ABSTRACT: Numerical methods for nonlinear equations and optimization are
vital tools for scientific, engineering, and industrial applications. These
methods have become highly sophisticated but still constitute a very active
area of research stimulated by new algorithmic developments, challenging
applications, and the continuing advance of high-performance computing. The
speakers will address topics including Newton-Krylov methods as solvers and
accelerators, implicit integration methods, multi-grid/multi-level methods,
methods for multi-physics problems, methods for nonsmooth problems, and
direct search methods. Applications will include industrial design and
large-scale and parallel simulation of chemically reacting flows, groundwater
flow, radiation and neutron transport, and fusion.