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We present an implementation of the fast multipole method for computing coulombic electrostatic and polarization forces from polarizable force-fields based on induced point dipole moments. We demonstrate the expected $O(N)$ scaling of that…

Chemical Physics · Physics 2015-06-22 Jonathan P. Coles , Michel Masella

A high-performance parallel algorithm is proposed for modeling the propagation of acoustic and elastic waves in inhomogeneous media. An initial boundary-value problem is replaced by a series of boundary-value problems for a constant…

Numerical Analysis · Mathematics 2011-01-25 Alexey G. Fatyanov , Andrew V. Terekhov

Nowadays, we are to find out solutions to huge computing problems very rapidly. It brings the idea of parallel computing in which several machines or processors work cooperatively for computational tasks. In the past decades, there are a…

Programming Languages · Computer Science 2014-02-07 Brijender Kahanwal

This paper introduces a directional multiscale algorithm for the two dimensional $N$-body problem of the Helmholtz kernel with applications to high frequency scattering. The algorithm follows the approach in [Engquist and Ying, SIAM Journal…

Numerical Analysis · Mathematics 2008-02-29 Björn Engquist , Lexing Ying

The fast multipole method (FMM) has received growing attention in the beam physics simulation. In this study, we formulate an interpolation-based FMM for the computation of the relativistic space-charge field. Different to the…

Computational Physics · Physics 2023-07-19 Yi-Kai Kan , Franz X. Kärtner , Sabine Le Borne , Jens-Peter M. Zemke

We present a new implementation of the numerical integration of the classical, gravitational, N-body problem based on a high order Hermite's integration scheme with block time steps, with a direct evaluation of the particle-particle forces.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 R. Capuzzo-Dolcetta , M. Spera , D. Punzo

The Helmholtz equation is related to seismic exploration, sonar, antennas, and medical imaging applications. It is one of the most challenging problems to solve in terms of accuracy and convergence due to the scalability issues of the…

Numerical Analysis · Mathematics 2024-01-12 Jinqiang Chen , Vandana Dwarka , Cornelis Vuik

A method is proposed for evaluation of single and double layer potentials of the Laplace and Helmholtz equations on piecewise smooth manifold boundary elements with constant densities. The method is based on a novel two-term decomposition…

Numerical Analysis · Mathematics 2023-09-15 Shoken Kaneko , Ramani Duraiswami

Computationally intractable tasks are often encountered in physics and optimization. Such tasks often comprise a cost function to be optimized over a so-called feasible set, which is specified by a set of constraints. This may yield, in…

Quantum Physics · Physics 2023-04-25 Borja Requena , Gorka Muñoz-Gil , Maciej Lewenstein , Vedran Dunjko , Jordi Tura

This letter investigates parallelism approaches for equation and Jacobian evaluations in large-scale power flow calculation. Two levels of parallelism are proposed and analyzed: inter-model parallelism, which evaluates models in parallel,…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Hantao Cui , Fangxing Li , Xin Fang

In this paper, we present a new multibody physics simulation framework that utilizes the subsystem-based structure and the Alternating Direction Method of Multiplier (ADMM). The major challenge in simulating complex high degree of freedom…

Robotics · Computer Science 2023-03-01 Jeongmin Lee , Minji Lee , Dongjun Lee

We consider general discrete Markov Random Fields(MRFs) with additional bottleneck potentials which penalize the maximum (instead of the sum) over local potential value taken by the MRF-assignment. Bottleneck potentials or analogous…

Computer Vision and Pattern Recognition · Computer Science 2019-08-19 Ahmed Abbas , Paul Swoboda

Tree codes that approximate groups of distant particles with multipole expansions are the standard way to accelerate the computation of self-gravity on particles. While momentum-conserving fast multipole methods exist, parallelisation is…

Instrumentation and Methods for Astrophysics · Physics 2026-02-06 Yann Bernard , Timothée David-Cléris , Daniel J. Price , Mike Y. M. Lau

Computation offloading has become a popular solution to support computationally intensive and latency-sensitive applications by transferring computing tasks to mobile edge servers (MESs) for execution, which is known as mobile/multi-access…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Ruihuai Liang , Bo Yang , Zhiwen Yu , Xuelin Cao , Derrick Wing Kwan Ng , Chau Yuen

In parallel iterative applications, computational efficiency is essential for addressing large problems. Load imbalance is one of the major performance degradation factors of parallel applications. Therefore, distributing, cleverly, and as…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Anthony Boulmier , Franck Raynaud , Nabil Abdennadher , Bastien Chopard

Numerical studies of shock waves in large scale systems via kinetic simulations with millions of particles are too computationally demanding to be processed in serial. In this work we focus on optimizing the parallel performance of a…

Computational Physics · Physics 2015-07-10 Jim Howell , Wolfgang Bauer , Dirk Colbry , Rodney Pickett , Alec Staber , Irina Sagert , Terrance Strother

In this paper, we introduce a novel parallel contact algorithm designed to run efficiently in High-Performance Computing based supercomputers. Particular emphasis is put on its computational implementation in a multiphysics finite element…

Computational Engineering, Finance, and Science · Computer Science 2022-08-02 G. Guillamet , M. Rivero , M. Zavala-Aké , M. Vázquez , G. Houzeaux , S. Oller

We have preliminary results on the parallelization of a Tree-Code for evaluating gravitational forces in N-body astrophysical systems. For our Cray T3D/CRAFT implementation, we have obtained an encouraging speed-up behavior, which reaches a…

Astrophysics · Physics 2007-05-23 R. Capuzzo-Dolcetta , P. Miocchi

We present preliminary results on the parallelization of a Tree-Code for evaluating gravitational forces in N-body astrophysical systems. Our HPF/CRAFT implementation on a CRAY T3E machine attained an encouraging speed-up behavior, reaching…

Astrophysics · Physics 2009-10-31 Roberto Capuzzo-Dolcetta , Paolo Miocchi

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser