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We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial value problems. The scheme is applied to the shallow-water…

Computational Engineering, Finance, and Science · Computer Science 2026-03-04 Philip Freese , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Martin Schreiber

As more and more multiphysics effects are entering the field of CFD simulations, this raises the question how they can be accurately captured in gradient computations for shape optimization. The latter has been successfully enriched over…

Computational Physics · Physics 2018-11-02 Ole Burghardt , Nicolas R. Gauger

We present a general and automated approach for computing model gradients for PDE solvers built on sparse spectral methods, and implement this capability in the widely used open-source Dedalus framework. We apply reverse-mode automatic…

Numerical Analysis · Mathematics 2026-04-15 Calum S. Skene , Keaton J. Burns

We propose a parallel constructive interference (CI)-based symbol-level precoding (SLP) approach for massive connectivity in the downlink of multiuser multiple-input single-output (MU-MISO) systems, with only local channel state information…

Information Theory · Computer Science 2022-09-27 Junwen Yang , Ang Li , Xuewen Liao , Christos Masouros

Sensitivity analysis plays an important role in searching for constitutive parameters (e.g. permeability) subsurface flow simulations. The mathematics behind is to solve a dynamic constrained optimization problem. Traditional methods like…

Computational Physics · Physics 2019-06-05 Shu Wang , Satish Karra , Daniel O'Malley

MPI+Threads, embodied by the MPI/OpenMP hybrid programming model, is a parallel programming paradigm where threads are used for on-node shared-memory parallelization and MPI is used for multi-node distributed-memory parallelization. OpenMP…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Hui Zhou , Ken Raffenetti , Junchao Zhang , Yanfei Guo , Rajeev Thakur

Numerically solving ordinary differential equations (ODEs) is a naturally serial process and as a result the vast majority of ODE solver software are serial. In this manuscript we developed a set of parallelized ODE solvers using…

Numerical Analysis · Mathematics 2022-09-13 Utkarsh , Chris Elrod , Yingbo Ma , Christopher Rackauckas

Concurrently coupled numerical simulations using heterogeneous solvers are powerful tools for modeling multiscale phenomena. However, major modifications to existing codes are often required to enable such simulations, posing significant…

Computational Physics · Physics 2015-05-18 Yu-Hang Tang , Shuhei Kudo , Xin Bian , Zhen Li , George E. Karniadakis

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

Hybrid MPI+threads programming is gaining prominence, but, in practice, applications perform slower with it compared to the MPI everywhere model. The most critical challenge to the parallel efficiency of MPI+threads applications is slow…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-30 Rohit Zambre , Aparna Chandramowlishwaran

There are several AD tools available, which all implement different strategies for the reverse mode of AD. The major strategies are primal value taping (implemented e.g. by ADOL-c) and Jacobi taping (implemented e.g. by adept and dco/c++).…

Mathematical Software · Computer Science 2017-09-22 Max Sagebaum , Tim Albring , Nicolas R. Gauger

Computationally-intensive loops are the primary source of parallelism in scientific applications. Such loops are often irregular and a balanced execution of their loop iterations is critical for achieving high performance. However, several…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-25 Ahmed Eleliemy , Florina M. Ciorba

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

This article presents the parallel implementation of the coupled harmonic oscillator. From the analytical solution of the coupled harmonic oscillator, the design parameters are obtained. After that, a numerical integration of the system…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-09 Anas M. Al-Oraiqat

In the present paper we propose a novel convergence analysis of the Alternating Direction Methods of Multipliers (ADMM), based on its equivalence with the overrelaxed Primal-Dual Hybrid Gradient (oPDHG) algorithm. We consider the smooth…

Optimization and Control · Mathematics 2017-01-19 Pauline Tan

The paper proposes a combination of the subdomain deflation method and local algebraic multigrid as a scalable distributed memory preconditioner that is able to solve large linear systems of equations. The implementation of the algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-31 Denis Demidov , Riccardo Rossi

Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise in biology, medicine, chemistry and many other fields. In this paper we discuss an extension to the…

Numerical Analysis · Mathematics 2017-08-28 Patrick E. Farrell , Johan E. Hake , Simon W. Funke , Marie E. Rognes

A trend in high performance computers that is becoming increasingly popular is the use of symmetric multiprocessing (SMP) rather than the older paradigm of MPP. MPI codes that ran and scaled well on MPP machines can often be run on an SMP…

High Energy Physics - Lattice · Physics 2009-10-31 Steven Gottlieb , Sonali Tamhankar

In advancing parallel programming, particularly with OpenMP, the shift towards NLP-based methods marks a significant innovation beyond traditional S2S tools like Autopar and Cetus. These NLP approaches train on extensive datasets of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-07 Weidong Wang , Haoran Zhu

Existing Deep Learning frameworks exclusively use either Parameter Server(PS) approach or MPI parallelism. In this paper, we discuss the drawbacks of such approaches and propose a generic framework supporting both PS and MPI programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-12 Amith R Mamidala , Georgios Kollias , Chris Ward , Fausto Artico