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Related papers: Path-accelerated molecular dynamics: Parallel-in-t…

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The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the underlying PDEs requires a very large number of time steps,…

Numerical Analysis · Mathematics 2020-01-03 Francois P. Hamon , Martin Schreiber , Michael L. Minion

In this paper, we propose a cost-reduced method for finite-temperature molecular dynamics on a near-term quantum computer, Quantum Car-Parrinello molecular dynamics (QCPMD). One of the most promising applications of near-term quantum…

Quantum Physics · Physics 2022-12-23 Kohdai Kuroiwa , Takahiro Ohkuma , Hirokazu Sato , Ryosuke Imai

We apply the multigrid-reduction-in-time (MGRIT) algorithm to an eddy current simulation of a two-dimensional induction machine supplied by a pulse-width-modulation signal. To resolve the fast-switching excitations, small time steps are…

Numerical Analysis · Mathematics 2020-06-30 Matthias Bolten , Stephanie Friedhoff , Jens Hahne , Sebastian Schöps

This paper proposes a general formulation for temporal parallelisation of dynamic programming for optimal control problems. We derive the elements and associative operators to be able to use parallel scans to solve these problems with…

Optimization and Control · Mathematics 2022-01-25 Simo Särkkä , Ángel F. García-Fernández

Path-integral molecular dynamics (PIMD) simulations are crucial for accurately capturing nuclear quantum effects in materials. However, their computational intensity and reliance on multiple software packages often limit their applicability…

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee

In molecular dynamics (MD), systems are molecules made up of atoms, and the aim is to determine their evolution over time. MD is based on a numerical resolution algorithm, whose role is to apply the forces generated by the various…

Statistical Mechanics · Physics 2024-10-16 Frédéric Boussinot

Accounting for nuclear quantum effects (NQEs) can significantly alter material properties at finite temperatures. Atomic modeling using the path-integral molecular dynamics (PIMD) method can fully account for such effects, but requires…

Materials Science · Physics 2025-05-21 A. A. Solovykh , N. E. Rybin , I. S. Novikov , A. V. Shapeev

The research interest in specialized hardware accelerators for deep neural networks (DNN) spikes recently owing to their superior performance and efficiency. However, today's DNN accelerators primarily focus on accelerating specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Cong Guo , Yangjie Zhou , Jingwen Leng , Yuhao Zhu , Zidong Du , Quan Chen , Chao Li , Bin Yao , Minyi Guo

Solving partial differential equations (PDEs) by numerical methods meet computational cost challenge for getting the accurate solution since fine grids and small time steps are required. Machine learning can accelerate this process, but…

Numerical Analysis · Mathematics 2025-01-28 Qi Wang , Yuan Mi , Haoyun Wang , Yi Zhang , Ruizhi Chengze , Hongsheng Liu , Ji-Rong Wen , Hao Sun

Parallel-in-time methods are developed to accelerate the direct-adjoint looping procedure. Particularly, we utilize the Paraexp algorithm, previously developed to integrate equations forward in time, to accelerate the direct-adjoint looping…

Optimization and Control · Mathematics 2021-03-17 Calum S. Skene , Maximilian F. Eggl , Peter J. Schmid

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-13 Javad Moshfegh , Dimitrios G. Makris , Marinos N. Vouvakis

We push the boundaries of electronic structure-based \textit{ab-initio} molecular dynamics (AIMD) beyond 100 million atoms. This scale is otherwise barely reachable with classical force-field methods or novel neural network and machine…

Large-scale molecular dynamics simulations with high accuracy have been increasingly popular for their capability to bridge the gap between atomistic modeling and mesoscale phenomena. Both machine learning potentials and enhanced sampling…

Computational Physics · Physics 2026-03-24 Haoting Zhang , Qiuhan Jia , Zhennan Zhang , Yijie Zhu , Zhongwei Zhang , Junjie Wang , Jiuyang Shi , Zheyong Fan , Jian Sun

We propose a hybrid deterministic and stochastic approach to achieve extended time scales in atomistic simulations that combines the strengths of molecular dynamics (MD) and Monte Carlo (MC) simulations in an easy-to-implement way. The…

Materials Science · Physics 2011-10-18 Pratyush Tiwary , Axel van de Walle

Methods for quantifying the effects of uncertainties in hyperbolic problems can be divided into intrusive and non-intrusive techniques. Non-intrusive methods allow the usage of a given deterministic solver in a black-box manner, while being…

Numerical Analysis · Mathematics 2020-08-26 Jonas Kusch , Jannick Wolters , Martin Frank

Several methods exist today to accelerate Machine Learning(ML) or Deep-Learning(DL) model performance for training and inference. However, modern techniques that rely on various graph and operator parallelism methodologies rely on search…

Machine Learning · Computer Science 2023-08-23 Srinjoy Das , Lawrence Rauchwerger

Molecular dynamics (MD) is a powerful tool for exploring the behavior of atomistic systems, but its reliance on sequential numerical integration limits simulation efficiency. We present a novel neural network architecture, MDtrajNet, and a…

Chemical Physics · Physics 2026-03-17 Fuchun Ge , Yuxinxin Chen , Pavlo O. Dral

We present a new time integrator for articulated body dynamics. We formulate the governing equations of the dynamics using only the position variables and recast the position-based articulated dynamics as an optimization problem. Our…

Robotics · Computer Science 2018-07-24 Zherong Pan , Dinesh Manocha

We propose a parareal based time parallelization scheme in the phase-space for the particle-in-Fourier (PIF) discretization of the Vlasov-Poisson system used in kinetic plasma simulations. We use PIF with a coarse tolerance for the…

Numerical Analysis · Mathematics 2025-06-17 Sriramkrishnan Muralikrishnan , Robert Speck