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Fast Multipole Methods (FMM) are a fundamental operation for the simulation of many physical problems. The high performance design of such methods usually requires to carefully tune the algorithm for both the targeted physics and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Emmanuel Agullo , Béranger Bramas , Olivier Coulaud , Eric Darve , Matthias Messner , Takahashi Toru

This paper introduces a random-batch molecular dynamics (RBMD) package for fast simulations of particle systems at the nano/micro scale. Different from existing packages, the RBMD uses random batch methods for nonbonded interactions of…

Computational Physics · Physics 2025-11-11 Weihang Gao , Teng Zhao , Yongfa Guo , Jiuyang Liang , Huan Liu , Maoying Luo , Zedong Luo , Wei Qin , Yichao Wang , Qi Zhou , Shi Jin , Zhenli Xu

Reactive molecular dynamics simulations are computationally demanding. Reaching spatial and temporal scales where interesting scientific phenomena can be observed requires efficient and scalable implementations on modern hardware. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-26 Hasan Metin Aktulga , Christopher Knight , Paul Coffman , Kurt A. O'Hearn , Tzu-Ray Shan , Wei Jiang

We present teraflop-scale calculations of biomolecular electrostatics enabled by the combination of algorithmic and hardware acceleration. The algorithmic acceleration is achieved with the fast multipole method (FMM) in conjunction with a…

Computational Engineering, Finance, and Science · Computer Science 2011-09-21 Rio Yokota , Jaydeep P. Bardhan , Matthew G. Knepley , L. A. Barba , Tsuyoshi Hamada

Generative models have emerged as a powerful paradigm for solving physics systems and modeling complex spatiotemporal dynamics. However, achieving high physical accuracy without incurring high computational cost remains a fundamental…

Machine Learning · Computer Science 2026-05-27 Jiahe Huang , Sihan Xu , Sharvaree Vadgama , Rose Yu

Fast algorithms for the computation of $N$-body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last class belongs the well-known fast multipole method (FMM),…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Felipe A. Cruz , Matthew G. Knepley , L. A. Barba

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

Exascale systems are predicted to have approximately one billion cores, assuming Gigahertz cores. Limitations on affordable network topologies for distributed memory systems of such massive scale bring new challenges to the current parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-27 Huda Ibeid , Rio Yokota , David Keyes

Among the algorithms that are likely to play a major role in future exascale computing, the fast multipole method (FMM) appears as a rising star. Our previous recent work showed scaling of an FMM on GPU clusters, with problem sizes in the…

Numerical Analysis · Computer Science 2012-10-30 Rio Yokota , Lorena Barba

We present GridFF, an efficient method for simulating molecules on rigid substrates, derived from techniques used in protein-ligand docking in biochemistry. By projecting molecule-substrate interactions onto precomputed spatial grids with…

Chemical Physics · Physics 2025-08-22 Indranil Mal , Milan Kočí , Paolo Nicolini , Prokop Hapala

Developing an efficient code for large, multiscale astrophysical simulations is crucial in preparing the upcoming era of exascale computing. RAMSES is an astrophysical simulation code that employs parallel processing based on the Message…

Instrumentation and Methods for Astrophysics · Physics 2024-11-25 San Han , Yohan Dubois , Jaehyun Lee , Juhan Kim , Corentin Cadiou , Sukyoung K. Yi

The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of…

Data Structures and Algorithms · Computer Science 2011-09-21 Felipe A. Cruz , L. A. Barba

We propose a new method for molecular dynamics and Monte Carlo simulations, which is referred to as the replica-permutation method (RPM), to realize more efficient sampling than the replica-exchange method (REM).In RPM not only exchanges…

Statistical Mechanics · Physics 2012-10-25 Satoru G. Itoh , Hisashi Okumura

In this work, the fast-convolving reproducing kernel particle method (FC-RKPM) is introduced. This method is hundreds to millions of times faster than the traditional RKPM for 3D meshfree simulations. In this approach, the meshfree…

Numerical Analysis · Mathematics 2024-04-01 Siavash Jafarzadeh , Michael Hillman

Universal machine-learning interatomic potentials (uMLIPs) enable reactive molecular simulations with near-DFT accuracy, yet applying them efficiently to large, realistic condensed-phase systems remains computationally demanding. Here we…

Materials Science · Physics 2026-03-25 Yu Miyazaki , Atsuhiro Tomita , Akihide Hayashi , So Takamoto , Mizuki Takemoto , Hodaka Mori

The approximate computation of all gravitational forces between $N$ interacting particles via the fast multipole method (FMM) can be made as accurate as direct summation, but requires less than $\mathcal{O}(N)$ operations. FMM groups…

Instrumentation and Methods for Astrophysics · Physics 2014-05-12 Walter Dehnen

We present an updated version of the AFMPB package for fast calculation of molecular solvation-free energy. The main feature of the new version is the successful adoption of the DASHMM library, which enables AFMPB to operate on distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-18 B. Zhang , J. DeBuhr , D. Niedzielski , S. Mayolo , B. Lu , T. Sterling

When solving compressible multi-material flow problems, an unresolved challenge is the computation of advective fluxes across material interfaces that separate drastically different thermodynamic states and relations. A popular idea in this…

Computational Physics · Physics 2023-09-15 Wentao Ma , Xuning Zhao , Shafquat Islam , Aditya Narkhede , Kevin Wang

Recent results on supercomputers show that beyond 65K cores, the efficiency of molecular dynamics simulations of interfacial systems decreases significantly. In this paper, we introduce a dynamic cutoff method (DCM) for interfacial systems…

Computational Physics · Physics 2017-01-23 Paul Springer , Ahmed E. Ismail , Paolo Bientinesi

We introduce ppsim, a software package for efficiently simulating population protocols, a widely-studied subclass of chemical reaction networks (CRNs) in which all reactions have two reactants and two products. Each step in the dynamics…

Data Structures and Algorithms · Computer Science 2021-07-05 David Doty , Eric Severson
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