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Improperly Posed Problems and Their Numerical Treatment

Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, September 26–October 2, 1982

  • Book
  • © 1983

Overview

Editors:
  1. G. Hämmerlin

    1. Mathematisches Institut, Universität München, München 2, Germany

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  2. K.-H. Hoffmann

    1. Mathematisches Institut, Universität Augsburg, Augsburg, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 63)

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Table of contents (17 chapters)

  1. Front Matter

    Pages 1-10
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  2. A Stable Marching Scheme for an Ill-Posed Initial Value Problem

    • Alfred S. Carasso
    Pages 11-35

  3. Stability of Parameters Estimated by the Output Least Square Method

    • G. Chavent
    Pages 37-45

  4. Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves

    • David Colton, Andreas Kirsch
    Pages 47-55

  5. A Numerical Method for Solving the Inverse Stefan Problem in two Space Variables

    • David Colton, Rembert Reemtsen
    Pages 57-63

  6. On a Constrained Fourier Extrapolation Method for Numerical Deconvolution

    • A. Russell Davies
    Pages 65-80

  7. On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations

    • Heinz W. Engl
    Pages 81-95

  8. Comments on Morozov’s Discrepancy Principle

    • C. W. Groetsch
    Pages 97-104

  9. Reconstruction of a Free Boundary

    • Martin Hilpert
    Pages 105-116

  10. The Finite Element Method for a Class of Improperly Posed Integral Equations

    • George C. Hsiao
    Pages 117-131

  11. Maxwell’s Equations with Incident Waves as a Field Source

    • V. Janovský, Ivo Marek, J. Neuberg
    Pages 133-148

  12. The Identification of Kinetical Parameters in Medical Receptor Analysis

    • Peter Jochum
    Pages 149-163

  13. Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions

    • Peter Knabner
    Pages 165-177

  14. Numerical Solution of Fujita’s Equation

    • Jürg T. Marti
    Pages 179-187

  15. On the Order of Regularization Methods

    • Frank Natterer
    Pages 189-203

  16. Free Boundary Problem for a Non-Linear System of Parabolic Equations, Including One with Reversed Time

    • L. Rubinstein
    Pages 205-226

  17. Regularisierungsverfahren für Gleichungen Erster Art mit Positiv Definiten Operatoren

    • Eberhard Schock
    Pages 227-236

  18. Über Mathematische Methoden der Beobachtungsverarbeitung

    • A. N. Tikhonov
    Pages 237-256

  19. Back Matter

    Pages 257-264
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Keywords

Editors and Affiliations

  • Mathematisches Institut, Universität München, München 2, Germany

    G. Hämmerlin

  • Mathematisches Institut, Universität Augsburg, Augsburg, Germany

    K.-H. Hoffmann

Bibliographic Information

  • Book Title: Improperly Posed Problems and Their Numerical Treatment

  • Book Subtitle: Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, September 26–October 2, 1982

  • Editors: G. Hämmerlin, K.-H. Hoffmann

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-5460-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1983

  • Softcover ISBN: 978-3-0348-5462-7Published: 23 August 2014

  • eBook ISBN: 978-3-0348-5460-3Published: 21 November 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 264

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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