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Related papers: Multistep Methods for Lattice QCD Simulations

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This paper addresses the optimal control problem known as the Linear Quadratic Regulator in the case when the dynamics are unknown. We propose a multi-stage procedure, called Coarse-ID control, that estimates a model from a few experimental…

Optimization and Control · Mathematics 2018-12-17 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise…

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

Developing efficient path integral (PI) methods for atomistic simulations of vibrational spectra in heterogeneous condensed phases and interfaces has long been a challenging task. Here, we present the h-CMD method, short for hybrid centroid…

Chemical Physics · Physics 2025-05-08 Dil K. Limbu , Nathan London , Md Omar Faruque , Mohammad R. Momeni

This paper deals with the numerical integration of Hamiltonian systems in which a stiff anharmonic potential causes highly oscillatory solution behavior with solution-dependent frequencies. The impulse method, which uses micro- and…

Numerical Analysis · Mathematics 2014-07-23 Christian Lubich , Daniel Weiss

In this paper we study the performance of a symplectic numerical integrator based on the splitting method. This method is applied to a subtle problem i.e. higher order resonance of the elastic pendulum. In order to numerically study the…

Chaotic Dynamics · Physics 2007-05-23 J. M. Tuwankotta , G. R. W. Quispel

Real-time lattice quantum electrodynamics (QED) provides a unique tool for simulating plasmas in the strong-field regime, where collective plasma scales are not well-separated from relativistic-quantum scales. As a toy model, we study…

Plasma Physics · Physics 2018-05-16 Yuan Shi , Jianyuan Xiao , Hong Qin , Nathaniel J. Fisch

We investigate the computational efficiency of two stochastic based alternatives to the Sequential Propagator Method used in Lattice QCD calculations of heavy-light semileptonic form factors. In the first method, we replace the sequential…

High Energy Physics - Lattice · Physics 2010-11-11 Richard Evans , Gunnar Bali , Sara Collins

The search for new physics requires a joint experimental and theoretical effort. Lattice QCD is already an essential tool for obtaining precise model-free theoretical predictions of the hadronic processes underlying many key experimental…

One of the ultimate missions of lattice QCD is to simulate atomic nuclei from the first principle of the strong interaction. This is an extremely hard task for the current computational technology, but might be reachable in coming quantum…

High Energy Physics - Lattice · Physics 2024-03-19 Arata Yamamoto , Takumi Doi

In this work we illustrate our novel quantitative simulation approach for dense amorphous polymer systems, as discussed in our previous work[Kulkarni et al., A Novel Approach for Lattice Simulations of Polymer Chains in Dense Amorphous…

Soft Condensed Matter · Physics 2008-05-06 Joydeep Mukherjee , Antony N. Beris

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

We implement several symplectic integrators, which are based on two part splitting, for studying the chaotic behavior of one- and two-dimensional disordered Klein-Gordon lattices with many degrees of freedom and investigate their numerical…

Computational Physics · Physics 2018-11-14 B. Senyange , Ch. Skokos

The rise of exascale supercomputers has fueled competition among GPU vendors, driving lattice QCD developers to write code that supports multiple APIs. Moreover, new developments in algorithms and physics research require frequent updates…

This article provides an introduction to and review of the field of computer-aided molecular design (CAMD). It is intended to be approachable for the absolute beginner as well as useful to the seasoned CAMD practitioner. We begin by…

Computational Engineering, Finance, and Science · Computer Science 2017-01-17 Nick D. Austin , Nikolaos V. Sahinidis , Daniel W. Trahan

We have used Fortran 90 to implement lattice QCD. We have designed a set of machine independent modules that define fields (gauge, fermions, scalars, etc...) and overloaded operators for all possible operations between fields, matrices and…

High Energy Physics - Lattice · Physics 2009-10-28 I. Dasgupta , A. R. Levi , V. Lubicz , C. Rebbi

It was recently demonstrated that a simple Monte Carlo (MC) algorithm involving the swap of particle pairs dramatically accelerates the equilibrium sampling of simulated supercooled liquids. We propose two numerical schemes integrating the…

Statistical Mechanics · Physics 2019-06-24 Ludovic Berthier , Elijah Flenner , Christopher J. Fullerton , Camille Scalliet , Murari Singh

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper we review the theoretical foundations and the most basic algorithms required to implement a typical lattice…

High Energy Physics - Lattice · Physics 2009-11-11 Massimo Di Pierro

Recent years have seen unprecedented advance in the design and control of quantum computers. Nonetheless, their applicability is still restricted and access remains expensive. Therefore, a substantial amount of quantum algorithms research…

Quantum Physics · Physics 2020-12-11 Thomas Grurl , Richard Kueng , Jürgen Fuß , Robert Wille

The athermal quasistatic deformation method provides an elegant solution to overcome the limitation of short time spans in molecular simulations. It provides overdamped conditions, allowing for the extraction of purely structural responses…

Computational Physics · Physics 2026-04-30 Maximilian Reihn , Franz Bamer , Benjamin Stamm