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Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these…

Soft Condensed Matter · Physics 2021-03-19 Yuanjian Zheng , Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

To obtain the initial pressure from the collected data on a planar sensor arrangement in Photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

Numerical Analysis · Mathematics 2015-01-14 Julian Schmid , Thomas Glatz , Behrooz Zabihian , Mengyang Liu , Wolfgang Drexler , Otmar Scherzer

In this paper, we present a GPU-accelerated direct-sum boundary integral method to solve the linear Poisson-Boltzmann (PB) equation. In our method, a well-posed boundary integral formulation is used to ensure the fast convergence of Krylov…

Numerical Analysis · Mathematics 2015-06-12 Weihua Geng , Ferosh Jacob

We propose a dataset-based photonic simulation framework for multimode waveguide design, enabling ultra-fast simulations with high accuracy. Compared to conventional approaches, our method offers two to three orders of magnitude speed-up in…

Optics · Physics 2025-11-11 Jaesung Song , Young-Ik Sohn

In this paper, we report an optimized union-find (UF) algorithm that can label the connected components on a 2D image efficiently by employing the GPU architecture. The proposed method contains three phases: UF-based local merge, boundary…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Jun Chen , Qiang Yao , Houari Sabirin , Keisuke Nonaka , Hiroshi Sankoh , Sei Naito

We propose a Fast Fourier Transform based Periodic Interpolation Method (FFT-PIM), a flexible and computationally efficient approach for computing the scalar potential given by a superposition sum in a unit cell of an infinitely periodic…

Numerical Analysis · Mathematics 2024-07-01 Fangzhou Ai , Vitaliy Lomakin

Recently, single-stage embedding based deep learning algorithms gain increasing attention in cell segmentation and tracking. Compared with the traditional "segment-then-associate" two-stage approach, a single-stage algorithm not only…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Mengyang Zhao , Aadarsh Jha , Quan Liu , Bryan A. Millis , Anita Mahadevan-Jansen , Le Lu , Bennett A. Landman , Matthew J. Tyskac , Yuankai Huo

This paper presents a new fast multipole boundary element method (FM-BEM) for solving the acoustic transmission problems in 2D periodic media. We divide the periodic media into many fundamental blocks, and then construct the boundary…

Numerical Analysis · Mathematics 2019-10-25 Wenhui Meng , Ruifei Liu

We present efficient algorithms to build data structures and the lists needed for fast multipole methods. The algorithms are capable of being efficiently implemented on both serial, data parallel GPU and on distributed architectures. With…

Mathematical Software · Computer Science 2013-01-10 Qi Hu , Nail A. Gumerov , Ramani Duraiswami

When a pulsed, few-cycle electromagnetic wave is focused by optics with f-number smaller than two, the frequency components it contains are focused to different regions of space, building up a complex electromagnetic field structure.…

This paper introduces a fast Central Processing Unit (CPU) implementation of geodesic morphological operations using stream processing. In contrast to the current state-of-the-art, that focuses on achieving insensitivity to the filter sizes…

Performance · Computer Science 2019-12-02 Danijel Žlaus , Domen Mongus

We present heterodyne detected transient grating (HD-TG) measurements on 1D surface corrugated Phononic Crystal (PC) with characteristic band edge wave vector of $\pi/5$ $\mu$m$^{-1}$. This experimental investigation enables both the direct…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 I. Malfanti , A. Taschin , P. Bartolini , B. Bonello , R. Torre

This paper describes some applications of GPU acceleration in ab initio nuclear structure calculations. Specifically, we discuss GPU acceleration of the software package MFDn, a parallel nuclear structure eigensolver. We modify the matrix…

We describe a method for parallelizing the lexicographic enumeration algorithm for the factorization set of an element in a numerical semigroup via bounds. This enables the use of GPU and distributed computing methods. We provide a CUDA…

Commutative Algebra · Mathematics 2024-05-14 Thomas Barron

Point clouds are utilized in various 3D applications such as cross-reality (XR) and realistic 3D displays. In some applications, e.g., for live streaming using a 3D point cloud, real-time point cloud denoising methods are required to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Ryosuke Watanabe , Keisuke Nonaka , Eduardo Pavez , Tatsuya Kobayashi , Antonio Ortega

Probabilistic breadth-first traversals (BPTs) are used in many network science and graph machine learning applications. In this paper, we are motivated by the application of BPTs in stochastic diffusion-based graph problems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Reece Neff , Mostafa Eghbali Zarch , Marco Minutoli , Mahantesh Halappanavar , Antonino Tumeo , Ananth Kalyanaraman , Michela Becchi

We propose a GPU-accelerated distributed optimization algorithm for controlling multi-phase optimal power flow in active distribution systems with dynamically changing topologies. To handle varying network configurations and enable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-15 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Spatial Branch and Bound (B&B) algorithms are widely used for solving nonconvex problems to global optimality, yet they remain computationally expensive. Though some works have been carried out to speed up B&B via CPU parallelization, GPU…

Optimization and Control · Mathematics 2025-07-29 Hongzhen Zhang , Tim Kerkenhoff , Neil Kichler , Manuel Dahmen , Alexander Mitsos , Uwe Naumann , Dominik Bongartz

Despite rapid progress in the development of quantum algorithms in quantum computing as well as numerical simulation methods in classical computing for atomic and molecular applications, no systematic and comprehensive electronic structure…

The boundary integral method is an efficient approach for solving time-harmonic acoustic obstacle scattering problems. The main computational task is the evaluation of an oscillatory boundary integral at each discretization point of the…

Numerical Analysis · Mathematics 2014-09-17 Lexing Ying