Analytical and Computational Methods in Scattering and Applied Mathematics
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Summary
Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematical and engineering communities working in these fields, and actively collaborated with a number of colleagues from both communities.
It was in Professor Kleinman's memory that leading researchers in the fields of wave propagation, scattering, and applied mathematics gathered for an international conference at the University of Delaware in November 1998. This Research Note comprises papers on these topics presented at the conference along with other contributions by Ralph's colleagues.
The papers consist of authoritative overviews by experts in their fields and new results from leading researchers. With many of the contributions multidisciplinary in nature and presentation of recent advances, Analytical and Computational Methods in Scattering and Applied Mathematics will prove of interest to engineers working in electromagnetics and wave propagation and to applied mathematicians working in partial differential equations and inverse problems
Table of Contents
On Some Optimization Methods in Antenna Theory: A Systematic Approach, Thomas S. Angell
Modified Gradient and Contrast Source Inversion, Peter M. van den Berg
Identification of Acoustically Soft Solids of Revolution in a Waveguide using the ICBA Method, J.L. Buchanan, R.P. Gilbert, A. Wirgin, and Y.S. Xu
An Asymptotic Wave Interpretation of Sonar Reflections from a Rough Surface, Margaret Cheney and Norman Bleistein
Critical Values in Inverse Scattering Theory, David L. Colton
The Finite Element Approximation of Scattering in a Layered Medium, Joe Coyle and Peter Monk
The Far Field Expansion Theorem in Thermoelastic Scattering, George Dassios
Theoretical Notes on Scattering from One-Dimensional Penetrable Rough Surfaces, John A. DeSanto
Higher-Order Slender Body Theory, A.R. Galper, T. Miloh, and M. Spector
Acoutstic Scattering in Dispersions, Oliver Harlen, Yiqi Qiu, Brian Sleeman, and Malcolm Povey
Applied Analysis in Ship Hydrodynamics, Aad J. Hermans and Lisette M. Sierevogel
Mathematical Foundations for the Boundary-Field Equation Methods in Acoustic and Electromagnetic Scattering, George C. Hsiao
Obstacle Scattering as seen by R.K. and R.K., Rainer Kress
On Nonlinarized Wavefield Inversion Methods and the Identification of Buried Objects, Dominique Lesselier and Bernard Duchene
Scattering in a 2-D Optical Waveguide, Rolando Magnanini and Fadil Santosa
Scattering by Inclusions, P.A. Martin
Pointwise Interpolation Inequalities for Riesz and Bessel Potentials, Vladimir Maz'ya and Tatyana Shaposhnikova
Spectrum of Multidimensional Schrodinger Operators with Sparse Potentials, S. Molchanov and B. Vainberg
On Inverse Problems for the Wave Equation with Time Dependent Potentials, G.F. Roach
Editorial Reviews
"The contributions comprise reviews and highly original results by specialists on applied mathematics, medical engineers, and researchers on inverse problems. It can be strongly recommended to researchers and postgraduate students interested in these fields."
- European Mathematical Society Newsletter
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