Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory

Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory PDF Author: Frederick Bloom
Publisher: SIAM
ISBN: 0898711711
Category : Science
Languages : en
Pages : 229

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Book Description
Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.

Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory

Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory PDF Author: Frederick Bloom
Publisher: SIAM
ISBN: 0898711711
Category : Science
Languages : en
Pages : 229

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Book Description
Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.

Mathematical Problems of Classical Nonlinear Electromagnetic Theory

Mathematical Problems of Classical Nonlinear Electromagnetic Theory PDF Author: Frederick Bloom
Publisher: CRC Press
ISBN: 1000716716
Category : Science
Languages : en
Pages : 399

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Book Description
A survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959885
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Inverse Problems in Diffusion Processes

Inverse Problems in Diffusion Processes PDF Author: Heinz W. Engl
Publisher: SIAM
ISBN: 9780898713510
Category : Mathematics
Languages : en
Pages : 250

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Book Description
This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952

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Book Description


Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts

Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts PDF Author: H. T. Banks
Publisher: SIAM
ISBN: 9780898719871
Category : Technology & Engineering
Languages : en
Pages : 159

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Book Description
Electromagnetic theory offers fascination and challenge from both a physical and a mathematical perspective. This monograph contains the newest results on the use of electromagnetic probes to interrogate dielectric material structures for material properties and geometry. This volume systematically exploits interface phenomena, the electrodynamics of material responses, and time dependent interrogating signals in an integrated manner. The authors begin with basic electromagnetics, such as Maxwell's equations, and present modeling, theory, and computational results.

Infinite-Dimensional Systems

Infinite-Dimensional Systems PDF Author: F. Kappel
Publisher: Springer
ISBN: 3540389326
Category : Mathematics
Languages : en
Pages : 286

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Book Description


Regularization of Inverse Problems

Regularization of Inverse Problems PDF Author: Heinz Werner Engl
Publisher: Springer Science & Business Media
ISBN: 9780792361404
Category : Mathematics
Languages : en
Pages : 340

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Book Description
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Non-Standard and Improperly Posed Problems

Non-Standard and Improperly Posed Problems PDF Author: William F. Ames
Publisher: Elsevier
ISBN: 008053774X
Category : Mathematics
Languages : en
Pages : 319

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Book Description
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. - Provides the first unified survey of the advances made in the last 15 years in the field - Includes an up-to-date compendium of the mathematical literature on these topics

Applied Mathematical Modelling of Engineering Problems

Applied Mathematical Modelling of Engineering Problems PDF Author: N.V. Hritonenko
Publisher: Springer Science & Business Media
ISBN: 1441991603
Category : Mathematics
Languages : en
Pages : 307

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Book Description
The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.