This workshop on Numerical Analysis and QCD will be organized by the Institute for Theoretical Physics of the University of Regensburg from Wednesday 3rd till Saturday 6th September 2008. It is the fifth in a series of workshops that were previously held at the
University of Kentucky (1995), the University of Wuppertal (1999), the University of Edinburgh (2003), and Yale University (2007).
The aim of this workshop is to bring together applied mathematicians and theoretical physicists
to stimulate the exchange of ideas between leading experts in the fields
of lattice QCD and numerical analysis.
The algorithms used for QCD computations have been growing in sophistication
over the years, making use of mathematical methods including stochastic
processes, linear algebra, approximation theory, multi-scale techniques, and
symplectic integrators. The interplay between physicists and mathematicians
has become more valuable as the level of sophistication increases, with both
sides contributing innovative and powerful new approaches.
The program will include introductory lectures describing the specific needs for numerical methods in QCD as well as lectures by experts in applied mathematics reporting about some of the latest advances in their field. Some of the main topics at the interface of QCD and numerical analysis are the development of efficient integrators required during the molecular dynamics steps in hybrid Monte Carlo simulations, the evaluation of matrix functions for the simulation of chiral fermions, the inversion of large systems for the computation of propagators.
Also discussed will be deflation algorithms, requiring efficient eigenvalue solvers, and multigrid algorithms which can significantly improve the efficiency of existing methods and could play a major role in the future.
View of the Stone Bridge and the picturesque Old Town of Regensburg (UNESCO World Heritage).(Photo: Tourist Office Regensburg)