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In this work, we study the convergence and performance of nonlinear solvers for the Bidomain equations after decoupling the ordinary and partial differential equations of the cardiac system. Firstly, we provide a rigorous proof of the…

Lattice Boltzmann method models offer a novel framework for the simulation of high Reynolds number dilute gravity currents. The numerical algorithm is well suited to acceleration via implementation on massively parallel computer…

We present a GPU implementation of LAMMPS, a widely-used parallel molecular dynamics (MD) software package, and show 5x to 13x single node speedups versus the CPU-only version of LAMMPS. This new CUDA package for LAMMPS also enables…

材料科学 · 物理学 2011-03-08 Christian R. Trott , Lars Winterfeld , Paul S. Crozier

Low-dose Proton Computed Tomography (pCT) is an evolving imaging modality that is used in proton therapy planning which addresses the range uncertainty problem. The goal of pCT is generating a 3D map of Relative Stopping Power (RSP)…

Graphics processing units have been extensively used to accelerate classical molecular dynamics simulations. However, there is much less progress on the acceleration of force evaluations for many-body potentials compared to pairwise ones.…

计算物理 · 物理学 2017-06-27 Zheyong Fan , Wei Chen , Ville Vierimaa , Ari Harju

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…

计算物理 · 物理学 2018-07-04 Jen-Hao Chen , Ren-Chuen Chen , Jinn-Liang Liu

Persistent homology is perhaps the most popular and useful tool offered by topological data analysis, with point-cloud data being the most common setup. Its older cousin, the Euler characteristic curve (ECC) is less expressive, but far…

计算几何 · 计算机科学 2023-03-07 Fan Wang , Hubert Wagner , Chao Chen

Hardware accelerators (such as Nvidia's CUDA GPUs) have tremendous promise for computational science, because they can deliver large gains in performance at relatively low cost. In this work, we focus on the use of Nvidia's Tesla GPU for…

计算物理 · 物理学 2010-06-04 Rakesh Ginjupalli , Gaurav Khanna

Many important real-world applications, such as System Identification with Gaussian Processes, involve solving linear systems with symmetric positive-definite matrices. The iterative CG method and direct solvers based on the Cholesky…

分布式、并行与集群计算 · 计算机科学 2026-05-14 Tim Thüring , Alexander Strack , Dirk Pflüger

With the advent of high-performance computing techniques, the data for analysis has grown significantly. Here, graphic processing unit (GPU) based program kernels are discussed to exploit parallelism in the analysis codes specific to…

计算物理 · 物理学 2018-11-07 Gourav Shrivastav , Manish Agarwal

A principally novel approach towards solving the few-particle (many-dimensional) quantum scattering problems is described. The approach is based on a complete discretization of few-particle continuum and usage of massively parallel…

计算物理 · 物理学 2016-06-22 V. N. Pomerantsev , V. I. Kukulin , O. A. Rubtsova , S. K. Sakhiev

In recent years, it has become increasingly common for high performance computers (HPC) to possess some level of heterogeneous architecture - typically in the form of GPU accelerators. In some machines these are isolated within a dedicated…

分布式、并行与集群计算 · 计算机科学 2022-10-19 I. Zacharoudiou , J. W. S. McCullough , P. V. Coveney

We report numerical results on solving constrained linear-quadratic model predictive control (MPC) problems by exploiting graphics processing units (GPUs). The presented method reduces the MPC problem by eliminating the state variables and…

最优化与控制 · 数学 2026-05-11 David Cole , Sungho Shin , François Pacaud , Victor M. Zavala , Mihai Anitescu

In this paper, we develop a low-order three-dimensional finite-element solver for fast multiple-case crust deformation analysis on GPU-based systems. Based on a high-performance solver designed for massively parallel CPU based systems, we…

分布式、并行与集群计算 · 计算机科学 2017-10-25 Takuma Yamaguchi , Kohei Fujita , Tsuyoshi Ichimura , Muneo Hori , Maddegedara Lalith , Kengo Nakajima

The parallel simulation of Spiking Neural P systems is mainly based on a matrix representation, where the graph inherent to the neural model is encoded in an adjacency matrix. The simulation algorithm is based on a matrix-vector…

分布式、并行与集群计算 · 计算机科学 2024-08-09 Javier Hernández-Tello , Miguel Ángel Martínez-del-Amor , David Orellana-Martín , Francis George C. Cabarle

Numerical continuation methods track a solution path defined by a homotopy. The systems we consider are defined by polynomials in several variables with complex coefficients. For larger dimensions and degrees, the numerical conditioning…

数学软件 · 计算机科学 2015-06-15 Jan Verschelde , Xiangcheng Yu

The cryosphere plays a significant role in Earth's climate system. Therefore, an accurate simulation of sea ice is of great importance to improve climate projections. To enable higher resolution simulations, graphics processing units (GPUs)…

分布式、并行与集群计算 · 计算机科学 2024-02-29 Robert Jendersie , Christian Lessig , Thomas Richter

In this era of diverse and heterogeneous computer architectures, the programmability issues, such as productivity and portable efficiency, are crucial to software development and algorithm design. One way to approach the problem is to step…

数学软件 · 计算机科学 2012-07-10 Mauro Bianco , Ugo Varetto

In recent years the more and more powerful GPU's available on the PC market have attracted attention as a cost effective solution for parallel (SIMD) computing. CUDA is a solid evidence of the attention that the major companies are devoting…

高能物理 - 格点 · 物理学 2010-01-21 Viola Anselmi , Giovanni Conti , Francesco Di Renzo

Much of the current focus in high performance computing (HPC) for computational fluid dynamics (CFD) deals with grid based methods. However, parallel implementations for new meshfree particle methods such as Smoothed Particle Hydrodynamics…

性能 · 计算机科学 2011-11-21 Jose M. Domínguez , Alejandro J. C. Crespo , Moncho Gómez-Gesteira
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