Understanding the interaction of waves with obstacles is fundamental in many areas of science and engineering. This book synthesises mathematical methods for solving such scattering problems, with an emphasis on time-dependent problems. It will be a valuable resource for applied mathematicians, physicists and engineers.
Über den Autor
P. A. Martin is Professor in the Department of Applied Mathematics and Statistics at Colorado School of Mines. He was the Editor-in-Chief of the SIAM Journal on Applied Mathematics and is the author of Multiple Scattering (Cambridge, 2006).
Inhaltsverzeichnis
1. Acoustics and the Wave Equation; 2. Wavefunctions; 3. Characteristics and Discontinuities; 4. Initial-boundary Value Problems; 5. Use of Laplace Transforms; 6. Problems with Spherical Symmetry; 7. Scattering by a Sphere; 8. Scattering Frequencies and the Singularity Expansion Method; 9. Integral Representations; 10. Integral Equations; References; Citation Index; Index.
