This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lam system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.
This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measur...
This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales imaging approaches. It provides the basic mathematical concepts and tools for image reconstruction.
This book highlights recent mathematical developments in emerging biomedical imaging techniques, with a focus is on multi-physics and multi-scales ...
The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics. An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and...
The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well...
