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Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory


Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory
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Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory


Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory
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Author : Frederick Bloom
language : en
Publisher: SIAM
Release Date : 1981-01-01

Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory written by Frederick Bloom and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Science categories.


Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories.



Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory


Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory
DOWNLOAD
Author : Frederick Bloom
language : en
Publisher: SIAM
Release Date : 1981-10-01

Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory written by Frederick Bloom and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-10-01 with Science categories.


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
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Author : Frederick Bloom
language : en
Publisher: CRC Press
Release Date : 2020-11-29

Mathematical Problems Of Classical Nonlinear Electromagnetic Theory written by Frederick Bloom and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-29 with Science categories.


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



Inverse Problems In Diffusion Processes


Inverse Problems In Diffusion Processes
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Author : Heinz W. Engl
language : en
Publisher: SIAM
Release Date : 1995-01-01

Inverse Problems In Diffusion Processes written by Heinz W. Engl and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.


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



Electromagnetic Material Interrogation Using Conductive Interfaces And Acoustic Wavefronts


Electromagnetic Material Interrogation Using Conductive Interfaces And Acoustic Wavefronts
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Author : H. T. Banks
language : en
Publisher: SIAM
Release Date : 2000-01-01

Electromagnetic Material Interrogation Using Conductive Interfaces And Acoustic Wavefronts written by H. T. Banks and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Technology & Engineering categories.


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
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Author : F. Kappel
language : en
Publisher: Springer
Release Date : 2006-11-14

Infinite Dimensional Systems written by F. Kappel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Regularization Of Inverse Problems


Regularization Of Inverse Problems
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Author : Heinz Werner Engl
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-31

Regularization Of Inverse Problems written by Heinz Werner Engl 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 2000-03-31 with Mathematics categories.


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
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Author : William F. Ames
language : en
Publisher: Elsevier
Release Date : 1997-07-07

Non Standard And Improperly Posed Problems written by William F. Ames and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-07 with Mathematics categories.


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
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Author : N.V. Hritonenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Applied Mathematical Modelling Of Engineering Problems written by N.V. Hritonenko 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 2013-04-17 with Mathematics categories.


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.



Linear Matrix Inequalities In System And Control Theory


Linear Matrix Inequalities In System And Control Theory
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Author : Stephen Boyd
language : en
Publisher: SIAM
Release Date : 1994-01-01

Linear Matrix Inequalities In System And Control Theory written by Stephen Boyd 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 Mathematics categories.


In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.