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A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization…

Machine Learning · Computer Science 2020-04-03 Ke Li , Kejun Tang , Tianfan Wu , Qifeng Liao

Molecular Dynamics (MD) codes predict the fundamental properties of matter by following the trajectories of a collection of interacting model particles. To exploit diverse modern manycore hardware, efficient codes must use all available…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 William R. Saunders , James Grant , Eike H. Müller

The simulation of large ensembles of particles is usually parallelized by partitioning the domain spatially and using message passing to communicate between the processes handling neighboring subdomains. The particles are represented as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-03 Sebastian Eibl , Ulrich Rüde

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 present PySCo, a fast and user-friendly Python library designed to run cosmological $N$-body simulations across various cosmological models, such as $\Lambda$CDM and $w_0w_a$CDM, and alternative theories of gravity, including $f(R)$,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-08 Michel-Andrès Breton

Modeling multi-scale collisionless magnetized processes constitutes an important numerical challenge. By treating electrons as a fluid and ions kinetically, the so-called hybrid Particle-In-Cell (PIC) codes represent a promising…

We present a new module of the parallel N-Body code P-GADGET3 for cosmological simulations of light bosonic non-thermal dark matter, often referred as Fuzzy Dark Matter (FDM). The dynamics of the FDM features a highly non-linear Quantum…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-06 M. Nori , M. Baldi

The code we describe (FLY) is a newly written code (using the tree N-body method), for three-dimensional self-gravitating collisionless systems evolution. FLY is a fully parallel code based on the tree Barnes-Hut algorithm and periodical…

Astrophysics · Physics 2009-11-06 U. Becciani , V. Antonuccio-Delogu

A new parallel equilibrium reconstruction code for tokamak plasmas is presented. GPEC allows to compute equilibrium flux distributions sufficiently accurate to derive parameters for plasma control within 1 ms of runtime which enables…

Plasma Physics · Physics 2016-07-08 Markus Rampp , Roland Preuss , Rainer Fischer , the ASDEX Upgrade Team

Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode…

Computational Physics · Physics 2024-12-03 Nikolay M. Kuzmin , Danila S. Sirotin , Alexander V. Khoperskov

We discuss the performance of direct summation codes used in the simulation of astrophysical stellar systems on highly distributed architectures. These codes compute the gravitational interaction among stars in an exact way and have an…

Astrophysics · Physics 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

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

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

We describe source code level parallelization for the {\tt kira} direct gravitational $N$-body integrator, the workhorse of the {\tt starlab} production environment for simulating dense stellar systems. The parallelization strategy, called…

The formation of the large-scale structure, the evolution and distribution of galaxies, quasars, and dark matter on cosmological scales, requires numerical simulations. Differentiable simulations provide gradients of the cosmological…

Instrumentation and Methods for Astrophysics · Physics 2022-11-21 Yin Li , Libin Lu , Chirag Modi , Drew Jamieson , Yucheng Zhang , Yu Feng , Wenda Zhou , Ngai Pok Kwan , François Lanusse , Leslie Greengard

Context. The magnetic field in the solar atmosphere continually reconnects and accelerates charged particles to high energies. Simulations of the atmosphere in three dimensions that include the effects of accelerated particles can aid our…

Solar and Stellar Astrophysics · Physics 2022-10-05 L. Frogner , B. V. Gudiksen

We present the merging of the Particle-Mesh (PM) relativistic Gevolution code with the TreePM Gadget-4 code, with the aim of studying general relativity effects in cosmology. Our code, called GrGadget, is able to track the evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Eduardo Quintana-Miranda , Pierluigi Monaco , Luca Tornatore

Scientific foundation models hold great promise for advancing nuclear and particle physics by improving analysis precision and accelerating discovery. Yet, progress in this field is often limited by the lack of openly available large scale…

Data Analysis, Statistics and Probability · Physics 2025-09-09 Shuhang Li , Yi Huang , David Park , Xihaier Luo , Haiwang Yu , Yeonju Go , Christopher Pinkenburg , Yuewei Lin , Shinjae Yoo , Joseph Osborn , Christof Roland , Jin Huang , Yihui Ren

Furthering our understanding of many of today's interesting problems in plasma physics---including plasma based acceleration and magnetic reconnection with pair production due to quantum electrodynamic effects---requires large-scale kinetic…

Computational Physics · Physics 2020-10-28 Kyle G. Miller , Roman P. Lee , Adam Tableman , Anton Helm , Ricardo A. Fonseca , Viktor K. Decyk , Warren B. Mori

We study the accumulation of errors in cosmological N-body algorithms that are caused by representing the continuous distribution of matter by massive particles, comparing the PPPM and Adaptive Multigrid codes. We use for this a new measure…

Astrophysics · Physics 2007-05-23 Ivar Suisalu , Enn Saar
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