Direct methods of solving multidimensional inverse hyperbolic problems / S. I. Kabanikhin, A. D. Satybaev, and M. A. Shishlenin.

Format:

Book

Author/Creator:

Kabanikhin, S. I., author.

Satybaev, A. D. (Abdigany D.), author.

Shishlenin, M. A. (Maxim A.), author.

Series:

Inverse and ill-posed problems series.

Inverse and Ill-Posed Problems Series

Language:

English

Subjects (All):

Inverse problems (Differential equations)--Numerical solutions.

Inverse problems (Differential equations).

Finite differences.

Physical Description:

1 online resource (187 pages)

Edition:

Reprint 2013

Place of Publication:

Leiden, The Netherlands : VSP, 2005.

Language Note:

English

Summary:

The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods.

Contents:

Frontmatter

Preface

Contents

Main definitions and notations

Introduction

Chapter 1. Finite-difference scheme inversion

Chapter 2. Linearized multidimensional inverse problem for the wave equation

Chapter 3. Methods of I. M. Gel'fand, Β. M. Levitan and M. G. Krein

Chapter 4. Boundary control method

Chapter 5. Projection method

Appendix A

Appendix Β

Bibliography

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

9783110960716

3110960710

OCLC:

1013950495