Skip to main content
SpringerLink
Log in

Surveys on Solution Methods for Inverse Problems

  • Book
  • © 2000

Overview

Editors:
  1. David Colton

    1. Department of Mathematical Sciences, University of Delaware, Newark, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Heinz W. Engl

    1. Institut für Mathematik, Johannes-Kepler-Universität, Linz, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Alfred K. Louis

    1. Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Federal Republic of Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Joyce R. McLaughlin

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. William Rundell

    1. Department of Mathematics, Texas A & M University, College Station, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Invited survey papers by leading experts
  • One of the central fields in applied mathematics
  • Numerical solution is very difficult

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-v
    Download chapter PDF

  2. Introduction

    • D. Colton, H. W. Engl, A. K. Louis, J. R. McLaughlin, W. Rundell
    Pages 1-5

  3. Convergence Rates Results for Iterative Methods for Solving Nonlinear Ill-Posed Problems

    • H. W. Engl, O. Scherzer
    Pages 7-34

  4. Iterative Regularization Techniques in Image Reconstruction

    • Martin Hanke
    Pages 35-52

  5. A Survey of Regularization Methods for First-Kind Volterra Equations

    • Patricia K. Lamm
    Pages 53-82

  6. Layer Stripping

    • John Sylvester
    Pages 83-106

  7. The Linear Sampling Method in Inverse Scattering Theory

    • David Colton, Andreas Kirsch, Peter Monk
    Pages 107-118

  8. Carleman Estimates and Inverse Problems in the Last Two Decades

    • Michael V. Klibanov
    Pages 119-146

  9. Local Tomographic Methods in Sonar

    • Alfred K. Louis, Eric Todd Quinto
    Pages 147-154

  10. Efficient Methods in Hyperthermia Treatment Planning

    • T. Köhler, P. Maass, P. Wust
    Pages 155-167

  11. Solving Inverse Problems with Spectral Data

    • Joyce R. McLaughlin
    Pages 169-194

  12. Low Frequency Electromagnetic Fields in High Contrast Media

    • Liliana Borcea, George C. Papanicolaou
    Pages 195-233

  13. Inverse Scattering in Anisotropic Media

    • Gunther Uhlmann
    Pages 235-251

  14. Inverse Problems as Statistics

    • P. B. Stark
    Pages 253-275

  15. Back Matter

    Pages 277-281
    Download chapter PDF
Back to top

Keywords

About this book

Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.

Editors and Affiliations

  • Department of Mathematical Sciences, University of Delaware, Newark, USA

    David Colton

  • Institut für Mathematik, Johannes-Kepler-Universität, Linz, Austria

    Heinz W. Engl

  • Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Federal Republic of Germany

    Alfred K. Louis

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Joyce R. McLaughlin

  • Department of Mathematics, Texas A & M University, College Station, USA

    William Rundell

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation