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150212s1999 ne ob 000 0 eng d |
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|a E7B
|b eng
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|c E7B
|d OCLCQ
|d OCLCF
|d IDEBK
|d EBLCP
|d YDXCP
|d OCLCQ
|d COCUF
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|d LOA
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|a 913090360
|a 922950557
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|a 9783110943290
|q (e-book)
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|a 3110943298
|q (e-book)
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|z 9783110354980
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|a (OCoLC)903973808
|z (OCoLC)913090360
|z (OCoLC)922950557
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|a 807161
|b MIL
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|a QA374
|b .L67 1999eb
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|a 510
|q OCoLC
|2 23/eng/20230216
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|a UAMI
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|a Lorenzi, A.,
|e author.
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|a Identification problems of wave phenomena :
|b theory and numerics /
|c S.I. Kabanikhin and A. Lorenzi.
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|a Utrecht, the Netherlands :
|b VSP,
|c 1999.
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300 |
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|a 1 online resource (352 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Inverse and ill-posed problems series
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|a Includes bibliographical references.
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|a Online resource; title from PDF title page (ebrary, viewed February 12, 2015).
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|a Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- 1.1. Introduction -- 1.2. Inverse Problems of Mathematical Physics -- 1.3. Inverse problem for the wave equation -- 1.4. The equation of plane waves. The d�Alembert formula -- 1.5. The Cauchy problem -- 1.6. The d�Alembert operator with smooth initial data -- 1.7. The Kirchhoff and Poisson formulae -- 1.8. Huygens principle -- 1.9. Time-like and space-like surfaces -- 1.10. Inverse problems with smooth initial data -- 1.11. Inverse problem for the acoustic equation
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|a Chapter 2. Volterra operator equations2.1. Main definitions -- 2.2. Local well-posedness -- 2.3. Well-posedness for sufficiently small data -- 2.4. Well-posedness in the neighborhood of the exact solution -- Chapter 3. Inverse problems for Maxwell�s equations -- 3.1. Introduction -- 3.2. Reduction of inverse problem for Maxwell�s equations to a Volterra operator equation -- 3.3. Local well-posedness and global uniqueness -- 3.4. Well-posedness in the neighborhood of the exact solution -- Chapter 4. Linearization and Newton-Kantorovich method
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|a 4.1. Linearization of Volterra operator equations4.2. he linearized inverse problem for the wave equation -- 4.3. The Newton-Kantorovich method -- Chapter 5. The Gel�fand -- Levitan Method -- 5.1. Introduction -- 5.2. Gel�fand-Levitan�s approach to multidimensional inverse problems -- 5.3. Discrete inverse problems -- 5.4. Discrete direct problems -- 5.5. An auxiliary problem -- 5.6. A necessary condition for the existence of the global solution to the discrete inverse problem
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|a 5.7. Sufficient conditions for the existence of the global solution to the discrete inverse problemChapter 6. Regularization -- 6.1. Introduction -- 6.2. Volterra regularization -- Chapter 7. The method of the optimal control -- 7.1. Introduction -- 7.2. Discrete inverse problem -- 7.3. Special representation for the solution to the discrete direct problem -- 7.4. Uniqueness of the stationary point -- Chapter 8. Inversion of finite-difference schemes -- 8.1. Convergence of the method of inversion of finite-difference schemes
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|a 8.2. Picard and Caratheodory successive approximationsChapter 9. Strongly ill-posed problems -- 9.1. A strongly ill-posed problem for the Laplace equation -- 9.2. Conditional continuous dependence on the data -- 9.3. Approximate solutions to the Cauchy problem for the Laplace equation -- 9.4. Approximate solutions to the non-characteristic problem for the multidimensional heat equation -- 9.5. Existence of solutions satisfying operator inequalities -- Chapter 10. Identification problems related to first-order scalar semilinear equations
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Wave equation.
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650 |
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|a Waves
|x Mathematics.
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650 |
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|a Nonlinear wave equations.
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650 |
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|a Inverse problems (Differential equations)
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650 |
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|a Volterra equations.
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650 |
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|a Number theory.
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650 |
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|a Équations d'onde.
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650 |
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|a Ondes
|x Mathématiques.
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650 |
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|a Équations d'onde non linéaires.
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650 |
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|a Problèmes inverses (Équations différentielles)
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650 |
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6 |
|a Équations de Volterra.
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650 |
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6 |
|a Théorie des nombres.
|
650 |
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7 |
|a Inverse problems (Differential equations)
|2 fast
|
650 |
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7 |
|a Nonlinear wave equations
|2 fast
|
650 |
|
7 |
|a Number theory
|2 fast
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650 |
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7 |
|a Volterra equations
|2 fast
|
650 |
|
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|a Wave equation
|2 fast
|
650 |
|
7 |
|a Waves
|x Mathematics
|2 fast
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700 |
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|a Kabanikhin, S. I.,
|e author.
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758 |
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|i has work:
|a Identification problems of wave phenomena (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGDjDyQtKtpdkGFFr3kGgX
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
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|i Print version:
|a Lorenzi, A.
|t Identification Problems of Wave Phenomena : Theory and Numerics.
|d Hawthorne : De Gruyter, ©1999
|z 9783110354980
|
830 |
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0 |
|a Inverse and ill-posed problems series.
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3049396
|z Texto completo
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936 |
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|a BATCHLOAD
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938 |
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|a EBL - Ebook Library
|b EBLB
|n EBL3049396
|
938 |
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|a ebrary
|b EBRY
|n ebr11008732
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938 |
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|a ProQuest MyiLibrary Digital eBook Collection
|b IDEB
|n cis13822324
|
938 |
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|a YBP Library Services
|b YANK
|n 10853156
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994 |
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|a 92
|b IZTAP
|