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It is well known that the block Krylov subspace solvers work efficiently for some cases of the solution of differential equations with multiple right-hand sides. In lattice QCD calculation of physical quantities on a given configuration…

高能物理 - 格点 · 物理学 2009-12-04 T. Sakurai , H. Tadano , Y. Kuramashi

We consider the task of computing solutions of linear systems that only differ by a shift with the identity matrix as well as linear systems with several different right hand sides. In the past Krylov subspace methods have been developed…

高能物理 - 格点 · 物理学 2012-05-03 Sebastian Birk , Andreas Frommer

It has become increasingly important to include one or more individual flavours of dynamical fermion in lattice QCD simulations. This is due in part to the advent of QCD+QED calculations, where isospin symmetry breaking means that the up,…

高能物理 - 格点 · 物理学 2019-03-27 Taylor Haar , Waseem Kamleh , James Zanotti , Yoshifumi Nakamura

Close to the chiral limit, many calculations in numerical lattice QCD can potentially be accelerated using low-mode deflation techniques. In this paper it is shown that the recently introduced domain-decomposed deflation subspaces can be…

高能物理 - 格点 · 物理学 2008-11-26 Martin Lüscher

We accelerate many-flavor lattice QCD simulations using multiple GPUs. Multiple pseudo-fermion fields are introduced additively and independently for each flavor in the many-flavor HMC algorithm. Using the independence of each…

高能物理 - 格点 · 物理学 2011-01-27 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , S. Uno , N. Yamada

There has been much recent progress in the understanding and reduction of the computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this…

高能物理 - 格点 · 物理学 2008-11-26 M. A. Clark , A. D. Kennedy

At physical light quark masses, efficient linear solvers are crucial for carrying out the millions of inversions of the Dirac matrix required for obtaining high statistics in quark correlation functions. Adaptive algebraic multi-grid…

高能物理 - 格点 · 物理学 2022-01-12 Shuhei Yamamoto , Simone Bacchio , Jacob Finkenrath

The Rational Hybrid Monte Carlo (RHMC) algorithm extends the Hybrid Monte Carlo algorithm for lattice QCD simulations to situations involving fractional powers of the determinant of the quadratic Dirac operator. This avoids the updating…

高能物理 - 格点 · 物理学 2008-11-26 J. B. Kogut , D. K. Sinclair

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be…

高能物理 - 格点 · 物理学 2015-05-28 Waseem Kamleh , Mike Peardon

Improved staggered fermion formulations are a popular choice for lattice QCD calculations. Historically, the algorithm used for such calculations has been the inexact R algorithm, which has systematic errors that only vanish as the square…

高能物理 - 格点 · 物理学 2008-11-26 M. A. Clark , A. D. Kennedy

Lattice simulations of Quantum Chromodynamics (QCD) enable one to calculate the low-energy properties of the strong interaction among quarks and gluons based on the first principle. The most time-consuming part of the numerical simulations…

高能物理 - 格点 · 物理学 2026-02-17 Wei-Lun Chen , Issaku Kanamori , Hideo Matsufuru , Hartmut Neff

We apply a recent proposal to speed up the Hybrid-Monte-Carlo simulation of systems with dynamical fermions to two flavour QCD with clover-improvement. The basic idea of our proposal is to split the fermion matrix into two factors with a…

高能物理 - 格点 · 物理学 2009-11-07 M. Hasenbusch , K. Jansen

We compare the performance of the PHMC algorithm with the one of the HMC algorithm in practical simulations of lattice QCD. We show that the PHMC algorithm can lead to an acceleration of numerical simulations. It is demonstrated that the…

高能物理 - 格点 · 物理学 2009-10-31 R. Frezzotti , K. Jansen

The majority of compute time doing lattice QCD is spent inverting the fermion matrix. The time that this takes increases with the condition number of the matrix. The FLIC(Fat Link Irrelevant Clover) action displays, among other properties,…

高能物理 - 格点 · 物理学 2015-06-25 Waseem Kamleh

The advantages of using Multi-Step corrections for simulations of lattice gauge theories with dynamical fermions will be discussed. This technique is suited for algorithms based on the Multi-Boson representation of the dynamical fermions as…

高能物理 - 格点 · 物理学 2008-11-26 Enno E. Scholz , Istvan Montvay

Lattice quantum chromodynamics simulations in nuclear physics have benefited from a tremendous number of algorithmic advances such as multigrid and eigenvector deflation. These improve the time to solution but do not alleviate the intrinsic…

高能物理 - 格点 · 物理学 2018-08-09 M. A. Clark , Alexei Strelchenko , Alejandro Vaquero , Mathias Wagner , Evan Weinberg

We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for…

高能物理 - 格点 · 物理学 2024-03-19 Simon Kuberski

We discuss the usage and applicability of deflation methods for the overlap lattice Dirac operator, focussing on calculating the eigenvalues using a method similar to the eigCG algorithm used for other Dirac operators. The overlap operator,…

高能物理 - 格点 · 物理学 2016-05-04 Nigel Cundy , Weonjong Lee

In QCD chiral symmetry is explicitly broken by quark masses, the effect of which can be described reliably by chiral perturbation theory. Effects of explicit chiral symmetry breaking by the lattice regularisation of the Dirac operator,…

高能物理 - 格点 · 物理学 2011-01-27 Nigel Cundy , Tony Kennedy , Andreas Schäfer

While lateral interaction models for reactions at surfaces have steadily gained popularity and grown in terms of complexity, their use in chemical kinetics has been impeded by the low performance of current KMC algorithms. The origins of…

计算物理 · 物理学 2019-08-12 Franziska Hess
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