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In this work we propose a new numerical approach to distinguish between regular and chaotic orbits in Hamiltonian systems, based on the simultaneous integration of both the orbit and the deviation vectors using a symplectic scheme, hereby…

Chaotic Dynamics · Physics 2015-03-17 Anne-Sophie Libert , Charles Hubaux , Timoteo Carletti

We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

Typical biomolecular systems such as cellular membranes, DNA, and protein complexes are highly charged. Thus, efficient and accurate treatment of electrostatic interactions is of great importance in computational modelling of such systems.…

Soft Condensed Matter · Physics 2007-05-23 Michael Patra , Marja T. Hyvonen , Emma Falck , Mohsen Sabouri-Ghomi , Ilpo Vattulainen , Mikko Karttunen

We study parallel particle-in-cell (PIC) methods for low-temperature plasmas (LTPs), which discretize kinetic formulations that capture the time evolution of the probability density function of particles as a function of position and…

Computational Engineering, Finance, and Science · Computer Science 2025-08-12 James Almgren-Bell , Nader Al Awar , Dilip S Geethakrishnan , Milos Gligoric , George Biros

With large-scale Integral Field Spectroscopy (IFS) surveys of thousands of galaxies currently under-way or planned, the astronomical community is in need of methods, techniques and tools that will allow the analysis of huge amounts of data.…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Georgios Bekiaris , Karl Glazebrook , Christopher J. Fluke , Roberto Abraham

The graphics processing unit (GPU) has emerged as a powerful and cost effective processor for general performance computing. GPUs are capable of an order of magnitude more floating-point operations per second as compared to modern central…

Computation · Statistics 2012-07-24 Mark Franey , Pritam Ranjan , Hugh Chipman

Classical molecular dynamics (MD) simulations are important tools in life and material sciences since they allow studying chemical and biological processes in detail. However, the inherent scalability problem of particle-particle…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Michael Schaffner , Luca Benini

The use of graphics processing units for scientific computations is an emerging strategy that can significantly speed up various different algorithms. In this review, we discuss advances made in the field of computational physics, focusing…

Computational Physics · Physics 2013-03-07 Ari Harju , Topi Siro , Filippo Federici-Canova , Samuli Hakala , Teemu Rantalaiho

In recent years graphical processing units (GPUs) have become a powerful tool in scientific computing. Their potential to speed up highly parallel applications brings the power of high performance computing to a wider range of users.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-26 Uldis Locans , Andreas Adelmann , Andreas Suter , Jannis Fischer , Werner Lustermann , Gunther Dissertori , Qiulin Wang

A new approach is developed to integrate numerically the equations of motion for systems of interacting rigid polyatomic molecules. With the aid of a leapfrog framework, we directly involve principal angular velocities into the integration,…

Computational Physics · Physics 2007-05-23 Igor P. Omelyan

Time-reversible symplectic methods, which are precisely compatible with Liouville's phase-volume-conservation theorem, are often recommended for computational simulations of Hamiltonian mechanics. Lack of energy drift is an apparent…

Chaotic Dynamics · Physics 2015-10-20 William Graham Hoover , Carol Griswold Hoover

One of application that needs high performance computing resources is molecular d ynamic. There is some software available that perform molecular dynamic, one of these is a well known GROMACS. Our previous experiment simulating molecular…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-17 Heru Suhartanto , Arry Yanuar , Ari Wibisono

We present a novel hierarchical formulation of the fourth-order forward symplectic integrator and its numerical implementation in the GPU-accelerated direct-summation N-body code FROST. The new integrator is especially suitable for…

Instrumentation and Methods for Astrophysics · Physics 2021-03-12 Antti Rantala , Thorsten Naab , Volker Springel

We investigate the performance gains from hyper-systolic implementations of n^2-loop problems on the massively parallel computer Quadrics, exploiting its 3-dimensional interprocessor connectivity. For illustration we study the communication…

High Energy Physics - Lattice · Physics 2015-06-25 Th. Lippert , G. Ritzenhöfer , U. Glässner , H. Hoeber , A. Seyfried , K. Schilling

Molecular dynamics simulations can generate atomically detailed trajectories of complex systems, but analyzing these dynamics can be challenging when systems lack well-established quantitative descriptors (features). Graph neural networks…

Machine Learning · Computer Science 2025-12-09 Zihan Pengmei , Spencer C. Guo , Chatipat Lorpaiboon , Aaron R. Dinner

We describe an open source GPU implementation of a hybrid symplectic N-body integrator, GENGA (Gravitational ENcounters with Gpu Acceleration), designed to integrate planet and planetesimal dynamics in the late stage of planet formation and…

Earth and Planetary Astrophysics · Physics 2014-11-06 Simon L. Grimm , Joachim G. Stadel

As high energy physics experiments reach higher luminosities and intensities, the computing burden for real time data processing and reduction grows. Following the developments in the computing landscape, multi-core processors such as…

Instrumentation and Detectors · Physics 2020-08-26 Dorothea vom Bruch

We investigate the performance of various methods of symplectic integration, which are based on two part splitting of the integration operator, for the numerical integration of multidimensional Hamiltonian systems. We implement these…

Dynamical Systems · Mathematics 2017-03-07 Bob Senyange

Design considerations for molecular dynamics algorithms capable of taking advantage of the computational power of a graphics processing unit (GPU) are described. Accommodating the constraints of scalable streaming-multiprocessor hardware…

Computational Physics · Physics 2011-01-27 D. C. Rapaport

The LHC experiments are designed to detect large amount of physics events produced with a very high rate. Considering the future upgrades, the data acquisition rate will become even higher and new computing paradigms must be adopted for…