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Identification Problems of Wave Phenomena

Author: A. Lorenzi

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2014-07-24

Total Pages: 352

ISBN-13: 3110943298

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Wave Phenomena

Author: Dudley H. Towne

Publisher: Courier Dover Publications

Published: 2014-05-05

Total Pages: 482

ISBN-13: 0486145158

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Brilliantly written undergraduate-level text emphasizes optics, acoustics; covers transverse waves on a string, acoustic plane waves, boundary-value problems, much more. Numerous problems (half with solutions).

Wave Phenomena

Author: Lui Lam

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 281

ISBN-13: 1461388562

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IJ:1 June of 1987 the Center for Applied Mathematics and Computer Science at San Jose State University received a bequest of over half a million dollars from the estate of Mrs. Marie Woodward. In the opening article of this collection of papers Jane Day, the founder of the Center, describes the background that led to this gift. In recognition of the bequest it was decided that a series of Woodward Conferences be established. The First Woodward Conference took place at San Jose State University on June 2-3 1988. The themes of the conference were the Theoretical, Computational and Practical Aspects of Wave Phenomena and these same themes have been used to divide the contributions to this volume. Part I is concerned with papers on theoretical aspects. This section includes papers on pseudo-differential operator techniques, inverse problems and the mathematical foundations of wave propagation in random media. Part II consists of papers that involve significant amounts of computation. Included are papers on the Fast Hartley Transform, computational algorithms for electromagnetic scattering problems, and nonlinear wave interaction problems in fluid mechanics. vi Part III contains papers with a genuine physics flavor. This final section illustrates the widespread importance of wave phenomena in physics. Among the phenomena considered are waves in the atmosphere, viscous fingering in liquid crystals, solitons and wave localization.

Wave Phenomena

Author: Willy Dörfler

Publisher: Springer Nature

Published: 2023-03-30

Total Pages: 368

ISBN-13: 3031057937

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This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Introduction to Wave Phenomena

Author: Akira Hirose

Publisher: Wiley-Interscience

Published: 1985-04-02

Total Pages: 384

ISBN-13:

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New York : Wiley, c1985.

An Introduction to Identification Problems via Functional Analysis

Author: Alfredo Lorenzi

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2014-07-24

Total Pages: 256

ISBN-13: 3110940922

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this monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential – or integrodifferential – equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration.

Wave Phenomena

Author:

Publisher:

Published: 1989

Total Pages: 275

ISBN-13:

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Inverse Problems of Wave Processes

Author: A. S. Blagoveshchenskii

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2014-07-24

Total Pages: 148

ISBN-13: 3110940892

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This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.

Wave Phenomena: Modern Theory and Applications

Author: C. Rogers

Publisher: Elsevier

Published: 1984-10-01

Total Pages: 458

ISBN-13: 9780080872087

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This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.

Kernel Determination Problems in Hyperbolic Integro-Differential Equations

Author: Durdimurod K. Durdiev

Publisher: Springer Nature

Published: 2023-06-18

Total Pages: 390

ISBN-13: 9819922607

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This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.