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 2004-02-26. Geometric Methods in Inverse Problems and Pde Control available in PDF, EPUB and Kindle.
Geometric Methods in Inverse Problems and PDE Control
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.
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.
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 2022-12-31. Geometric Inverse Problems available in PDF, EPUB and Kindle. Cutting-edge mathematical tools are used in this treatment of recent developments in geometric inverse problems.
Variational Methods
Variational Methods - 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 Variational Methods write by Maïtine Bergounioux. This book was released on 2017-01-11. Variational Methods available in PDF, EPUB and Kindle. With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents: Part I Second-order decomposition model for image processing: numerical experimentation Optimizing spatial and tonal data for PDE-based inpainting Image registration using phase・amplitude separation Rotation invariance in exemplar-based image inpainting Convective regularization for optical flow A variational method for quantitative photoacoustic tomography with piecewise constant coefficients On optical flow models for variational motion estimation Bilevel approaches for learning of variational imaging models Part II Non-degenerate forms of the generalized Euler・Lagrange condition for state-constrained optimal control problems The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls Controllability of Keplerian motion with low-thrust control systems Higher variational equation techniques for the integrability of homogeneous potentials Introduction to KAM theory with a view to celestial mechanics Invariants of contact sub-pseudo-Riemannian structures and Einstein・Weyl geometry Time-optimal control for a perturbed Brockett integrator Twist maps and Arnold diffusion for diffeomorphisms A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I Index
