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Elements of the theory of inverse problems /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Denisov, A. M. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht, the Netherlands : VSP, 1999.
Colección:Inverse and ill-posed problems series.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Denisov, A. M.,  |e author. 
245 1 0 |a Elements of the theory of inverse problems /  |c A.M. Denisov. 
264 1 |a Utrecht, the Netherlands :  |b VSP,  |c 1999. 
300 |a 1 online resource (280 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed February 12, 2015). 
505 0 |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 
505 8 |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 
505 8 |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 
505 8 |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 
505 8 |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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650 0 |a Inverse problems (Differential equations) 
650 6 |a Problèmes inverses (Équations différentielles) 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Inverse problems (Differential equations)  |2 fast 
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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 0 |a Inverse and ill-posed problems series. 
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