Our primary task in the Applied Mathematics Group is to provide cost
effective research and development for clients who need to enhance their
capabilities on an existing project, evaluate solutions for proposed
projects, or provide debriefing for concluded projects. We can
provide a rapid respose for immediate technical problems, and long term
research and development for a wide range of technologies. We specialize
in the development of advanced algorithms, and technical computation
using freely available software.
Recent research and development projects include:
Invariant wavelet theory applied to data compression, denoising
and detection.
Perfect and near perfect filter bank design methods using constrained
optimization.
Global constrained optimization techniques using dynamical system
methods.
Fast wavelet-Galerkin solvers for complex Euler and Navier-Stokes
flows.
Fast, parallel wavelet-Galerkin solvers for the Schroedinger
equation .
Fast wavelet-Galerkin solvers for complex heat flow in composite
materials.
Software and papers from these projects are being made available for
personal use by ftp from this site. We plan to maintain open GPL licensed
libraries of new mathematical software.
