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Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova
| Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova |
| Autore | Sabelʹfelʹd K. K (Karl Karlovich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) | ShalimovaI. A |
| Soggetto topico |
Differential equations, Partial
Integral operators |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-031533-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- 1. Introduction -- 2. Scalar second-order PDEs -- 3. High-order elliptic equations -- 4. Triangular systems of elliptic equations -- 5. Systems of elasticity theory -- 6. The generalized Poisson formula for the Lamé equation -- 7. Spherical means for the stress and strain tensors -- 8. Random Walk on Spheres method -- 9. Random Walk on Fixed Spheres for Laplace and Lamé equations -- 10. A stochastic spectral projection method for solving PDEs for some classes of domains -- 11. Stochastic boundary collocation and spectral methods -- 12. Solution of 2D elasticity problems with random loads -- 13. Boundary value problems for some elliptic PDEs with random boundary conditions -- Bibliography -- Index |
| Record Nr. | UNINA-9910463850403321 |
Sabelʹfelʹd K. K (Karl Karlovich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova
| Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova |
| Autore | Sabelʹfelʹd K. K (Karl Karlovich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) | ShalimovaI. A |
| Soggetto topico |
Differential equations, Partial
Integral operators |
| Soggetto non controllato |
Boundary value problems
Spectral projection method Spherical integral operator Stochastic numeric |
| ISBN | 3-11-031533-5 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- 1. Introduction -- 2. Scalar second-order PDEs -- 3. High-order elliptic equations -- 4. Triangular systems of elliptic equations -- 5. Systems of elasticity theory -- 6. The generalized Poisson formula for the Lamé equation -- 7. Spherical means for the stress and strain tensors -- 8. Random Walk on Spheres method -- 9. Random Walk on Fixed Spheres for Laplace and Lamé equations -- 10. A stochastic spectral projection method for solving PDEs for some classes of domains -- 11. Stochastic boundary collocation and spectral methods -- 12. Solution of 2D elasticity problems with random loads -- 13. Boundary value problems for some elliptic PDEs with random boundary conditions -- Bibliography -- Index |
| Record Nr. | UNINA-9910787761803321 |
|
Sabelʹfelʹd K. K (Karl Karlovich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova
| Spherical and plane integral operators for PDEs : construction, analysis, and applications / / Karl K. Sabelfeld, Irina A. Shalimova |
| Autore | Sabelʹfelʹd K. K (Karl Karlovich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) | ShalimovaI. A |
| Soggetto topico |
Differential equations, Partial
Integral operators |
| Soggetto non controllato |
Boundary value problems
Spectral projection method Spherical integral operator Stochastic numeric |
| ISBN | 3-11-031533-5 |
| Classificazione | SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- 1. Introduction -- 2. Scalar second-order PDEs -- 3. High-order elliptic equations -- 4. Triangular systems of elliptic equations -- 5. Systems of elasticity theory -- 6. The generalized Poisson formula for the Lamé equation -- 7. Spherical means for the stress and strain tensors -- 8. Random Walk on Spheres method -- 9. Random Walk on Fixed Spheres for Laplace and Lamé equations -- 10. A stochastic spectral projection method for solving PDEs for some classes of domains -- 11. Stochastic boundary collocation and spectral methods -- 12. Solution of 2D elasticity problems with random loads -- 13. Boundary value problems for some elliptic PDEs with random boundary conditions -- Bibliography -- Index |
| Record Nr. | UNINA-9910807707203321 |
|
Sabelʹfelʹd K. K (Karl Karlovich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stable perturbations of operators and related topics [[electronic resource] /] / Yifeng Xue
| Stable perturbations of operators and related topics [[electronic resource] /] / Yifeng Xue |
| Autore | Xue Yifeng |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (305 p.) |
| Disciplina | 519.22 |
| Soggetto topico | Integral operators |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-66990-X
