Inverse Nodal Problems Finding The Potential From Nodal Lines
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Inverse Nodal Problems
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Author : Ole H. Hald
language : en
Publisher:
Release Date : 1996
Inverse Nodal Problems written by Ole H. Hald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Asymptotic distribution categories.
Inverse Nodal Problems Finding The Potential From Nodal Lines
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Author : Ole H. Hald
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Inverse Nodal Problems Finding The Potential From Nodal Lines written by Ole H. Hald and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
In this paper we consider an eigenvalue problem which arises in the study of rectangular membranes. The mathematical model is an elliptic equation, in potential form, with Dirichlet boundary conditions. We show that the potential is uniquely determined, up to an additive constant, by a subset of the nodal lines of the eigenfunctions. A formula is shown which, when the additive constant is given, yields an approximation to the potential at a dense set of points. We present an estimate for the error made by the formula. A substantial part of this work is the derivation of the asymptotic forms for a rich set of eigenvalues and eigenfunctions for a large set of rectangles.
Inverse Problems In Wave Propagation
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Author : Guy Chavent
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Problems In Wave Propagation written by Guy Chavent 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 2012-12-06 with Mathematics categories.
Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.
Inverse Problems In Vibration
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Author : G.M.L. Gladwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-10
Inverse Problems In Vibration written by G.M.L. Gladwell 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 2004-08-10 with Technology & Engineering categories.
In the first, 1986, edition of this book, inverse problems in vibration were interpreted strictly: problems concerning the reconstruction of a unique, undamped vibrating system, of a specified type, from specified vibratory behaviour, particularly specified natural frequencies and/or natural mode shapes. In this new edition the scope of the book has been widened to include topics such as isospectral systems- families of systems which all exhibit some specified behaviour; applications of the concept of Toda flow; new, non-classical approaches to inverse Sturm-Liouville problems; qualitative properties of the modes of some finite element models; damage identification. With its emphasis on analysis, on qualitative results, rather than on computation, the book will appeal to researchers in vibration theory, matrix analysis, differential and integral equations, matrix analysis, non-destructive testing, modal analysis, vibration isolation, etc. "This book is a necessary addition to the library of engineers and mathematicians working in vibration theory." Mathematical Reviews
Surveys On Solution Methods For Inverse Problems
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Author : David Colton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Surveys On Solution Methods For Inverse Problems written by David Colton 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 2012-12-06 with Mathematics categories.
Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Inverse Eigenvalue Problems
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Author : Moody Chu
language : en
Publisher: OUP Oxford
Release Date : 2005-06-16
Inverse Eigenvalue Problems written by Moody Chu and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-16 with Mathematics categories.
Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions—the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems. This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.
Eigenvalues Of Inhomogeneous Structures
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Author : Isaac Elishakoff
language : en
Publisher: CRC Press
Release Date : 2004-10-28
Eigenvalues Of Inhomogeneous Structures written by Isaac Elishakoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Science categories.
The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1985
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mechanics, Applied categories.
Recent Development In Theories Numerics
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Author : Yiu-Chung Hon
language : en
Publisher: World Scientific
Release Date : 2003
Recent Development In Theories Numerics written by Yiu-Chung Hon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Annotation. Proceedings from the First International Conference on Inverse Problems, Recent Theoretical Development and Numerical Approaches, held at the City University of Hong Kong from January 9-12, 2002.
Inverse Nodal Problems Wth Mixed Boundary Conditions
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Author : Catharine Vetter Alvarez
language : en
Publisher:
Release Date : 1998
Inverse Nodal Problems Wth Mixed Boundary Conditions written by Catharine Vetter Alvarez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.