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Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

Quantum computers have the potential to efficiently solve a system of nonlinear ordinary differential equations (ODEs), which play a crucial role in various industries and scientific fields. However, it remains unclear which system of…

Quantum Physics · Physics 2025-04-07 Yu Tanaka , Keisuke Fujii

The main goal in many fields in the empirical sciences is to discover causal relationships among a set of variables from observational data. PC algorithm is one of the promising solutions to learn underlying causal structure by performing a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Behrooz Zarebavani , Foad Jafarinejad , Matin Hashemi , Saber Salehkaleybar

We are interested in solving linear systems arising from three applications: (1) kernel methods in machine learning, (2) discretization of boundary integral equations from mathematical physics, and (3) Schur complements formed in the…

Numerical Analysis · Mathematics 2022-08-15 Chao Chen , Per-Gunnar Martinsson

This paper is an attempt to remedy the problem of slow convergence for first-order numerical algorithms by proposing an adaptive conditioning heuristic. First, we propose a parallelizable numerical algorithm that is capable of solving…

Optimization and Control · Mathematics 2021-03-02 Muhammad Adil , Sasan Tavakkol , Ramtin Madani

Earth system models (ESM) demand significant hardware resources and energy consumption to solve atmospheric chemistry processes. Recent studies have shown improved performance from running these models on GPU accelerators. Nonetheless,…

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

There is growing interest in accelerating irregular data-parallel algorithms on GPUs. These algorithms are typically blocking, so they require fair scheduling. But GPU programming models (e.g.\ OpenCL) do not mandate fair scheduling, and…

Programming Languages · Computer Science 2017-07-10 Tyler Sorensen , Hugues Evrard , Alastair F. Donaldson

To address the challenge of performance portability, and facilitate the implementation of electronic structure solvers, we developed the Basic Matrix Library (BML) and Parallel, Rapid O(N) and Graph-based Recursive Electronic Structure…

The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic…

Computational Physics · Physics 2018-07-04 Jen-Hao Chen , Ren-Chuen Chen , Jinn-Liang Liu

Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by a restricted type of linear differential equations. Here we extend quantum simulation algorithms…

Quantum Physics · Physics 2014-02-21 Dominic W. Berry

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

The actor model of computation has been designed for a seamless support of concurrency and distribution. However, it remains unspecific about data parallel program flows, while available processing power of modern many core hardware such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-16 Raphael Hiesgen , Dominik Charousset , Thomas C. Schmidt

The M series of chips produced by Apple have proven a capable and power-efficient alternative to mainstream Intel and AMD x86 processors for everyday tasks. Additionally, the unified design integrating the central processing and graphics…

Computational Physics · Physics 2023-10-05 Lars Gebraad , Andreas Fichtner

Numerical solutions of hyperbolic partial differential equations(PDEs) are ubiquitous in science and engineering. Method of lines is a popular approach to discretize PDEs defined in spacetime, where space and time are discretized…

Mathematical Software · Computer Science 2020-11-24 Milinda Fernando , Hari Sundar

In this article, we introduce a novel parallel-in-time solver for nonlinear ordinary differential equations (ODEs). We state the numerical solution of an ODE as a root-finding problem that we solve using Newton's method. The affine…

Numerical Analysis · Mathematics 2025-11-04 Casian Iacob , Hassan Razavi , Simo Särkkä

This paper presents the GPU porting through OpenACC directives of the Dutch Atmospheric Large-Eddy Simulation (DALES) application, a high-resolution atmospheric model. The code is written in Fortran~90 and features parallel (distributed)…

Computational Engineering, Finance, and Science · Computer Science 2025-03-03 Lucas Esclapez , Laurent Soucasse , Caspar Jungbacker , Fredrik Jansson , Stephan R. de Roode , Pedro Costa , Gijs van den Oord , Alessio Sclocco

Introduction: Decompilers are useful tools for software analysis and support in the absence of source code. They are available for many hardware architectures and programming languages. However, none of the existing decompilers support…

Programming Languages · Computer Science 2021-07-19 K. I. Mihajlenko , M. A. Lukin , A. S. Stankevich

The performance of discrete general purpose graphics processing units (GPGPUs) has been improving at a rapid pace. The PCIe interconnect that controls the communication of data between the system host memory and the GPU has not improved as…

Computational Physics · Physics 2019-05-15 Connor Kenyon , Glenn Volkema , Gaurav Khanna

We introduce SparkCL, an open source unified programming framework based on Java, OpenCL and the Apache Spark framework. The motivation behind this work is to bring unconventional compute cores such as FPGAs/GPUs/APUs/DSPs and future core…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-06 Oren Segal , Philip Colangelo , Nasibeh Nasiri , Zhuo Qian , Martin Margala