9786613646835 981-4383-60-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Basics in Functional Analysis; 1.1 Banach spaces and Hilbert spaces; 1.2 Reduced minimum moduli of densely-defined operators; 1.3 The gap function of subspaces; 1.4 Banach algebras; 1.5 C*-algebras; 1.6 Notes; 2. Stable Perturbation of Densely-Defined Closed Operators; 2.1 Generalized inverses of linear operators on Banach spaces; 2.2 Stable perturbation of operators; 2.3 Perturbation analysis of the operator equation Ax = b; 2.4 Generalized inverses in Banach algebras; 2.5 Some applications of stable perturbations; 2.6 Notes
3. Moore-Penrose Inverse And Its Stable Perturbation 3.1 The Moore-Penrose inverse; 3.2 The reverse order law of the Moore-Penrose inverses; 3.3 Stable perturbation of closed operators in Hilbert spaces; 3.4 The representations of certain Moore-Penrose inverses; 3.5 Moore-Penrose inverses in C*-algebras; 3.6 Notes; 4. Drazin Inverses, T -S Generalized Inverses And Their Perturbations; 4.1 Drazin inverses on Banach spaces; 4.2 The outer generalized inverse with prescribed range and kernel; 4.3 The stable perturbation of Drazin inverses 4.4 The perturbation analysis of the outer generalized inverse with prescribed range and kernel 4.5 Drazin inverses and generalized Drazin inverses in Banach algebras; 4.6 Stable perturbation of Drazin inverses; 4.7 Representations for the Drazin inverses of sums, products and block matrices; 4.8 Notes; 5. Miscellaneous Applications; 5.1 The Generalized Bott-Duffin inverse of an operator on a Hilbert Space; 5.2 Some applications of Moore-Penrose inverses in frame theory; 5.3 Generalized Cowen-Douglas mappings; 5.4 Condition numbers related to Moore-Penrose inverses and Drazin inverses 5.5 The local conjugacy of a C1-mapping 6. Some Related Topics; 6.1 Perturbation of reduced minimum modulus; 6.2 Perturbation analysis for the consistent operator equation on Banach spaces; 6.3 Fredholm elements relative to a homomorphism and their indices; 6.4 Lifting a Moore-Penrose inverse from quotient C*-algebras; 6.5 Approximate polar decomposition in C*-algebras; 6.6 The reduced minimum modulus relative to a quotient C*- algebra; 6.7 Notes; Appendix A Some Results From Topology And Analysis; A.1 Some topological results; A.2 Holomorphic vector-valued functions A.3 Inverse Function Theorem Appendix B More On C*-Algebras; B.1 Some basic results in C*-algebras; B.2 Lifting problems about projections; B.3 K-theory for C*-algebras; Bibliography; Index |
| Record Nr. | UNINA-9910451803803321 |
|
Xue Yifeng
|
||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stable perturbations of operators and related topics [[electronic resource] /] / Yifeng Xue
| Stable perturbations of operators and related topics [[electronic resource] /] / Yifeng Xue |
| Autore | Xue Yifeng |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (305 p.) |
| Disciplina | 519.22 |
| Soggetto topico | Integral operators |
| ISBN |
1-280-66990-X
9786613646835 981-4383-60-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Basics in Functional Analysis; 1.1 Banach spaces and Hilbert spaces; 1.2 Reduced minimum moduli of densely-defined operators; 1.3 The gap function of subspaces; 1.4 Banach algebras; 1.5 C*-algebras; 1.6 Notes; 2. Stable Perturbation of Densely-Defined Closed Operators; 2.1 Generalized inverses of linear operators on Banach spaces; 2.2 Stable perturbation of operators; 2.3 Perturbation analysis of the operator equation Ax = b; 2.4 Generalized inverses in Banach algebras; 2.5 Some applications of stable perturbations; 2.6 Notes
3. Moore-Penrose Inverse And Its Stable Perturbation 3.1 The Moore-Penrose inverse; 3.2 The reverse order law of the Moore-Penrose inverses; 3.3 Stable perturbation of closed operators in Hilbert spaces; 3.4 The representations of certain Moore-Penrose inverses; 3.5 Moore-Penrose inverses in C*-algebras; 3.6 Notes; 4. Drazin Inverses, T -S Generalized Inverses And Their Perturbations; 4.1 Drazin inverses on Banach spaces; 4.2 The outer generalized inverse with prescribed range and kernel; 4.3 The stable perturbation of Drazin inverses 4.4 The perturbation analysis of the outer generalized inverse with prescribed range and kernel 4.5 Drazin inverses and generalized Drazin inverses in Banach algebras; 4.6 Stable perturbation of Drazin inverses; 4.7 Representations for the Drazin inverses of sums, products and block matrices; 4.8 Notes; 5. Miscellaneous Applications; 5.1 The Generalized Bott-Duffin inverse of an operator on a Hilbert