Conference On Inverse Scattering Theory And Application
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Conference On Inverse Scattering Theory And Application
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Author : J. Bee Bednar
language : en
Publisher: SIAM
Release Date : 1983-01-01
Conference On Inverse Scattering Theory And Application written by J. Bee Bednar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.
Conference On Inverse Scattering
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Author : Conference on Inverse Scattering: Theory and Application (1983, Tulsa, Okla.)
language : en
Publisher:
Release Date : 1983
Conference On Inverse Scattering written by Conference on Inverse Scattering: Theory and Application (1983, Tulsa, Okla.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Inverse Scattering Theory And Transmission Eigenvalues
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Author : Fioralba Cakoni
language : en
Publisher: SIAM
Release Date : 2016-10-28
Inverse Scattering Theory And Transmission Eigenvalues written by Fioralba Cakoni and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-28 with Mathematics categories.
Inverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance. Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues. The authors begin with a basic introduction to the theory, then proceed to more recent developments, including a detailed discussion of the transmission eigenvalue problem; present the new generalized linear sampling method in addition to the well-known linear sampling and factorization methods; and in order to achieve clarification of presentation, focus on the inverse scattering problem for scalar homogeneous media.
Conference On Inverse Scattering
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Author :
language : en
Publisher:
Release Date : 1983
Conference On Inverse Scattering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Integral Equation Methods In Scattering Theory
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Author : David Colton
language : en
Publisher: SIAM
Release Date : 2013-11-15
Integral Equation Methods In Scattering Theory written by David Colton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-15 with Mathematics categories.
This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.
Current Trends In Operator Theory And Its Applications
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Author : Joseph A. Ball
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Current Trends In Operator Theory And Its Applications written by Joseph A. Ball and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.
Perspectives Of Nonlinear Dynamics Volume 1
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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989
Perspectives Of Nonlinear Dynamics Volume 1 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.
Perspectives Of Nonlinear Dynamics Volume 2
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Author : E. Atlee Jackson
language : en
Publisher: CUP Archive
Release Date : 1989
Perspectives Of Nonlinear Dynamics Volume 2 written by E. Atlee Jackson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.
Recent Advances In Operator Theory And Its Applications
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Author : Marinus A. Kaashoek
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-17
Recent Advances In Operator Theory And Its Applications written by Marinus A. Kaashoek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-17 with Mathematics categories.
This book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003. The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. The book will be of interest to a wide audience of pure and applied mathematicians and engineers.
Proceedings Of The Second Workshop On Environments And Tools For Parallel Scientific Computing
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Author : J. J. Dongarra
language : en
Publisher: SIAM
Release Date : 1994-01-01
Proceedings Of The Second Workshop On Environments And Tools For Parallel Scientific Computing written by J. J. Dongarra and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Reference categories.
The editors provide a review of the programming environments for parallel computers with the help of worldwide specialists in each domain. Four different domains were discussed at the workshop, and they each form a part of this book.