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As is intrinsic to the fundamental goal of quantum computing, classical simulation of quantum algorithms is notoriously demanding in resource requirements. Nonetheless, simulation is critical to the success of the field and a requirement…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 W. Michael Brown , Anurag Ramesh , Thomas Lubinski , Thien Nguyen , David E. Bernal Neira

This paper presents a Graphics Processing Units (GPUs) implementation of the Semiclassical Initial Value Representation (SC-IVR) propagator for vibrational molecular spectroscopy calculations. The time-averaging formulation of the SC-IVR…

Computational Physics · Physics 2014-05-09 Dario Tamascelli , Francesco S. Dambrosio , Riccardo Conte , Michele Ceotto

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

Particle tracking simulations with space charge effects are very important for high-intensity proton rings. Since they include not only Hamilton mechanics of a single particle but constructing charge densities and solving Poisson equations…

Accelerator Physics · Physics 2021-09-01 Yoshinori Kurimoto

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

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

Modern graphics hardware is designed for highly parallel numerical tasks and promises significant cost and performance benefits for many scientific applications. One such application is lattice quantum chromodyamics (lattice QCD), where the…

High Energy Physics - Lattice · Physics 2010-12-06 M. A. Clark , R. Babich , K. Barros , R. C. Brower , C. Rebbi

The risk of reinsurance portfolios covering globally occurring natural catastrophes, such as earthquakes and hurricanes, is quantified by employing simulations. These simulations are computationally intensive and require large amounts of…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-04 Blesson Varghese

The implementation of Molecular Dynamics (MD) on FPGAs has received substantial attention. Previous work, however, has consisted of either proof-of-concept implementations of components, usually the range-limited force; full systems, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-15 Chen Yang , Tong Geng , Tianqi Wang , Rushi Patel , Qingqing Xiong , Ahmed Sanaullah , Jiayi Sheng , Charles Lin , Vipin Sachdeva , Woody Sherman , Martin C. Herbordt

Intelligence Processing Units (IPU) have proven useful for many AI applications. In this paper, we evaluate them within the emerging field of \emph{AI for simulation}, where traditional numerical simulations are supported by artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-04 P. Rosciszewski , A. Krzywaniak , S. Iserte , K. Rojek , P. Gepner

The entropy-stable discontinuous Galerkin method for compressible Euler equations with buoyancy is implemented on graphics processing unit (GPU) hardware. We measure the performance of the solver on three-dimensional problems: the rising…

Numerical Analysis · Mathematics 2026-05-19 Henry Waterhouse , Maciej Waruszewski , Lucas C. Wilcox , Francis X. Giraldo

We created an efficient algorithm suitable for graphics processing units (GPUs) to perform Monte Carlo simulations of a subset of reaction-diffusion models. The algorithm uses techniques that are specific to GPU programming, and combines…

Computational Physics · Physics 2013-03-06 R. D. Schram

As heterogeneous supercomputing architectures leveraging GPUs become increasingly central to high-performance computing (HPC), it is crucial for computational fluid dynamics (CFD) simulations, a de-facto HPC workload, to efficiently utilize…

We develop a highly optimized code for simulating the Edwards-Anderson Heisenberg model on graphics processing units (GPUs). Using a number of computational tricks such as tiling, data compression and appropriate memory layouts, the…

Computational Physics · Physics 2012-08-30 Taras Yavors'kii , Martin Weigel

Linear Programming (LP) is a foundational optimization technique with widespread applications in finance, energy trading, and supply chain logistics. However, traditional Central Processing Unit (CPU)-based LP solvers often struggle to meet…

Optimization and Control · Mathematics 2025-08-26 Xiyan Hu , Titus Parker , Connor Phillips , Yifa Yu

This paper presents the RBG-Maxwell framework, a relativistic collisional plasma simulator on GPUs. We provide detailed discussions on the fundamental equations, numerical algorithms, implementation specifics, and key testing outcomes. The…

Plasma Physics · Physics 2023-08-10 Ming-Yan Sun , Peng Xu , Jun-Jie Zhang , Qun Wang , Tai-Jiao Du , Jian-Guo Wang

General Purpose Graphics Processing Unit (GPGPU) computing plays a transformative role in deep learning and machine learning by leveraging the computational advantages of parallel processing. Through the power of Compute Unified Device…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ming Li , Ziqian Bi , Tianyang Wang , Yizhu Wen , Qian Niu , Xinyuan Song , Zekun Jiang , Junyu Liu , Benji Peng , Sen Zhang , Xuanhe Pan , Jiawei Xu , Jinlang Wang , Keyu Chen , Caitlyn Heqi Yin , Pohsun Feng , Ming Liu

Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as \emph{polytopic}) elements have received considerable attention in recent years. Due to the physical frame basis functions…

Numerical Analysis · Mathematics 2021-02-16 Zhaonan Dong , Emmanuil H. Georgoulis , Thomas Kappas

Analysis of processing time and similarity of images generated between CPU and GPU architectures and sequential and parallel programming. For image processing a computer with AMD FX-8350 processor and an Nvidia GTX 960 Maxwell GPU was used,…

Simulating quantum field theories on a quantum computer is one of the most exciting fundamental physics applications of quantum information science. Dynamical time evolution of quantum fields is a challenge that is beyond the capabilities…

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