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The time-symmetric block time--step (TSBTS) algorithm is a newly developed efficient scheme for $N$--body integrations. It is constructed on an era-based iteration. In this work, we re-designed the TSBTS integration scheme with dynamically…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 M. Kaplan , H. Saygin

As the field of quantum computing grows, novel algorithms which take advantage of quantum phenomena need to be developed. As we are currently in the NISQ (noisy intermediate scale quantum) era, quantum algorithm researchers cannot reliably…

Quantum Physics · Physics 2024-11-28 Youssef Moawad , Andrew Brown , René Steijl , Wim Vanderbauwhede

Particle filters are key algorithms for object tracking under non-linear, non-Gaussian dynamics. The high computational cost of particle filters, however, hampers their applicability in cases where the likelihood model is costly to…

Computation · Statistics 2014-04-07 Ömer Demirel , Ihor Smal , Wiro J. Niessen , Erik Meijering , Ivo F. Sbalzarini

We report on improvements made over the past two decades to our adaptive treecode N-body method (HOT). A mathematical and computational approach to the cosmological N-body problem is described, with performance and scalability measured up…

Instrumentation and Methods for Astrophysics · Physics 2013-10-18 Michael S. Warren

Particle-In-Cell (PIC) methods are frequently used for kinetic, high-fidelity simulations of plasmas. Implicit formulations of PIC algorithms feature strong conservation properties, up to numerical round-off errors, and are not subject to…

Plasma Physics · Physics 2021-10-26 R. Kube , R. M. Churchill , B. Sturdevant

The quantum simulation of quantum chemistry is a promising application of quantum computers. However, for N molecular orbitals, the $\mathcal{O}(N^4)$ gate complexity of performing Hamiltonian and unitary Coupled Cluster Trotter steps makes…

Computational Physics · Physics 2022-05-18 Mario Motta , Erika Ye , Jarrod R. McClean , Zhendong Li , Austin J. Minnich , Ryan Babbush , Garnet Kin-Lic Chan

We derive new discrete event simulation algorithms for marked time point processes. The main idea is to couple a special structure, namely the associated local independence graph, as defined by Didelez arXiv:0710.5874, with the activity…

Computation · Statistics 2021-03-05 Cyrille Mascart , Alexandre Muzy , Patricia Reynaud-bouret

Learning precise surrogate models of complex computer simulations and physical machines often require long-lasting or expensive experiments. Furthermore, the modeled physical dependencies exhibit nonlinear and nonstationary behavior.…

Machine Learning · Computer Science 2023-03-20 Matthias Bitzer , Mona Meister , Christoph Zimmer

We investigate a hybrid numerical algorithm aimed at the large-scale cosmological N-body simulation for the on-going and the future high precious sky surveys. It makes use of a truncated Fast Multiple Method (FMM) for short-range gravity,…

Computational Physics · Physics 2021-01-13 Qiao Wang

We present an implementation of Smoothed Particle Hydrodynamics (SPH) in an adaptive-mesh PPPM algorithm. The code evolves a mixture of purely gravitational particles and gas particles. The code retains the desirable properties of previous…

Astrophysics · Physics 2009-10-22 H. M. P. Couchman , P. A. Thomas , F. R. Pearce

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

To make relevant predictions about observable emission, hydrodynamical simulation codes must employ schemes that account for radiative losses, but the large dimensionality of accurate radiative transfer schemes is often prohibitive.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 James C. Lombardi , William G. McInally , Joshua A. Faber

Cosmological simulations require the use of a multiple time-stepping scheme. Without such a scheme, cosmological simulations would be impossible due to their high level of dynamic range; over eleven orders of magnitude in density. Such a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-05 Josh Borrow , Richard G. Bower , Peter W. Draper , Pedro Gonnet , Matthieu Schaller

Simulation of atomic resolution image formation in scanning transmission electron microscopy can require significant computation times using traditional methods. A recently developed method, termed plane-wave reciprocal-space interpolated…

Computational Physics · Physics 2017-07-07 Alan Pryor , Colin Ophus , Jianwei Miao

In machine learning, active class selection (ACS) algorithms aim to actively select a class and ask the oracle to provide an instance for that class to optimize a classifier's performance while minimizing the number of requests. In this…

Given a graphical model (GM), computing its partition function is the most essential inference task, but it is computationally intractable in general. To address the issue, iterative approximation algorithms exploring certain local…

Machine Learning · Computer Science 2019-05-15 Sejun Park , Eunho Yang , Se-Young Yun , Jinwoo Shin

Active learning (AL) has the potential to drastically reduce annotation costs in 3D biomedical image segmentation, where expert labeling of volumetric data is both time-consuming and expensive. Yet, existing AL methods are unable to…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Carsten T. Lüth , Jeremias Traub , Kim-Celine Kahl , Till J. Bungert , Lukas Klein , Lars Krämer , Paul F. Jäger , Klaus Maier-Hein , Fabian Isensee

Many physical and biological processes are stochastic in nature. Computational models and simulations of such processes are a mathematical and computational challenge. The basic stochastic simulation algorithm was published by D. Gillespie…

Quantitative Methods · Quantitative Biology 2009-11-13 Azi Lipshtat

We analyse four approaches to elimination of a fast variable, which are applicable to systems like passive Brownian particles: (i) moment formalism, (ii) corresponding cumulant formalism, (iii) Hermite function basis, (iv) formal…

Statistical Mechanics · Physics 2021-07-23 Evelina V. Permyakova , Lyudmila S. Klimenko , Irina V. Tyulkina , Denis S. Goldobin

Research on crowd simulation has important and wide range of applications. The main difficulty is how to lead all particles with a same and simple rule, especially when particles are numerous. In this paper, we firstly propose a two…

Numerical Analysis · Mathematics 2022-09-08 Tianlu Chen , Chang Yang , Léon Matar Tine , Zhichang Guo