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Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi
| Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
| Descrizione fisica | 1 online resource (352 pages) |
| Disciplina | 510 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-094329-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
| Record Nr. | UNINA-9910463702703321 |
Lorenzi A.
|
||
| Utrecht, the Netherlands : , : VSP, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi
| Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
| Descrizione fisica | 1 online resource (352 pages) |
| Disciplina | 510 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
| ISBN | 3-11-094329-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
| Record Nr. | UNINA-9910788955003321 |
|
Lorenzi A.
|
||
| Utrecht, the Netherlands : , : VSP, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi
| Identification problems of wave phenomena : theory and numerics / / S.I. Kabanikhin and A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1999 |
| Descrizione fisica | 1 online resource (352 pages) |
| Disciplina | 510 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Wave equation
Waves - Mathematics Nonlinear wave equations Inverse problems (Differential equations) Volterra equations Number theory |
| ISBN | 3-11-094329-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Statements of the direct and inverse problems. Examples -- Chapter 2. Volterra operator equations -- Chapter 3. Inverse problems for Maxwell's equations -- Chapter 4. Linearization and Newton - Kantorovich method -- Chapter 5. The Gel'fand - Levitan Method -- Chapter 6. Regularization -- Chapter 7. The method of the optimal control -- Chapter 8. Inversion of finite-difference schemes -- Chapter 9. Strongly ill-posed problems -- Chapter 10. Identification problems related to first-order scalar semilinear equations -- Chapter 11. An identification problem for a first-order integro-differential equation -- Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics -- Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation -- Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems -- Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation -- Chapter 16. Inverse problems in Electromagnetoelasticity -- Bibliography |
| Record Nr. | UNINA-9910814642503321 |
|
Lorenzi A.
|
||
| Utrecht, the Netherlands : , : VSP, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by small bodies of arbitrary shapes [[electronic resource] /] / Alexander G. Ramm
| Wave scattering by small bodies of arbitrary shapes [[electronic resource] /] / Alexander G. Ramm |
| Autore | Ramm A. G (Alexander G.) |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina | 530.124 |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Electrostatics - Mathematics Iterative methods (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-89696-9
9786611896966 981-270-120-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; Chapter 1 Basic Problems; Chapter 2 Iterative Processes for Solving Fredholm's Integral Equations for Static Problems; Chapter 3 Calculating Electric Capacitance; Chapter 4 Numerical Examples; Chapter 5 Calculating Polarizability Tensors; Chapter 6 Iterative Methods: Mathematical Results; Chapter 7 Wave Scattering by Small Bodies; Chapter 8 Fredholm Alternative and a Characterization of Fredholm Operators; Chapter 9 Boundary-Value Problems in Rough Domains; Chapter 10 Low Frequency Asymptotics; Chapter 11 Finding Small Inhomogeneities from Scattering Data
Chapter 12 Modified Rayleigh Conjecture and Applications Appendix A Optimal with Respect to Accuracy Algorithms for Calculation of Multidimensional Weakly Singular Integrals and Applications to Calculation of Capacitances of Conductors of Arbitrary Shapes; Problems; Bibliographical Notes; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910450677003321 |
|
Ramm A. G (Alexander G.)
|
||
| Hackensack, NJ ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by small bodies of arbitrary shapes [[electronic resource] /] / Alexander G. Ramm
| Wave scattering by small bodies of arbitrary shapes [[electronic resource] /] / Alexander G. Ramm |
| Autore | Ramm A. G (Alexander G.) |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina | 530.124 |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Electrostatics - Mathematics Iterative methods (Mathematics) |
| ISBN |
1-281-89696-9
9786611896966 981-270-120-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; Chapter 1 Basic Problems; Chapter 2 Iterative Processes for Solving Fredholm's Integral Equations for Static Problems; Chapter 3 Calculating Electric Capacitance; Chapter 4 Numerical Examples; Chapter 5 Calculating Polarizability Tensors; Chapter 6 Iterative Methods: Mathematical Results; Chapter 7 Wave Scattering by Small Bodies; Chapter 8 Fredholm Alternative and a Characterization of Fredholm Operators; Chapter 9 Boundary-Value Problems in Rough Domains; Chapter 10 Low Frequency Asymptotics; Chapter 11 Finding Small Inhomogeneities from Scattering Data
Chapter 12 Modified Rayleigh Conjecture and Applications Appendix A Optimal with Respect to Accuracy Algorithms for Calculation of Multidimensional Weakly Singular Integrals and Applications to Calculation of Capacitances of Conductors of Arbitrary Shapes; Problems; Bibliographical Notes; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910783915403321 |
|
Ramm A. G (Alexander G.)
|
||
| Hackensack, NJ ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by small bodies of arbitrary shapes / / Alexander G. Ramm
| Wave scattering by small bodies of arbitrary shapes / / Alexander G. Ramm |
| Autore | Ramm A. G (Alexander G.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hackensack, NJ ; ; London, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina | 530.124 |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Electrostatics - Mathematics Iterative methods (Mathematics) |
| ISBN |
1-281-89696-9
9786611896966 981-270-120-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Introduction; Chapter 1 Basic Problems; Chapter 2 Iterative Processes for Solving Fredholm's Integral Equations for Static Problems; Chapter 3 Calculating Electric Capacitance; Chapter 4 Numerical Examples; Chapter 5 Calculating Polarizability Tensors; Chapter 6 Iterative Methods: Mathematical Results; Chapter 7 Wave Scattering by Small Bodies; Chapter 8 Fredholm Alternative and a Characterization of Fredholm Operators; Chapter 9 Boundary-Value Problems in Rough Domains; Chapter 10 Low Frequency Asymptotics; Chapter 11 Finding Small Inhomogeneities from Scattering Data
Chapter 12 Modified Rayleigh Conjecture and Applications Appendix A Optimal with Respect to Accuracy Algorithms for Calculation of Multidimensional Weakly Singular Integrals and Applications to Calculation of Capacitances of Conductors of Arbitrary Shapes; Problems; Bibliographical Notes; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910828817603321 |
|
Ramm A. G (Alexander G.)
|
||
| Hackensack, NJ ; ; London, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910454985703321 |
|
Roach G. F (Gary Francis)
|
||
| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910778218403321 |
|
Roach G. F (Gary Francis)
|
||
| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave scattering by time dependent perturbations : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910813420003321 |
|
Roach G. F (Gary Francis)
|
||
| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
