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Direct methods of solving multidimensional inverse hyperbolic problems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kabanikhin, S. I.
Otros Autores: Satybaev, A. D. (Abdigany D.), Shishlenin, M. A. (Maxim A.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht ; Boston, MA : VSP, 2005.
Colección:Inverse and ill-posed problems series ; v. 48.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Kabanikhin, S. I. 
245 1 0 |a Direct methods of solving multidimensional inverse hyperbolic problems /  |c S.I. Kabanikhin, A.D. Satybaev, and M.A. Shishlenin. 
260 |a Utrecht ;  |a Boston, MA :  |b VSP,  |c 2005. 
300 |a 1 online resource (179 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series ;  |v v. 48 
500 |a De Gruyter."--Cover. 
504 |a Includes bibliographical references (pages 169-179). 
588 0 |a Print version record. 
505 0 |a Intro; Main definitions and notations; Introduction; Chapter 1. Finite-difference scheme inversion (FDSI); 1.1. Introduction; 1.2. Volterra operator equations; 1.3. Definitions and examples; 1.4. Convergence of FDSI; 1.5. Numerical examples; Chapter 2. Linearized multidimensional inverse problem for the wave equation; 2.1. Introduction; 2.2. Problem formulation; 2.3. Linearization; 2.4. Analyzing the structure of the solution to one-dimensional direct problem; 2.5. Existence theorem for the direct problem; 2.6. Uniqueness of solutions to the inverse problem and regularization. 
505 8 |a 2.7. Numerical examplesChapter 3. Methods of I.M. GePfand, B.M. Levitan and M.G. Krein; 3.1. Introduction; 3.2. Gel'fand-Levitan-Krein (GLK) equation for one-dimensional inverse problem; 3.3. Multidimensional analog of GLK-equations; 3.4. Gel'fand-Levitan method for wave equation; 3.5. Discrete analog of the Gel'fand-Levitan equation; 3.6. Multidimensional discrete analog; 3.7. Numerical examples; Chapter 4. Boundary control method (BC method); 4.1. Introduction. Statement of the problem; 4.2. BC method in one-dimensional case; 4.3. BC method for 2D acoustic inverse problem. 
505 8 |a 4.4. Numerical examplesChapter 5. Projection method; 5.1. Introduction; 5.2. Projection method for solving inverse problem for the wave equation; 5.3. Projection method for solving inverse acoustic problem; 5.4. Numerical examples; Appendix A; Appendix B; Bibliography. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Inverse problems (Differential equations)  |x Numerical solutions. 
650 0 |a Finite differences. 
650 6 |a Problèmes inverses (Équations différentielles)  |x Solutions numériques. 
650 6 |a Différences finies. 
650 7 |a Finite differences  |2 fast 
650 7 |a Inverse problems (Differential equations)  |x Numerical solutions  |2 fast 
700 1 |a Satybaev, A. D.  |q (Abdigany D.)  |1 https://id.oclc.org/worldcat/entity/E39PCjHvGfPw49DbVg7jQvKwFq 
700 1 |a Shishlenin, M. A.  |q (Maxim A.)  |1 https://id.oclc.org/worldcat/entity/E39PCjGMMqHMhGktHrdrCj7crm 
776 0 8 |i Print version:  |z 9783110960716 
830 0 |a Inverse and ill-posed problems series ;  |v v. 48. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4008727  |z Texto completo 
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