Equations of Mathematical Diffraction Theory
Equations of Mathematical Diffraction Theory

Author: Mezhlum A. Sumbatyan

Publisher: CRC Press

Published: 2004-09-29

Total Pages: 307

ISBN-13: 0203643488

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Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.

AFOSR.
AFOSR.

Author: United States. Air Force. Office of Scientific Research

Publisher:

Published: 1950

Total Pages: 1190

ISBN-13:

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Potential Method in Mathematical Theories of Multi-Porosity Media
Potential Method in Mathematical Theories of Multi-Porosity Media

Author: Merab Svanadze

Publisher: Springer Nature

Published: 2019-11-01

Total Pages: 313

ISBN-13: 3030280225

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This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.

On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)
On Some Fredholm Integral Equations Arising in Diffraction Theory (Classic Reprint)

Author: Chao Hui Yang

Publisher: Forgotten Books

Published: 2017-12-10

Total Pages: 28

ISBN-13: 9780332598956

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Excerpt from On Some Fredholm Integral Equations Arising in Diffraction Theory In these integral equations, we find that the kernels contain a para meter arin a, non-linearwmanner. It should also be noted that both kernels are symmetric in x and y but that they are neither hermitian symmetric nor normal, except for special values of a. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Mathematical Methods for Physicists
Mathematical Methods for Physicists

Author: George B. Arfken

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 1008

ISBN-13: 1483277828

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Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

On Some Fredholm Integral Equations Arising in Diffraction Theory
On Some Fredholm Integral Equations Arising in Diffraction Theory

Author: Chao-Hui Yang

Publisher: Palala Press

Published: 2018-02-19

Total Pages: 26

ISBN-13: 9781378112700

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Operator Theoretical Methods and Applications to Mathematical Physics
Operator Theoretical Methods and Applications to Mathematical Physics

Author: Israel Gohberg

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 472

ISBN-13: 3034879261

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This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book.