Verfügbarkeit: Elements of the theory of inverse problems /

Elements of the theory of inverse problems /:

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Bibliographische Detailangaben
1. Verfasser:	Denisov, A. M. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Utrecht, the Netherlands : VSP, 1999.
Schriftenreihe:	Inverse and ill-posed problems series.
Schlagworte:	Inverse problems (Differential equations) Problèmes inverses (Équations différentielles) MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis.
Online-Zugang:	Volltext
Beschreibung:	1 online resource (280 pages)
Bibliographie:	Includes bibliographical references.
ISBN:	9783110943252 3110943255

Internformat

MARC


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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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contents	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 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 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 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 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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spelling	Denisov, A. M., author. Elements of the theory of inverse problems / A.M. Denisov. Utrecht, the Netherlands : VSP, 1999. 1 online resource (280 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Inverse and ill-posed problems series Includes bibliographical references. Online resource; title from PDF title page (ebrary, viewed February 12, 2015). 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 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 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 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 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 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Problèmes inverses (Équations différentielles) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Inverse problems (Differential equations) fast has work: Elements of the theory of inverse problems (Text) https://id.oclc.org/worldcat/entity/E39PCH6TbCJ4wwvfTvgMjkfYHd https://id.oclc.org/worldcat/ontology/hasWork Print version: Denisov, A.M. Elements of the Theory of Inverse Problems. Tubingen : De Gruyter, ©1999 9789067643030 Inverse and ill-posed problems series. http://id.loc.gov/authorities/names/no95046818 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=832690 Volltext
spellingShingle	Denisov, A. M. Elements of the theory of inverse problems / Inverse and ill-posed problems series. 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 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 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 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 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 Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Problèmes inverses (Équations différentielles) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Inverse problems (Differential equations) fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85067684
title	Elements of the theory of inverse problems /
title_auth	Elements of the theory of inverse problems /
title_exact_search	Elements of the theory of inverse problems /
title_full	Elements of the theory of inverse problems / A.M. Denisov.
title_fullStr	Elements of the theory of inverse problems / A.M. Denisov.
title_full_unstemmed	Elements of the theory of inverse problems / A.M. Denisov.
title_short	Elements of the theory of inverse problems /
title_sort	elements of the theory of inverse problems
topic	Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Problèmes inverses (Équations différentielles) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Inverse problems (Differential equations) fast
topic_facet	Inverse problems (Differential equations) Problèmes inverses (Équations différentielles) MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis.
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