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Numerical Treatment of Inverse Problems in Differential and Integral Equations

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Cover of 'Numerical Treatment of Inverse Problems in Differential and Integral Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Smooth Numerical Solutions of Ordinary Differential Equations
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    Chapter 2 Towards Parameter Identification for Large Chemical Reaction Systems
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    Chapter 3 Identification of Rate Constants in Bistable Chemical Reactions
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    Chapter 4 New Methods of Parameter Identification in Kinetics of Closed and Open Reaction Systems
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    Chapter 5 On the Estimation of Small Perturbations in Ordinary Differential Equations
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    Chapter 6 Multiple Shooting Techniques Revisited
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    Chapter 7 Recent Advances in Parameteridentification Techniques for O.D.E.
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    Chapter 8 Some Examples of Parameter Estimation by Multiple Shooting
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    Chapter 9 Unrestricted Harmonic Balance III, Application to Running and Standing Chemical Waves
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    Chapter 10 Inverse Eigenvalue Problems for the Mantle
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    Chapter 11 Inverse Problem of Quantal Potential Scattering at Fixed Energy
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    Chapter 12 An Inverse Eigenvalue Problem from Control Theory
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    Chapter 13 Numerical Methods for Robust Eigenstructure Assignment in Control System Design
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    Chapter 14 Some Inverse Problems in Electrocardiology
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    Chapter 15 Determination of Coefficients in Reservoir Simulation
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    Chapter 16 Identification of Nonlinear Soil Physical Parameters from an Input-Output Experiment
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    Chapter 17 On an Inverse Non-Linear Diffusion Problem
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    Chapter 18 The Numerical Solution of a Non-Characteristic Cauchy Probelm for a Parabolic Equation
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    Chapter 19 The Inverse Problem in Geoelectrical Prospecting Assuming a Horizontally Layered Half-Space
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    Chapter 20 Two Dimensional Velocity Inversion for Acoustic Waves with Incomplete Information
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    Chapter 21 Exploiting the Ranges of Radon Transformsin Tomography
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    Chapter 22 Regularization Techniques for Inverse Problems in Molecular Biology
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    Chapter 23 A Comparison of Statistical Regularization and Fourier Extrapolation Methods for Numerical Deconvolution
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    Chapter 24 Deconvolution of Gaussian and Other Kernels
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    Chapter 25 Regularization by Least-Squares Collocation
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Title
Numerical Treatment of Inverse Problems in Differential and Integral Equations
Published by
Birkhäuser Boston, December 2012
DOI 10.1007/978-1-4684-7324-7
ISBNs
978-0-8176-3125-3, 978-1-4684-7324-7
Editors

Deuflhard, Peter, Hairer, Ernst