English
Related papers

Related papers: The Fast Multipole Method and Point Dipole Moment …

200 papers

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

In this paper, a fast multipole method (FMM) is proposed to compute long-range interactions of wave sources embedded in 3-D layered media. The layered media Green's function for the Helmholtz equation, which satisfies the transmission…

Numerical Analysis · Mathematics 2020-01-08 Bo Wang , Wenzhong Zhang , Wei Cai

We propose an enhanced approach to the extrapolation of mean potential forces acting on atoms of solute macromolecules due to their interactions with solvent atoms in complex biochemical liquids. It improves and extends previous…

Chemical Physics · Physics 2020-01-08 Igor Omelyan , Andriy Kovalenko

Concatenated modal interferometers based multipoint sensing system for detection of instantaneous amplitude, frequency, and phase of mechanical vibrations is proposed and demonstrated. The sensor probes are fabricated using identical…

Instrumentation and Detectors · Physics 2021-05-17 Kalipada Chatterjee , Venugopal Arumuru , Dhananjay Patil , Rajan Jha

We discuss an implementation of adaptive fast multipole methods targeting hybrid multicore CPU- and GPU-systems. From previous experiences with the computational profile of our version of the fast multipole algorithm, suitable parts are…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-03 Marcus Holm , Stefan Engblom , Anders Goude , Sverker Holmgren

Autonomous electrolyte discovery demands a computational engine that satisfies a critical trilemma: it must be fast enough for high-throughput screening, accurate enough for quantitative property prediction, and calibratable enough for…

Materials Science · Physics 2026-04-10 Xintian Wang , Junmin Chen , Zhuoying Zhu , Peichen Zhong

In this paper we describe a new approach to implement the O(N) fast multipole method and $O(N\log N)$ tree method, which uses pseudoparticles to express the potential field. The new method is similar to Anderson's method, which uses the…

Astrophysics · Physics 2009-10-30 Junichiro Makino

We introduce a general framework for many-body force field models, the Completely Multipolar Model (CMM), that utilizes multipolar electrical moments modulated by exponential decay of electron density as a common functional form for all…

Chemical Physics · Physics 2024-06-25 Joseph P. Heindel , Selim Sami , Teresa Head-Gordon

A new fast multipole formulation for solving elliptic difference equations on unbounded domains and its parallel implementation are presented. These difference equations can arise directly in the description of physical systems, e.g.…

Computational Physics · Physics 2016-04-08 Sebastian Liska , Tim Colonius

The numerical simulation of multiphase flows presents several challenges, namely the transport of different phases within de domain and the inclusion of capillary effects. Here, these are approached by enforcing a discrete…

Fluid Dynamics · Physics 2021-10-11 Nicol'as Valle , F. Xavier Trias , Jes'us Castro

The ground-state permanent dipole moments (PDMs) and molecular dipole polarizabilities (DPs) of open-shell alkaline-earth monofluorides, and atomic DPs of alkaline-earth- and fluorine atoms are reported at the Kramers-restricted…

Atomic Physics · Physics 2019-05-22 Renu Bala , H. S. Nataraj , Malaya K. Nayak

Machine learning force fields offer the ability to simulate biomolecules with quantum mechanical accuracy while significantly reducing computational costs, attracting growing attention in biophysics. Meanwhile, leveraging the efficiency of…

Chemical Physics · Physics 2025-08-04 Ge Song , Weitao Yang

We propose a Fast Fourier Transform based Periodic Interpolation Method (FFT-PIM), a flexible and computationally efficient approach for computing the scalar potential given by a superposition sum in a unit cell of an infinitely periodic…

Numerical Analysis · Mathematics 2024-07-01 Fangzhou Ai , Vitaliy Lomakin

We analyze deficiencies of commonly used Coulomb approximations in Generalized Born solvation energy calculation models and report a development of a new fast surface-based method (FSBE) for numerical calculations of the solvation energy of…

Quantitative Methods · Quantitative Biology 2009-10-14 P. O. Fedichev , G. N. Getmantsev , L. I. Menshikov

We simulate the dynamics, including laser cooling, of 3D ion crystals confined in a Penning trap using a newly developed molecular dynamics-like code. The numerical integration of the ions' equations of motion is accelerated using the fast…

Quantum Physics · Physics 2026-02-27 John Zaris , Wes Johnson , Athreya Shankar , John J. Bollinger , Scott E. Parker

Dipole moments are a simple, global measure of the accuracy of the electron density of a polar molecule. Dipole moments also affect the interactions of a molecule with other molecules as well as electric fields. To directly assess the…

Chemical Physics · Physics 2018-04-11 Diptarka Hait , Martin Head-Gordon

We study the high-velocity-projectile limit of the polarizational contribution to the in-plane stopping power in a strongly coupled two-dimensional electron liquid. The dielectric formalism based on the method of moments is employed. The…

Strongly Correlated Electrons · Physics 2007-10-16 D. Ballester , A. M. Fuentes , I. M. Tkachenko

In this work we reformulate the forward modelling of the redshift-space power spectrum multipole moments for a masked density field, as encountered in galaxy redshift surveys. Exploiting the symmetries of the redshift-space correlation…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Michael J. Wilson , John A. Peacock , Andy N. Taylor , Sylvain de la Torre

The Phase-Field Method (PFM) is employed to simulate two-phase flows with the fully-coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations governing the temporal evolution. The methodology minimizes the total energy functional, accounting for…

Molecular simulations of the forced unfolding and refolding of biomolecules or molecular complexes allow to gain important kinetic, structural and thermodynamic information about the folding process and the underlying energy landscape. In…

Soft Condensed Matter · Physics 2021-05-26 Marco Oestereich , Jürgen Gauss , Gregor Diezemann