Analytical and Computational Methods in Scattering and Applied Mathematics

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 mathematic Content: Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- Optimization of Radiating Fields and the Example of Null-Placement -- Modified Gradient and Contrast Source Inversion -- Identification of Acoustically Soft Solids of Revolution in a Waveguide Using the ICBA Method -- Recollections of Ralph Kleinman -- An Asymptotic Wave Interpretation of Sonar Reflections from a Rough Surface -- Critical Values in Inverse Scattering Theory -- The Finite Element Approximation of Scattering in a Layered Medium -- The Far-Field Expansion Theorem in Thermoelastic Scattering -- Theoretical Notes on Scattering from One-Dimensional Penetrable Rough Surfaces -- Higher-Order Slender Body Theory -- Acoustic Scattering in Dispersions -- Applied Analysis in Ship Hydrodynamics -- Mathematical Foundations for the Boundary-Field Equation Methods in Acoustic and Electromagnetic Scattering -- Obstacle Scattering as Seen by R.K. and R.K. -- On Nonlinearized Wavefield Inversion Methods and the Identification of Buried Objects -- Scattering in a 2-D Optical Waveguide -- Scattering by Inclusions -- Pointwise Interpolation Inequalities for Riesz and Bessel Potentials -- Spectrum of Multidimensional Schrödinger Operators with Sparse Potentials -- On Inverse Problems for the Wave Equation with Time Dependent Potentials -- Photo Album. Compiles papers on the topics of wave propagation, scattering, applied mathematics, and partial differential equations. This title includes articles by leading international experts form the body of this work, which grew out of a conference in memory of Ralph E Kleinman. It is interest to both the mathematics and engineering communities. This volume compiles papers on the topics of wave propagation, scattering, applied mathematics, and partial differential equations. Up-to-date, authoritative articles by leading international experts form the body of this work, which grew out of a conference in memory of Ralph E. Kleinman.