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Improperly Posed Problems and Their Numerical Treatment

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Cover of 'Improperly Posed Problems and Their Numerical Treatment'

Table of Contents

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    Book Overview
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    Chapter 1 A Stable Marching Scheme for an Ill-Posed Initial Value Problem
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    Chapter 2 Stability of Parameters Estimated by the Output Least Square Method
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    Chapter 3 Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves
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    Chapter 4 A Numerical Method for Solving the Inverse Stefan Problem in two Space Variables
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    Chapter 5 On a Constrained Fourier Extrapolation Method for Numerical Deconvolution
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    Chapter 6 On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations
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    Chapter 7 Comments on Morozov’s Discrepancy Principle
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    Chapter 8 Reconstruction of a Free Boundary
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    Chapter 9 The Finite Element Method for a Class of Improperly Posed Integral Equations
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    Chapter 10 Maxwell’s Equations with Incident Waves as a Field Source
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    Chapter 11 The Identification of Kinetical Parameters in Medical Receptor Analysis
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    Chapter 12 Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions
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    Chapter 13 Numerical Solution of Fujita’s Equation
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    Chapter 14 On the Order of Regularization Methods
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    Chapter 15 Free Boundary Problem for a Non-Linear System of Parabolic Equations, Including One with Reversed Time
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    Chapter 16 Regularisierungsverfahren für Gleichungen Erster Art mit Positiv Definiten Operatoren
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    Chapter 17 Über Mathematische Methoden der Beobachtungsverarbeitung
Attention for Chapter 12: Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions
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Chapter title
Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions
Chapter number 12
Book title
Improperly Posed Problems and Their Numerical Treatment
Published by
Birkhäuser, Basel, January 1983
DOI 10.1007/978-3-0348-5460-3_12
Book ISBNs
978-3-03-485462-7, 978-3-03-485460-3
Authors

Peter Knabner, Knabner, Peter

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