Space; 5.2 Some applications of Moore-Penrose inverses in frame theory; 5.3 Generalized Cowen-Douglas mappings; 5.4 Condition numbers related to Moore-Penrose inverses and Drazin inverses 5.5 The local conjugacy of a C1-mapping 6. Some Related Topics; 6.1 Perturbation of reduced minimum modulus; 6.2 Perturbation analysis for the consistent operator equation on Banach spaces; 6.3 Fredholm elements relative to a homomorphism and their indices; 6.4 Lifting a Moore-Penrose inverse from quotient C*-algebras; 6.5 Approximate polar decomposition in C*-algebras; 6.6 The reduced minimum modulus relative to a quotient C*- algebra; 6.7 Notes; Appendix A Some Results From Topology And Analysis; A.1 Some topological results; A.2 Holomorphic vector-valued functions A.3 Inverse Function Theorem Appendix B More On C*-Algebras; B.1 Some basic results in C*-algebras; B.2 Lifting problems about projections; B.3 K-theory for C*-algebras; Bibliography; Index |
| Record Nr. | UNINA-9910779272303321 |
|
Xue Yifeng
|
||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stable perturbations of operators and related topics / / Yifeng Xue
| Stable perturbations of operators and related topics / / Yifeng Xue |
| Autore | Xue Yifeng |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (305 p.) |
| Disciplina | 519.22 |
| Soggetto topico | Integral operators |
| ISBN |
1-280-66990-X
9786613646835 981-4383-60-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Basics in Functional Analysis; 1.1 Banach spaces and Hilbert spaces; 1.2 Reduced minimum moduli of densely-defined operators; 1.3 The gap function of subspaces; 1.4 Banach algebras; 1.5 C*-algebras; 1.6 Notes; 2. Stable Perturbation of Densely-Defined Closed Operators; 2.1 Generalized inverses of linear operators on Banach spaces; 2.2 Stable perturbation of operators; 2.3 Perturbation analysis of the operator equation Ax = b; 2.4 Generalized inverses in Banach algebras; 2.5 Some applications of stable perturbations; 2.6 Notes
3. Moore-Penrose Inverse And Its Stable Perturbation 3.1 The Moore-Penrose inverse; 3.2 The reverse order law of the Moore-Penrose inverses; 3.3 Stable perturbation of closed operators in Hilbert spaces; 3.4 The representations of certain Moore-Penrose inverses; 3.5 Moore-Penrose inverses in C*-algebras; 3.6 Notes; 4. Drazin Inverses, T -S Generalized Inverses And Their Perturbations; 4.1 Drazin inverses on Banach spaces; 4.2 The outer generalized inverse with prescribed range and kernel; 4.3 The stable perturbation of Drazin inverses 4.4 The perturbation analysis of the outer generalized inverse with prescribed range and kernel 4.5 Drazin inverses and generalized Drazin inverses in Banach algebras; 4.6 Stable perturbation of Drazin inverses; 4.7 Representations for the Drazin inverses of sums, products and block matrices; 4.8 Notes; 5. Miscellaneous Applications; 5.1 The Generalized Bott-Duffin inverse of an operator on a Hilbert Space; 5.2 Some applications of Moore-Penrose inverses in frame theory; 5.3 Generalized Cowen-Douglas mappings; 5.4 Condition numbers related to Moore-Penrose inverses and Drazin inverses 5.5 The local conjugacy of a C1-mapping 6. Some Related Topics; 6.1 Perturbation of reduced minimum modulus; 6.2 Perturbation analysis for the consistent operator equation on Banach spaces; 6.3 Fredholm elements relative to a homomorphism and their indices; 6.4 Lifting a Moore-Penrose inverse from quotient C*-algebras; 6.5 Approximate polar decomposition in C*-algebras; 6.6 The reduced minimum modulus relative to a quotient C*- algebra; 6.7 Notes; Appendix A Some Results From Topology And Analysis; A.1 Some topological results; A.2 Holomorphic vector-valued functions A.3 Inverse Function Theorem Appendix B More On C*-Algebras; B.1 Some basic results in C*-algebras; B.2 Lifting problems about projections; B.3 K-theory for C*-algebras; Bibliography; Index |
| Record Nr. | UNINA-9910809108903321 |
|
Xue Yifeng
|
||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana
| Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana |
| Autore | Ivanov Valentin Konstantinovich |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 295 |
| Altri autori (Persone) |
VasinV. V
TananaVitaliĭ Pavlovich |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Operator equations
