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In this paper we present a Graphical Processing Unit accelerated mixed variational formulation for fast phononic band-structure calculation of arbitrarily complex unit cells and report speed gains of a hundred fold over unoptimized serial…

Materials Science · Physics 2013-10-25 Ankit Srivastava

With the growing reliance of modern supercomputers on accelerator-based architectures such a GPUs, the development and optimization of electronic structure methods to exploit these massively parallel resources has become a recent priority.…

Since the advent of mesh-free methods as a tool for the numerical analysis of systems of Partial Differential Equations (PDEs), many variants of differential operator approximation have been proposed. In this work, we propose a local…

Numerical Analysis · Mathematics 2022-03-07 Mitja Jančič , Gregor Kosec

Over the past decade, a number of algorithms for full-field elastic strain estimation from neutron and X-ray measurements have been published. Many of the recently published algorithms rely on modelling the unknown strain field as a…

Computational Physics · Physics 2020-07-10 A. W. T. Gregg , J. N. Hendriks , C. M. Wensrich , N. O'Dell

We study exact sparse linear regression with an $\ell_0-\ell_2$ penalty and develop a branch-and-bound (BnB) algorithm explicitly designed for GPU execution. Starting from a perspective reformulation, we derive an interval relaxation that…

Optimization and Control · Mathematics 2026-02-05 Xiang Meng , Ryan Lucas , Rahul Mazumder

As the need for computational power and efficiency rises, parallel systems become increasingly popular among various scientific fields. While multiple core-based architectures have been the center of attention for many years, the rapid…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 E. I. Ioannidis , N. Cheimarios , A. N. Spyropoulos , A. G. Boudouvis

Branch-and-Bound (B&B) algorithms are time intensive tree-based exploration methods for solving to optimality combinatorial optimization problems. In this paper, we investigate the use of GPU computing as a major complementary way to speed…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-21 Melab Nouredine , Imen Chakroun , Mezmaz Mohand , Daniel Tuyttens

This paper presents a GPU-accelerated computational framework for reconstructing high resolution (HR) LF images under a mixed Gaussian-Impulse noise condition. The main focus is on developing a high-performance approach considering…

Image and Video Processing · Electrical Eng. & Systems 2022-06-13 Trung-Hieu Tran , Kaicong Sun , Sven Simon

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

High Energy Physics - Lattice · Physics 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower

This study presents a reconstruction of the Gaussian Beam Tracing solution using CUDA, with a particular focus on the utilisation of GPU acceleration as a means of overcoming the performance limitations of traditional CPU algorithms in…

Performance · Computer Science 2025-01-24 Zhang Sheng , Lishu Duan , Hanbo Jiang

We present an alternative GPU acceleration for plane waves pseudopotentials electronic structure codes designed for systems that have small unit cells but require a large number of k points to sample the Brillouin zone as happens, for…

Materials Science · Physics 2025-07-31 Xuejun Gong , Andrea Dal Corso

We describe the GPU implementation of shifted or multimass iterative solvers for sparse linear systems of the sort encountered in lattice gauge theory. We provide a generic tool that can be used by those without GPU programming experience…

High Energy Physics - Lattice · Physics 2011-02-16 Richard Galvez , Greg van Anders

We introduce a GPU-accelerated implementation of time-dependent density functional theory with the minimal auxiliary basis approach (TDDFT-risp) in GPU4PySCF, together with large system demonstrations carried out using the Tamm--Dancoff…

Chemical Physics · Physics 2026-04-01 Zehao Zhou , Xiaojie Wu , Yanheng Li , Xinran Wei , Cheng Fan , Fusong Ju , Qiming Sun , Yi Qin Gao

This work presents an updated and extended guide on methods of a proper acceleration of the Monte Carlo integration of stochastic differential equations with the commonly available NVIDIA Graphics Processing Units using the CUDA programming…

Computational Physics · Physics 2015-04-23 J. Spiechowicz , M. Kostur , L. Machura

The impending termination of Moore's law motivates the search for new forms of computing to continue the performance scaling we have grown accustomed to. Among the many emerging Post-Moore computing candidates, perhaps none is as salient as…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-03 Martin Karp , Artur Podobas , Tobias Kenter , Niclas Jansson , Christian Plessl , Philipp Schlatter , Stefano Markidis

3D intelligence leverages rich 3D features and stands as a promising frontier in AI, with 3D rendering fundamental to many downstream applications. 3D Gaussian Splatting (3DGS), an emerging high-quality 3D rendering method, requires…

Graphics · Computer Science 2025-04-14 Sixu Li , Ben Keller , Yingyan Celine Lin , Brucek Khailany

In this paper, we explore how numerical calculations can be accelerated by implementing several numerical methods of fractional-order systems using parallel computing techniques. We investigate the feasibility of parallel computing…

Dynamical Systems · Mathematics 2016-11-29 A. Baban , C. Bonchiş , A. Fikl , F. Roşu

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

Optimization and Control · Mathematics 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

Meshfree methods based on radial basis function (RBF) approximation are of interest for numerical solution of partial differential equations (PDEs) because they are flexible with respect to the geometry of the computational domain, they can…

Numerical Analysis · Mathematics 2017-05-17 Ali Safdari-Vaighani , Elisabeth Larsson , Alfa Heryudono

Fast Fourier Transform (FFT)-based solvers for the Poisson equation are highly efficient, exhibiting $O(N\log N)$ computational complexity and excellent parallelism. However, their application is typically restricted to simple, regular…

Numerical Analysis · Mathematics 2025-09-30 Zichao Jiang , Jiacheng Lian , Zhuolin Wang