Back to Departmental Colloquium: Fall 1999
Departmental Colloquium
Date: Thursday, Dec 2, 1999
Time: 4:15PM
Location: JWB 335
Oscar P. Bruno
Caltech
Title |
Accurate solutions of scattering problems: spectral decompositions, asymptotics, smoothness and analyticity |
Abstract |
We have recently found that consideration of the differentiability properties of functions, analytic continuation, spectral decompositions, and various asymptotic expansions can be combined to yield highly accurate, fast algorithms for the solution of problems of scattering containing large two- or three-dimensional scatterers. Some of these numerical methods solve problems of scattering by penetrable bodies, others are concerned with rough surfaces, yet others deal with scattering problems by large, locally smooth conducting surfaces. In this talk I will discuss some of the main elements in these approaches, I will demonstrate their substantial accuracy with a variety of numerical results, and I will mention a number of applications - ranging from optical tomography in biological tissue to radar and remote sensing - for which such accuracy is highly desirable. |
Algebraic Geometry
Commutative Algebra
Combinatorics