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 ...
This volume contains the proceedings of the conference "Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion", held June 28-July 1, 2011, at the University of Oxford. The mathematical analysis of PDE modelling materials, or tissues, presenting multiple scales has been an active area of research for more than 40 years. The study of the corresponding imaging, or reconstruction, problem is a more recent one. If the material parameters of the PDE present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyse, or compute....
This volume contains the proceedings of the conference "Multi-Scale and High-Contrast PDE: From Modelling, to Mathematical Analysis, to Inversion", he...
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...
This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7-9, 2014, in Daejeon, Korea. The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and...
This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7-9, ...
