Computational Methods for Inverse Problems.pdf

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Computational Methods for Inverse Problems

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F R O N T I E RS IN A P P L I ED M A T H E M A T I CS The SIAM series on Frontiers in Applied Mathematics publishes monographs dealing with creative work in a substantive field involving applied mathematics or scientific computation. All works focus on emerging or rapidly developing research areas that report on new techniques to solve mainstream problems in science or engineering. The goal of the series is to promote, through short, inexpensive, expertly written monographs, cutting edge research poised to have a substantial impact on the solutions of problems that advance science and technology. The volumes encompass a broad spectrum of topics important to the applied mathematical areas of education, government, and industry. EDITORIAL BOARD H.T. Banks, Editor-in-Chief, North Carolina State University Richard Albanese, U.S. Air Force Research Laboratory, Brooks AFB Carlos Castillo Chavez, Cornell University Doina Cioranescu, Universite Pierre et Marie Curie (Paris VI) Pat Hagan, Nomura Global Financial Products, New York Matthias Heinkenschloss, Rice University Belinda King,Virginia Polytechnic Institute and State University Jeffrey Sachs, Merck Research Laboratories, Merck and Co., Inc. Ralph Smith, North Carolina State University AnnaTsao, Institute for Defense Analyses, Center for Computing Sciences

B O O KS P U B L I S H ED IN F R O N T I E RS IN A P P L I ED M A T H E M A T I CS Vogel, Curtis R., Computational Methods for Inverse Problems Lewis, F. L; Campos, J.; and Selmic, R., Neuro-Fuzzy Control of Industrial Systems with Actuator Nonlinearities Bao, Gang; Cowsar, Lawrence; and Masters, Wen, editors, Mathematical Modeling in Optical Science Banks, H.T.; Buksas, M.W.; and Lin.T., Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts Oostveen,job, Strongly Stabilizable Distributed Parameter Systems Griewank, Andreas, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation Kelley, C.T., Iterative Methods for Optimization Greenbaum,Anne, Iterative Methods for Solving Linear Systems Kelley, C.T., Iterative Methods for Linear and Nonlinear Equations Bank, Randolph E., PLTMG:A Software Package for Solving Elliptic Partial Differential Equations. Users'Guide 7.0 More, Jorge J. and Wright, Stephen J., Optimization Software Guide Rude, Ulrich, Mathematical and Computational Techniques for Multilevel Adaptive Methods Cook, L. Pamela, Transonic Aerodynamics: Problems in Asymptotic Theory Banks, H.T., Control and Estimation in Distributed Parameter Systems Van Loan, Charles, Computational Frameworks for the Fast Fourier Transform Van Huffel, Sabine and Vandewalle,Joos, The Total Least Squares Problem: Computational Aspects and Analysis Castillo, Jose E., Mathematical Aspects of Numerical Grid Generation Bank, R. E., PLTMG: A Software Package for Solving Elliptic Partial Differential Equations. Users' Guide 6.0 McCormick, Stephen F., Multilevel Adaptive Methods for Partial Differential Equations Grossman, Robert, Symbolic Computation: Applications to Scientific Computing Coleman,Thomas F. and Van Loan, Charles, Handbook for Matrix Computations McCormick, Stephen F., Multigrid Methods Buckmaster, John D., The Mathematics of Combustion Ewing, Richard E., The Mathematics of Reservoir Simulation

Computational Methods for Inverse Problems Curtis R.Vogel Montana State University Bozeman, Montana siam Society for Industrial and Applied Mathematics Philadelphia

Copyright © 2002 by the Society for Industrial and Applied Mathematics. 1 0 9 8 7 6 5 4 32 I All rights reserved. Printed in the United States of America. No part of this book may be reproduced, stored, or transmitted in any manner without the written permission of the publisher. For information, write the Society for Industrial and Applied Mathematics, 3600 University City Science Center, Philadelphia, PA 19104-2688. Library of Congress Cataloging-in-Publication Data Vogel, Curtis R. Computational methods for inverse problems / Curtis R. Vogel. p. cm.— (Frontiers in applied mathematics) Includes bibliographical references and index. ISBN 0-89871-507-5 I. Inverse problems (Differential equations)—Numerical solutions. I.Title. II. Series. QA377 .V575 2002 5I5'.35 —dc2l 2002022386 Siam is a registered trademark.

To my father, FredNickeyVogel

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