Invariant Imbedding and Inverse Problems PDF Download
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Author: James P. Corones
Publisher: SIAM
ISBN: 9780898713053
Category : Science
Languages : en
Pages : 276
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Book Description
This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.
Author: James P. Corones
Publisher: SIAM
ISBN: 9780898713053
Category : Science
Languages : en
Pages : 276
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Book Description
This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.
Author: R. Bellman
Publisher: SIAM
ISBN: 9781611971279
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Here is a book that provides the classical foundations of invariant imbedding, a concept that provided the first indication of the connection between transport theory and the Riccati Equation. The reprinting of this classic volume was prompted by a revival of interest in the subject area because of its uses for inverse problems. The major part of the book consists of applications of the invariant imbedding method to specific areas that are of interest to engineers, physicists, applied mathematicians, and numerical analysts. A large set of problems can be found at the end of each chapter. Numerous problems on apparently disparate matters such as Riccati equations, continued fractions, functional equations, and Laplace transforms are included. The exercises present the reader with "real-life" situations. The material is accessible to a general audience, however, the authors do not hesitate to state, and even to prove, a rigorous theorem when one is available. To keep the original flavor of the book, very few changes were made to the manuscript; typographical errors were corrected and slight changes in word order were made to reduce ambiguities.
Author: Harry Philip Horton
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author:
Publisher: Academic Press
ISBN: 0080956092
Category : Mathematics
Languages : en
Pages : 237
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: R.E. Bellman
Publisher: Springer Science & Business Media
ISBN: 364246274X
Category : Business & Economics
Languages : en
Pages : 157
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Book Description
Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, there are many ways of accomplishing this imbedding. Time and space variables have been widely employed in the past, while modern approaches combine these structural features with others less immediate. Why should one search for alternate imbeddings when elegant classical formalisms already exist? There are many reasons. To begin with, different imbeddings are useful for different purposes. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies. The digital computer is designed for initial value problems; the analog computer for boundary-value problems. It is essential then to be flexible and possess the ability to use one device or the other, or both. In economics, engineering, biology and physics, some pro cesses lend themselves more easily to one type of imbedding rather than another. Thus, for example, stochastic decision processes are well adapted to dynamic programming. In any case, to go hunting in the wilds of the scientific world armed with only one arrow in one's quiver is quite foolhardy.
Author: V. G. Romanov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110926016
Category : Mathematics
Languages : en
Pages : 248
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Book Description
No detailed description available for "Inverse Problems of Mathematical Physics".
Author: Pierre C. Sabatier
Publisher: Springer Science & Business Media
ISBN: 3642752985
Category : Science
Languages : en
Pages : 645
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Book Description
This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique (con tract GR 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I will not try to refer to them all here (the reader will be easily convinced by reading the Table of Contents). My comments at the conference are summarized by the short scientific introduction at the beginning of the volume.
Author: John E Ffowcs Williams
Publisher: World Scientific
ISBN: 9814551724
Category :
Languages : en
Pages : 1028
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Book Description
This conference provided a forum for active researchers to discuss the state of the art in theoretical and computational acoustics. Topics covered structural acoustics, scattering, 3-dimensional propagational problems, fluid/elastic interfaces, wavelets and their impact on acoustics, computational methods and supercomputing.
Author: David H. Bailey
Publisher: SIAM
ISBN: 9780898713442
Category : Science
Languages : en
Pages : 900
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Book Description
Proceedings -- Parallel Computing.
Author: Harriet H. Natsuyama
Publisher: Springer Science & Business Media
ISBN: 4431685278
Category : Science
Languages : en
Pages : 294
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Book Description
A modern treatment of both direct and inverse problems applicable to the remote sensing of earth from space or from the air. Starting from a physical description of the process, the authors develop innovative mathematical models, fundamental mathematics for the analysis of these models, and methods for obtaining computational solutions. They also include the results of recent research using this approach, such as invariant imbedding techniques, associative memory artificial neural networks, and the automatic evaluation of derivatives. With its coverage of uniform parallel illumination, internal sources, and incident spotlight beams, this book is indispensable for researchers working to reduce the atmospheric distortion of remotely sensed terrestrial images.
