Overview

The book with contributions from the joint interdisciplinary workshop covers important numerical bottleneck problems from lattice quantum chromodynamics: 1) The computation of Green's functions from huge sparse linear systems and the determination of flavor-singlet observables by stochastic estimates of matrix traces can both profit from novel preconditioning techniques and algebraic multi-level algorithms. 2) The exciting overlap fermion formulation requires the solution of linear systems including a matrix sign function, an extremely demanding numerical task that is tackled by Lanczos/projection methods. 3) Realistic simulations of QCD must include three light dynamical quark flavors with non-degenerate masses. Algorithms using polynomial approximations of the matrix determinant can deal with this situation. The volume aims at stimulating synergism and creating new links between lattice quantum and numerical analysis.

Full Product Details

Author:   Andreas Frommer ,  Thomas Lippert ,  Bjoern Medeke ,  Klaus Schilling
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2000
Volume:   15
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.650kg
ISBN:  

9783540677321

ISBN 10:   3540677321
Pages:   188
Publication Date:   27 September 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Overlap Fermions and Matrix Functions.- The Overlap Dirac Operator.- Solution of f (A)x = bwith Projection Methods for the Matrix A.- A Numerical Treatment of Neuberger's Lattice Dirac Operator.- Fast Methods for Computing the Neuberger Operator.- Light Quarks, Lanczos and Multigrid Techniques.- On Lanczos-Type Methods for Wilson Fermions.- An Algebraic Multilevel Preconditioner for Symmetric Positive Definiteand Indefinite Problems.- On Algebraic Multilevel Preconditioning.- On Algebraic Multilevel Preconditioners in Lattice Gauge Theory.- Flavor Singlet Operators and Matrix Functionals.- Stochastic Estimator Techniques for Disconnected Diagrams.- Noise Methods for Flavor Singlet Quantities.- Novel Numerical Techniques for Full QCD.- A Noisy Monte Carlo Algorithm with Fermion Determinant.- Least-Squares Optimized Polynomials for Fermion Simulations.- One-Flavour Hybrid Monte Carlo with Wilson Fermions.

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