Formulas in inverse and ill-posed problems / / Yu.E.Anikonov |
Autore | Anikonov I͡U. E (I͡Uriĭ Evgenʹevich) |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht, the Netherlands : , : VSP, , 1997 |
Descrizione fisica | 1 online resource (209 pages) |
Disciplina | 515.35 |
Collana | Inverse and ill-posed problems series |
Soggetto topico | Inverse problems (Differential equations) |
ISBN | 3-11-090013-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- INTRODUCTION -- CHAPTER 1. Equations and relations in inverse and ill-posed problems -- CHAPTER 2. Formulas in inverse problems for evolution equations of the general type -- CHAPTER 3. Formulas in inverse problems for the kinematic problems in seismology -- CHAPTER 4. Formulas in integral geometry and tomography -- CHAPTER 5. The analytical representation of solutions of some inverse and ill-posed problems -- CHAPTER 6. Mathematical models in the problems of ethnogeny and evolution of populations -- References |
Record Nr. | UNINA-9910814640503321 |
Anikonov I͡U. E (I͡Uriĭ Evgenʹevich)
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Utrecht, the Netherlands : , : VSP, , 1997 | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometry of the generalized geodesic flow and inverse spectral problems / / Vesselin M. Petkov, Luchezar N. Stoyanov |
Autore | Petkov Vesselin M. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2017 |
Descrizione fisica | 1 online resource (429 pages) : illustrations, graphs, tables |
Disciplina | 515/.7222 |
Soggetto topico |
Spectral theory (Mathematics)
Inverse problems (Differential equations) Geometry, Differential Geodesic flows Flows (Differentiable dynamical systems) |
ISBN |
1-119-10769-5
1-119-10767-9 1-119-10768-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910166639003321 |
Petkov Vesselin M.
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Chichester, England : , : Wiley, , 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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Geometry of the generalized geodesic flow and inverse spectral problems / / Vesselin M. Petkov, Luchezar N. Stoyanov |
Autore | Petkov Vesselin M. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2017 |
Descrizione fisica | 1 online resource (429 pages) : illustrations, graphs, tables |
Disciplina | 515/.7222 |
Soggetto topico |
Spectral theory (Mathematics)
Inverse problems (Differential equations) Geometry, Differential Geodesic flows Flows (Differentiable dynamical systems) |
ISBN |
1-119-10769-5
1-119-10767-9 1-119-10768-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910830657203321 |
Petkov Vesselin M.
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Chichester, England : , : Wiley, , 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-107-23477-8
1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 Monte Carlo integration; 1.9 Importance sampling; 1.10 Stochastic processes; 1.11 Markov chains; 1.12 Homogeneous, inhomogeneous, irreducible, and aperiodic Markov chains; 1.13 The limiting probability; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 3 Monte Carlo methods; 3.1 Enumerative or grid-search techniques; 3.2 Monte Carlo inversion; 3.3 Hybrid Monte Carlo-linear inversion 3.4 Directed Monte Carlo methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910465378203321 |
Sen Mrinal K.
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Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-108-44584-5
1-107-23477-8 1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Classificazione | SCI032000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 Monte Carlo integration; 1.9 Importance sampling; 1.10 Stochastic processes; 1.11 Markov chains; 1.12 Homogeneous, inhomogeneous, irreducible, and aperiodic Markov chains; 1.13 The limiting probability; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 3 Monte Carlo methods; 3.1 Enumerative or grid-search techniques; 3.2 Monte Carlo inversion; 3.3 Hybrid Monte Carlo-linear inversion 3.4 Directed Monte Carlo methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910792070103321 |
Sen Mrinal K.
