Numerical Challenges in Lattice Quantum Chromodynamics

Joint Interdisciplinary Workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999

ISBN: 978-3-540-67732-1 (Print) 978-3-642-58333-9 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-VIII

  2. Overlap Fermions and Matrix Functions

    1. No Access

      Book Chapter

      Pages 1-17

      The Overlap Dirac Operator

    2. No Access

      Book Chapter

      Pages 18-28

      Solution of f(A)x = b with Projection Methods for the Matrix A

    3. No Access

      Book Chapter

      Pages 29-39

      A Numerical Treatment of Neuberger’s Lattice Dirac Operator

    4. No Access

      Book Chapter

      Pages 40-47

      Fast Methods for Computing the Neuberger Operator

  3. Light Quarks, Lanczos and Multigrid Techniques

    1. No Access

      Book Chapter

      Pages 48-65

      On Lanczos-Type Methods for Wilson Fermions

    2. No Access

      Book Chapter

      Pages 66-83

      An Algebraic Multilevel Preconditioner for Symmetric Positive Definite and Indefinite Problems

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      Book Chapter

      Pages 84-98

      On Algebraic Multilevel Preconditioning

    4. No Access

      Book Chapter

      Pages 99-114

      On Algebraic Multilevel Preconditioners in Lattice Gauge Theory

  4. Flavor Singlet Operations and Matrix Functionals

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      Book Chapter

      Pages 115-126

      Stochastic Estimator Techniques for Disconnected Diagrams

    2. No Access

      Book Chapter

      Pages 127-141

      Noise Methods for Flavor Singlet Quantities

  5. Novel Numerical Techniques for Full QCD

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      Book Chapter

      Pages 142-152

      A Noisy Monte Carlo Algorithm with Fermion Determinant

    2. No Access

      Book Chapter

      Pages 153-165

      Least-Squares Optimized Polynomials for Fermion Simulations

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      Book Chapter

      Pages 166-176

      One-Flavour Hybrid Monte Carlo with Wilson Fermions

  6. Back Matter

    Pages 177-188