University of Washington · Applied Mathematics
A research group at the University of Washington exploring the frontiers of mathematical higher order methods, from ... to ....
The Higher Order Methods, etc. research group (HOME) meets once a week to discuss developments in higher order methods from both an applied and theoretical perspective.
Discussions center around specific topics including acoustic scattering, low rank structures, hierarchical methods, rational approximations, pseudospectra in matrix pencils
UW student may reach out if they are interested in attending.
Computational Mathematics
Developing numerical solvers for partial differential equations describing wave propagation and scattering phenomena.
Optimization
Designing hierarchical algorithms to accelerate the solution of large-scale optimization problems.
Approximation Theory
Constructing rational approximations for computational problems, including Zolotarev-type minimax approximation schemes.
Spectral Theory
Developing computational methods and approximation theory for pseudospectra of matrix pencils.
Numerical Linear Algebra
Exploiting hierarchical and low-rank structure in transform matrices and dynamical systems for fast, scalable computation.
Numerical Analysis
Designing quadrature rules for accurately evaluating singular integrals arising in applied problems.