Advanced applications for algebraic multigrid methods in lattice QCD / eingereicht von Artur Strebel, M. Sc. Wuppertal, 10. August 2020
Content
- Acknowledgments
- Foreword
- Contents
- Introduction
- Basics of numerical linear algebra
- Basic definitions
- Iterative methods for sparse linear systems of equations
- Basic relaxation schemes and their block variants
- Krylov subspace methods
- Restarting
- Preconditioning
- Multigrid methods
- Eigenvalue problems
- Matrix functions
- Basics of quantum chromodynamics
- Auxiliary space preconditioning for the overlap operator in lattice QCD
- Chiral operators in lattice QCD
- Multigrid preconditioning for the overlap operator
- Numerical results
- A multigrid accelerated eigensolver framework
- A Davidson-type multigrid setup
- Conclusion & Outlook
- List of Figures
- List of Tables
- List of Algorithms & Scripts
- Bibliography