Integral operators Numerical analysis - Improperly posed problems |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-094482-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to the Second Edition -- Preface -- Contents -- Introduction -- Chapter 1. Well-posedness of problems -- Chapter 2. Regularizing family of operators and sets of uniform regularization -- Chapter 3. Basic techniques for constructing regularizing algorithms -- Chapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation -- Chapter 5. Determination of values of unbounded operators -- Chapter 6. Finite-dimensional approximation of regulirizing algorithms -- Bibliography -- Additional Bibliography to the Second Edition -- Comments to Additional Bibliography -- Index |
| Record Nr. | UNINA-9910463651403321 |
|
Ivanov Valentin Konstantinovich
|
||
| Utrecht ; ; Boston : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana
| Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana |
| Autore | Ivanov Valentin Konstantinovich |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 295 |
| Altri autori (Persone) |
VasinV. V
TananaVitaliĭ Pavlovich |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Operator equations
Integral operators Numerical analysis - Improperly posed problems |
| Soggetto non controllato |
Banach spaces
Error Estimation Hilbert Spaces Linear Ill-posed Problems Optimality Method Sets of Uniform Regularization |
| ISBN | 3-11-094482-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to the Second Edition -- Preface -- Contents -- Introduction -- Chapter 1. Well-posedness of problems -- Chapter 2. Regularizing family of operators and sets of uniform regularization -- Chapter 3. Basic techniques for constructing regularizing algorithms -- Chapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation -- Chapter 5. Determination of values of unbounded operators -- Chapter 6. Finite-dimensional approximation of regulirizing algorithms -- Bibliography -- Additional Bibliography to the Second Edition -- Comments to Additional Bibliography -- Index |
| Record Nr. | UNINA-9910789090803321 |
|
Ivanov Valentin Konstantinovich
|
||
| Utrecht ; ; Boston : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana
| Theory of linear ill-posed problems and its applications / / V.K. Ivanov, V.V. Vasin and V.P. Tanana |
| Autore | Ivanov Valentin Konstantinovich |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 295 |
| Altri autori (Persone) |
VasinV. V
TananaVitaliĭ Pavlovich |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Operator equations
Integral operators Numerical analysis - Improperly posed problems |
| Soggetto non controllato |
Banach spaces
Error Estimation Hilbert Spaces Linear Ill-posed Problems Optimality Method Sets of Uniform Regularization |
| ISBN | 3-11-094482-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to the Second Edition -- Preface -- Contents -- Introduction -- Chapter 1. Well-posedness of problems -- Chapter 2. Regularizing family of operators and sets of uniform regularization -- Chapter 3. Basic techniques for constructing regularizing algorithms -- Chapter 4. Optimality and stability of methods for solving ill-posed problems. Error estimation -- Chapter 5. Determination of values of unbounded operators -- Chapter 6. Finite-dimensional approximation of regulirizing algorithms -- Bibliography -- Additional Bibliography to the Second Edition -- Comments to Additional Bibliography -- Index |
| Record Nr. | UNINA-9910824743103321 |
|
Ivanov Valentin Konstantinovich
|
||
| Utrecht ; ; Boston : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of Sobolev multipliers : with applications to differential and integral operators / Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
| Theory of Sobolev multipliers : with applications to differential and integral operators / Vladimir G. Maz'ya, Tatyana O. Shaposhnikova |
| Autore | Maz'ya, Vladimir G. |
| Pubbl/distr/stampa | Berlin : Springer, c2009 |
| Descrizione fisica | xiii, 609 p. : ill. ; 24 cm |
| Disciplina | 515.782 |
| Altri autori (Persone) | Shaposhnikova, Tatyana O. |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics ; 0072-7830 ; 337 |
| Soggetto topico |
Multipliers (Mathematical analysis)
Sobolev spaces Differential operators Integral operators |
| ISBN |
9783540694908
3540694900 |
| Classificazione |
AMS 46E35
AMS 26D10 AMS 42B25 LC QA323.M392 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000114489707536 |
|
Maz'ya, Vladimir G.
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| Berlin : Springer, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
