Geometric Methods in Inverse Problems and PDE Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Methods in Inverse Problems and PDE Control write by Chrisopher B. Croke. This book was released on 2012-12-06. Geometric Methods in Inverse Problems and PDE Control available in PDF, EPUB and Kindle. This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title. We would like to thank Christopher B. Croke (University of Penn sylva nia), Irena Lasiecka (University of Virginia), Gunther Uhlmann (University of Washington), and Michael S. Vogelius (Rutgers University) for their ex cellent work as organizers of the two-week summer workshop and for editing the volume. We also take this opportunity to thank the National Science Founda tion for their support of the IMA. Series Editors Douglas N. Arnold, Director of the IMA Fadil Santosa, Deputy Director of the IMA v PREFACE This volume contains a selected number of articles based on lectures delivered at the IMA 2001 Summer Program on "Geometric Methods in Inverse Problems and PDE Control. " The focus of this program was some common techniques used in the study of inverse coefficient problems and control problems for partial differential equations, with particular emphasis on their strong relation to fundamental problems of geometry. Inverse coef ficient problems for partial differential equations arise in many application areas, for instance in medical imaging, nondestructive testing, and geophys ical prospecting. Control problems involving partial differential equations may arise from the need to optimize a given performance criterion, e. g. , to dampen out undesirable vibrations of a structure , or more generally, to obtain a prescribed behaviour of the dynamics.
Geometric Inverse Problems
Geometric Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Inverse Problems write by Gabriel P. Paternain. This book was released on 2023-01-05. Geometric Inverse Problems available in PDF, EPUB and Kindle. This up-to-date treatment of recent developments in geometric inverse problems introduces graduate students and researchers to an exciting area of research. With an emphasis on the two-dimensional case, topics covered include geodesic X-ray transforms, boundary rigidity, tensor tomography, attenuated X-ray transforms and the Calderón problem. The presentation is self-contained and begins with the Radon transform and radial sound speeds as motivating examples. The required geometric background is developed in detail in the context of simple manifolds with boundary. An in-depth analysis of various geodesic X-ray transforms is carried out together with related uniqueness, stability, reconstruction and range characterization results. Highlights include a proof of boundary rigidity for simple surfaces as well as scattering rigidity for connections. The concluding chapter discusses current open problems and related topics. The numerous exercises and examples make this book an excellent self-study resource or text for a one-semester course or seminar.
New Analytic and Geometric Methods in Inverse Problems
New Analytic and Geometric Methods in Inverse Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Analytic and Geometric Methods in Inverse Problems write by Kenrick Bingham. This book was released on 2013-04-17. New Analytic and Geometric Methods in Inverse Problems available in PDF, EPUB and Kindle. In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field.
Spectral Geometry
Spectral Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Geometry write by Pierre H. Berard. This book was released on 2006-11-14. Spectral Geometry available in PDF, EPUB and Kindle.
Diplomatische Fälschungen
Diplomatische Fälschungen - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diplomatische Fälschungen write by . This book was released on 1988. Diplomatische Fälschungen available in PDF, EPUB and Kindle.
