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

• Autore: Kabanikhin S. I.
• Pubblicazione: Leiden, The Netherlands : , : VSP, , 2005; ©2005
• Edizione: Reprint 2013
• Descrizione fisica: 1 online resource (187 p.)
• Disciplina: 515/.3535
• Soggetto topico: Inverse problems (Differential equations) - Numerical solutions; Finite differences
• Soggetto genere / forma: Electronic books.
• Classificazione: SK 560
• Persona (resp. second.): SatybaevA. D.; ShishleninM. A.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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
• Sommario/riassunto: 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.
• Titolo autorizzato: Direct methods of solving multidimensional inverse hyperbolic problems
• ISBN: 3-11-096071-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910463647003321
• Lo trovi qui: Univ. Federico II
• Serie: Inverse and ill-posed problems series.