of kHz readout rates. Combining these data with those simultaneously available from the…

Instrumentation and Methods for Astrophysics · Physics 2016-11-23 Richard A. Frazin