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We present the first GPU-based conjugate gradient (CG) solver for lattice QCD with domain-wall fermions (DWF). It is well-known that CG is the most time-consuming part in the Hybrid Monte Carlo simulation of unquenched lattice QCD, which…

High Energy Physics - Lattice · Physics 2011-01-04 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao , Kenji Ogawa

The controls enacting logical operations on quantum systems are described by time-dependent Hamiltonians that often include rapid oscillations. In order to accurately capture the resulting time dynamics in numerical simulations, a very…

Quantum Physics · Physics 2021-09-29 Ross Shillito , Jonathan A. Gross , Agustin Di Paolo , Élie Genois , Alexandre Blais

One significant advantage of superconducting processors is their extensive design flexibility, which encompasses various types of qubits and interactions. Given the large number of tunable parameters of a processor, the ability to perform…

Quantum Physics · Physics 2025-04-25 Ziang Wang , Feng Wu , Hui-Hai Zhao , Xin Wan , Xiaotong Ni

In this paper we describe a single-node, double precision Field Programmable Gate Array (FPGA) implementation of the Conjugate Gradient algorithm in the context of Lattice Quantum Chromodynamics. As a benchmark of our proposal we invert…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-05 Grzegorz Korcyl , Piotr Korcyl

Lattice QCD calculations including the effects of one or more non-degenerate sea quark flavors are conventionally performed using the Rational Hybrid Monte Carlo (RHMC) algorithm, which computes the square root of the determinant of…

High Energy Physics - Lattice · Physics 2018-03-21 C. Jung , C. Kelly , R. D. Mawhinney , D. J. Murphy

A modification to the setup algorithm for the multigrid preconditioner of Wilson fermions in lattice QCD is presented. A larger basis of test vectors than that used in conventional multigrid is calculated by the smoother and truncated by…

High Energy Physics - Lattice · Physics 2025-05-21 Travis Whyte , Andreas Stathopoulos , Eloy Romero

We present a novel, fast differentiable simulator for soft-body learning and control applications. Existing differentiable soft-body simulators can be classified into two categories based on their time integration methods: Simulators using…

Machine Learning · Computer Science 2021-10-12 Tao Du , Kui Wu , Pingchuan Ma , Sebastien Wah , Andrew Spielberg , Daniela Rus , Wojciech Matusik

Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function $\epsilon(H_w)$ of the Hermitian Wilson-Dirac operator $H_w$ with a negative mass term. The problems are due to $H_w$ having very small…

High Energy Physics - Lattice · Physics 2016-09-01 W. Kamleh , D. Adams , D. B. Leinweber , A. G. Williams

We report on the status of our study towards the equation of state in 2+1 flavor QCD with improved Wilson quarks. To reduce the computational cost which is quite demanding for Wilson-type quarks, we adopt the fixed scale approach, i.e. the…

High Energy Physics - Lattice · Physics 2010-11-05 K. Kanaya , S. Aoki , H. Ohno , T. Umeda , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa

We introduce a general differentiable solver for time-dependent deformation problems with contact and friction. Our approach uses a finite element discretization with a high-order time integrator coupled with the recently proposed…

Deploying mixed-precision neural networks on edge devices is friendly to hardware resources and power consumption. To support fully mixed-precision neural network inference, it is necessary to design flexible hardware accelerators for…

Hardware Architecture · Computer Science 2025-02-04 Liang Zhao , Kunming Shao , Fengshi Tian , Tim Kwang-Ting Cheng , Chi-Ying Tsui , Yi Zou

DC Optimal Power Flow (DCOPF) is a key operational tool for power system operators, and it is embedded as a subproblem in many challenging optimization problems (e.g., line switching). However, traditional CPU-based solve routines (e.g.,…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Seide Saba Rafiei , Samuel Chevalier

We present a practical strategy to optimize a set of Hybrid Monte Carlo parameters in simulations of QCD and QCD-like theories. We specialize to the case of mass-preconditioning, with multiple time-step Omelyan integrators. Starting from…

High Energy Physics - Lattice · Physics 2016-10-11 Andrea Bussone , Michele Della Morte , Vincent Drach , Martin Hansen , Ari Hietanen , Jarno Rantaharju , Claudio Pica

Following the line of \cite{AS} we propose an improved algorithm which allows to calculate a D-dimensional fermion determinant integrating the exponent of D+1 dimensional Hermitean bosonic action. For a finite extra dimension the…

High Energy Physics - Lattice · Physics 2007-05-23 A. A. Slavnov

Due to a hard dependency between time steps, large-scale simulations of gas using the Direct Simulation Monte Carlo (DSMC) method proceed at the pace of the slowest processor. Scalability is therefore achievable only by ensuring that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-19 William McDoniel , Paolo Bientinesi

Enhanced sampling and free energy calculation algorithms of the Thermodynamic Integration family (such as the Adaptive Biasing Force method, ABF) are not based on the direct computation of a free energy surface, but rather of its gradient.…

Computational Physics · Physics 2021-10-22 Jérôme Hénin

We present a multi-block finite-difference solver for massively parallel Direct Numerical Simulations (DNS) of incompressible flows. The algorithm combines the versatility of a multi-block solver with the method of eigenfunctions…

Computational Physics · Physics 2022-09-14 Pedro Costa

In this paper, acceleration of gradient methods for convex optimization problems with weak levels of convexity and smoothness is considered. Starting from the universal fast gradient method which was designed to be an optimal method for…

Optimization and Control · Mathematics 2022-06-10 Jongho Park

We present a differentiable weak-form learning approach for accelerating finite element simulations. Rather than introducing black-box source terms in the strong form of the governing equations, we augment the momentum equation directly in…

Fluid Dynamics · Physics 2026-01-29 Junoh Jung , Emil Constantinescu

Differentiable simulators continue to push the state of the art across a range of domains including computational physics, robotics, and machine learning. Their main value is the ability to compute gradients of physical processes, which…

Robotics · Computer Science 2024-07-09 Rhys Newbury , Jack Collins , Kerry He , Jiahe Pan , Ingmar Posner , David Howard , Akansel Cosgun