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These lecture notes are designed to accompany an imaginary, virtual, undergraduate, one or two semester course on fundamentals of Parallel Computing as well as to serve as background and reference for graduate courses on High-Performance…

分布式、并行与集群计算 · 计算机科学 2025-10-02 Jesper Larsson Träff

For computational acoustics, schemes need to have low-dispersion and low-dissipation properties in order to capture the amplitude and phase of the wave correctly. To improve the spectral properties of the scheme, the authors have previously…

计算物理 · 物理学 2021-11-15 Y. H. Li , Y. X. Ren , Y. T. Su

We propose and analyze a non-iterative domain decomposition integrator for the linear acoustic wave equation. The core idea is to combine an implicit Crank-Nicolson step on spatial subdomains with a local prediction step at the subdomain…

数值分析 · 数学 2026-04-10 Tim Buchholz , Marlis Hochbruck

We present a hybrid continuum-atomistic scheme which combines molecular dynamics (MD) simulations with on-the-fly machine learning techniques for the accurate and efficient prediction of multiscale fluidic systems. By using a Gaussian…

流体动力学 · 物理学 2016-03-16 David Stephenson , James R Kermode , Duncan A Lockerby

Quantum processing units (QPUs) executing annealing algorithms have shown promise in optimization and simulation applications. Hybrid algorithms are a natural bridge to additional applications of larger scale. We present a straightforward…

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

机器人学 · 计算机科学 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

Purpose: Optoacoustic tomography (OAT) is inherently a three-dimensional (3D) inverse problem. However, most studies of OAT image reconstruction still employ two-dimensional (2D) imaging models. One important reason is because 3D image…

This paper covers the fast solution of large acoustic problems on low-resources parallel platforms. A domain decomposition method is coupled with a dynamic load balancing scheme to efficiently accelerate a geometrical acoustic method. The…

计算物理 · 物理学 2019-12-10 Guillaume Gbikpi-Benissan , Frederic Magoules

State-of-the-art noisy intermediate-scale quantum devices (NISQ), although imperfect, enable computational tasks that are manifestly beyond the capabilities of modern classical supercomputers. However, present quantum computations are…

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

分布式、并行与集群计算 · 计算机科学 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

In this paper, we consider numerical homogenization of acoustic wave equations with heterogeneous coefficients, namely, when the bulk modulus and the density of the medium are only bounded. We show that under a Cordes type condition the…

数值分析 · 数学 2008-05-05 Houman Owhadi , Lei Zhang

In the present paper we consider a 2-D shallow-water equations (SWE) model on a $\beta$-plane solved using an alternating direction fully implicit (ADI) finite-difference scheme on a rectangular domain. The scheme was shown to be…

计算物理 · 物理学 2015-06-12 Razvan Stefanescu , Ionel Michael Navon

Stochastic simulation methods can be applied successfully to model exact spatio-temporally resolved reaction-diffusion systems. However, in many cases, these methods can quickly become extremely computationally intensive with increasing…

定量方法 · 定量生物学 2016-04-29 Jonathan U. Harrison , Christian A. Yates

Linear programming (LP) relaxation is a standard technique for solving hard combinatorial optimization (CO) problems. Here we present a gradient descent algorithm which exploits the special structure of some LP relaxations induced by CO…

最优化与控制 · 数学 2020-11-17 Alexey Antonov

The task of integrating a large number of independent ODE systems arises in various scientific and engineering areas. For nonstiff systems, common explicit integration algorithms can be used on GPUs, where individual GPU threads…

数学软件 · 计算机科学 2016-11-09 Kyle E Niemeyer , Chih-Jen Sung

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

斑图形成与孤子 · 物理学 2009-11-07 P. M. Lushnikov

Dynamic optimization is currently limited by sensitivity computations that require information from full forward and adjoint wave fields. Since the forward and adjoint solutions are computed in opposing time directions, the forward solution…

计算工程、金融与科学 · 计算机科学 2025-09-22 Leon Herrmann , Tim Bürchner , László Kudela , Stefan Kollmannsberger

In the noisy primitives model, each primitive comparison performed by an algorithm, e.g., testing whether one value is greater than another, returns the incorrect answer with random, independent probability p < 1/2 and otherwise returns a…

计算几何 · 计算机科学 2026-02-13 Michael T. Goodrich , Vinesh Sridhar

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…

动力系统 · 数学 2016-11-29 A. Baban , C. Bonchiş , A. Fikl , F. Roşu

Parallel Quantum Annealing is a technique to solve multiple optimization problems simultaneously. Parallel quantum annealing aims to optimize the utilization of available qubits on a quantum topology by addressing multiple independent…

量子物理 · 物理学 2024-03-12 Arit Kumar Bishwas , Anuraj Som , Saurabh Choudhary
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