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QCD and Numerical Analysis III [electronic resource] :Proceedings of the Third International Workshop on Numerical Analysis and Lattice QCD, Edinburgh June-July 2003 / edited by Artan Bori~i, Andreas Frommer, Bálint Joó, Anthony Kennedy, Brian Pendleton.

by Bori~i, Artan [editor.]; Frommer, Andreas [editor.]; Joó, Bálint [editor.]; Kennedy, Anthony [editor.]; Pendleton, Brian [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computational Science and Engineering: 47Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XIII, 201 p. 29 illus. online resource.ISBN: 9783540285045.Subject(s): Mathematics | Computer science | Numerical analysis | Mathematical physics | Mathematics | Numerical Analysis | Computational Science and Engineering | Mathematical and Computational PhysicsDDC classification: 518 Online resources: Click here to access online
Contents:
Surveys -- An Introduction to Lattice Chiral Fermions -- Computing f(A)b for Matrix Functions f -- Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermions -- Monte Carlo Simulations of Lattice QCD -- Lattice QCD -- Determinant and Order Statistics -- Monte Carlo Overrelaxation for SU(N) Gauge Theories -- Improved Staggered Fermions -- Perturbative Landau Gauge Mean Link Tadpole Improvement Factors -- Reversibility and Instabilities in Hybrid Monte Carlo Simulations -- A Finite Baryon Density Algorithm -- The Nucleon Mass in Chiral Effective Field Theory -- Computational Methods -- A Modular Iterative Solver Package in a Categorical Language -- Iterative Linear System Solvers with Approximate Matrix-vector Products -- What Can Lattice QCD Theorists Learn from NMR Spectroscopists? -- Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov SubspaceMethods -- Fast Evaluation of Zolotarev Coefficients -- The Overlap Dirac Operator as a Continued Fraction.
In: Springer eBooksSummary: This book reports on progress in numerical methods for Lattice QCD with chiral fermions. It contains a set of pedagogical introductory articles written by experts from both the Applied Mathematics and Lattice Field Theory communities, together with detailed accounts of leading-edge algorithms for the simulation of overlap chiral fermions. Topics covered include: QCD simulations in the chiral regime; Evaluation and approximation of matrix functions; Krylov subspace methods for the iterative solution of linear systems; Eigenvalue solvers. These are complemented by a set of articles on closely related numerical and technical problems in Lattice field Theory.
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Surveys -- An Introduction to Lattice Chiral Fermions -- Computing f(A)b for Matrix Functions f -- Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermions -- Monte Carlo Simulations of Lattice QCD -- Lattice QCD -- Determinant and Order Statistics -- Monte Carlo Overrelaxation for SU(N) Gauge Theories -- Improved Staggered Fermions -- Perturbative Landau Gauge Mean Link Tadpole Improvement Factors -- Reversibility and Instabilities in Hybrid Monte Carlo Simulations -- A Finite Baryon Density Algorithm -- The Nucleon Mass in Chiral Effective Field Theory -- Computational Methods -- A Modular Iterative Solver Package in a Categorical Language -- Iterative Linear System Solvers with Approximate Matrix-vector Products -- What Can Lattice QCD Theorists Learn from NMR Spectroscopists? -- Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov SubspaceMethods -- Fast Evaluation of Zolotarev Coefficients -- The Overlap Dirac Operator as a Continued Fraction.

This book reports on progress in numerical methods for Lattice QCD with chiral fermions. It contains a set of pedagogical introductory articles written by experts from both the Applied Mathematics and Lattice Field Theory communities, together with detailed accounts of leading-edge algorithms for the simulation of overlap chiral fermions. Topics covered include: QCD simulations in the chiral regime; Evaluation and approximation of matrix functions; Krylov subspace methods for the iterative solution of linear systems; Eigenvalue solvers. These are complemented by a set of articles on closely related numerical and technical problems in Lattice field Theory.

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