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|a 515.357
|2 23
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|a UAMI
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|a Denisov, A. M.,
|e author.
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|a Elements of the theory of inverse problems /
|c A.M. Denisov.
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|a Utrecht, the Netherlands :
|b VSP,
|c 1999.
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|a 1 online resource (280 pages)
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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 Chapter 1. The basic concepts of inverse and ill-posed problems -- Â1 Inverse problems. The examples -- Â2 Well-posed and ill-posed problems -- Â3 Operator equations of the first and the second kinds -- Â4 Some aspects of setting and solving inverse problems -- Â5 Exercises for readers -- Chapter 2. Inverse problems for ordinary differential equations -- Â1 Problems of determination of the right side and coefficients of linear differential equations and systems by their solutions -- Â2 Inverse problems for the first order linear equation with a parameter
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|a Â3 Inverse problems for linear differential equations of the second order with a parameterÂ4 Inverse problems for nonlinear ordinary differential equations -- Â5 Exercises for readers -- Chapter 3. Linear inverse problems for partial differential equations -- Â1 Inverse problems for the heat conductivity equation -- Â2 Inverse problems for the vibration equation -- Â3 Inverse problems for the Laplace and Poisson equations -- Â4 Exercises for readers -- Chapter 4. Inverse coefficient problems for partial differential equations
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|a Â1 Inverse problems for first order equationsÂ2 The problem of determining the coefficient of the hyperbolic equation -- Â3 Reduction of inverse coefficient problems to inverse problems for ordinary differential equations with a parameter -- Â4 The problem of determining the coefficient dependent on the solution -- Â5 Exercises for readers -- Chapter 5. Problems of determining the function from the values of integrals -- Â1 Determining the function of one variable from the integral of this function. The moment problem
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|a Â2 Inversion of the Radon transformation. The problems of computer tomographyÂ3 Determining the function of two variables from its integrals along the circles -- Â4 Exercises for readers -- Chapter 6. Methods of solution of inverse problems -- Â1 Solving equations of the first kind on compact sets. The quasisolution method -- Â2 The Tikhonov regularization method -- Â3 The iterative method of solving equations of the first kind -- Â4 The projective method for solving equations of the first kind
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|a Â5 Methods for solving Fredholm integral equations of the first kindÂ6 Method of solution of the Volterra integral equation of the first kind -- Â7 The quasi-inversion method -- Â8 Exercises for readers -- Bibliography
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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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 Inverse problems (Differential equations)
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650 |
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|a Problèmes inverses (Équations différentielles)
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650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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650 |
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7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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650 |
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7 |
|a Inverse problems (Differential equations)
|2 fast
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758 |
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|i has work:
|a Elements of the theory of inverse problems (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH6TbCJ4wwvfTvgMjkfYHd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Denisov, A.M.
|t Elements of the Theory of Inverse Problems.
|d Tubingen : De Gruyter, ©1999
|z 9789067643030
|
830 |
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0 |
|a Inverse and ill-posed problems series.
|
856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3049534
|z Texto completo
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|a ProQuest MyiLibrary Digital eBook Collection
|b IDEB
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