Practical Inverse Analysis in Engineering with 3.5 Disk / Edition 1

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Overview

Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models.
The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text.

"...presents practical mathematical tools for bridging the gap between real-world measurements and mathematical models ...includes a disk containing DYNAVAL programming software that enables the applications of the methods presented."

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Editorial Reviews

Booknews
A self-contained text for engineers and scientists explaining a method of combining real-world measurements and mathematical models of physical processes. Demonstrates how to use the theory of dynamic programming to deal with ill-conditioned inverse analysis problems, those for which the solution is extremely sensitive to data. Also describes the generalized-cross-validation theory, which is useful for handling real data. The theories are presented in a general unified setting, to facilitate application in a wide range of fields. A 3.5<"> disk contains programming software on which to try the methods described; no mention is made of what kind of computer it requires. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780849396595
  • Publisher: Taylor & Francis, Inc.
  • Publication date: 7/23/1997
  • Series: CRC Mechanical Engineering Series
  • Edition description: BK&DISK
  • Edition number: 1
  • Pages: 252
  • Product dimensions: 9.00 (w) x 6.00 (h) x 0.69 (d)

Table of Contents

Ch. 1 Dynamic Programming 1
Ch. 2 Matrices and Differential Equations 31
Ch. 3 The General Inverse Problem 67
Ch. 4 The Inverse Heat Conduction Problem 87
Ch. 5 The Inverse Structural Dynamics Problem 111
Ch. 6 Smoothing and Differentiating Noisy Data 139
Ch. 7 Nonlinear Systems 163
Ch. 8 Sequential Estimation and System Identification 183
Bibliography 209
App. A DYNAVAL - A Computer Program for the Solution of the General Inverse Problem Using Dynamic Programming and Generalized Cross Validation 219
Index 231
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