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Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Global optimization methods in geophysical inversion / / Mrinal K. Sen, University of Texas, Austin, USA and Paul L. Stoffa, The University of Texas, Austin, USA [[electronic resource]] |
Autore | Sen Mrinal K. |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 289 pages) : digital, PDF file(s) |
Disciplina | 550.1/515357 |
Soggetto topico |
Geological modeling
Geophysics - Mathematical models Inverse problems (Differential equations) Mathematical optimization |
ISBN |
1-108-44584-5
1-107-23477-8 1-139-61021-X 1-139-60864-9 1-139-62509-8 0-511-99757-4 1-139-61579-3 1-139-61207-7 1-299-25764-X |
Classificazione | SCI032000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Global Optimization Methods in Geophysical Inversion; Title; Copyright; Contents; Preface to the first edition (1995); Preface to the second edition (2013); 1 Preliminary statistics; 1.1 Random variables; 1.2 Random numbers; 1.3 Probability; 1.4 Probability distribution, distribution function, and density function; 1.4.1 Examples of distribution and density functions; 1.4.1.1 Normal or Gaussian distribution; 1.4.1.2 Cauchy distribution; 1.4.1.3 Gibbs' distribution; 1.5 Joint and marginal probability distributions; 1.6 Mathematical expectation, moments, variances, and covariances
1.7 Conditional probability and Bayes' rule1.8 Monte Carlo integration; 1.9 Importance sampling; 1.10 Stochastic processes; 1.11 Markov chains; 1.12 Homogeneous, inhomogeneous, irreducible, and aperiodic Markov chains; 1.13 The limiting probability; 2 Direct, linear, and iterative-linear inverse methods; 2.1 Direct inversion methods; 2.2 Model-based inversion methods; 2.2.1 Linear/linearized methods; 2.2.2 Iterative-linear or gradient-based methods; 2.2.3 Enumerative or grid-search method; 2.2.4 Monte Carlo method; 2.2.4.1 Directed Monte Carlo methods; 2.3 Linear/linearized inverse methods 2.3.1 Existence2.3.2 Uniqueness; 2.3.3 Stability; 2.3.4 Robustness; 2.4 Solution of linear inverse problems; 2.4.1 Method of least squares; 2.4.1.1 Maximum-likelihood methods; 2.4.2 Stability and uniqueness - singular-value-decomposition (SVD) analysis; 2.4.3 Methods of constraining the solution; 2.4.3.1 Positivity constraint; 2.4.3.2 Prior model; 2.4.3.3 Model smoothness; 2.4.4 Uncertainty estimates; 2.4.5 Regularization; 2.4.5.1 Method for choosing the regularization parameter; The L-curve; Generalized cross-validation (GCV) method; Morozov's discrepancy principle Engl's modified discrepancy principle2.4.6 General Lp Norm; 2.4.6.1 IRLS; 2.4.6.2 Total variation regularization (TVR); 2.5 Iterative methods for non-linear problems: local optimization; 2.5.1 Quadratic function; 2.5.2 Newton's method; 2.5.3 Steepest descent; 2.5.4 Conjugate gradient; 2.5.5 Gauss-Newton; 2.6 Solution using probabilistic formulation; 2.6.1 Linear case; 2.6.2 Case of weak non-linearity; 2.6.3 Quasi-linear case; 2.6.4 Non-linear case; 2.7 Summary; 3 Monte Carlo methods; 3.1 Enumerative or grid-search techniques; 3.2 Monte Carlo inversion; 3.3 Hybrid Monte Carlo-linear inversion 3.4 Directed Monte Carlo methods4 Simulated annealing methods; 4.1 Metropolis algorithm; 4.1.1 Mathematical model and asymptotic convergence; 4.1.1.1 Irreducibility; 4.1.1.2 Aperiodicity; 4.1.1.3 Limiting probability; 4.2 Heat bath algorithm; 4.2.1 Mathematical model and asymptotic convergence; 4.2.1.1 Transition probability matrix; 4.2.1.2 Irreducibility; 4.2.1.3 Aperiodicity; 4.2.1.4 Limiting probability; 4.3 Simulated annealing without rejected moves; 4.4 Fast simulated annealing (FSA); 4.5 Very fast simulated reannealing; 4.6 Mean field annealing; 4.6.1 Neurons and neural networks 4.6.2 Hopfield neural networks |
Record Nr. | UNINA-9910822272103321 |
Sen Mrinal K.
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Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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.
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Utrecht, the Netherlands : , : VSP, , 1999 | ||
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Lo trovi qui: Univ. Federico II | ||
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Integral geometry and inverse problems for kinetic equations / / A. Kh. Amirov |
Autore | Amirov A. Kh |
Edizione | [Reprint 2014] |
Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
Descrizione fisica | 1 online resource (209 pages) |
Disciplina | 516.3/62 |
Collana | Inverse and ill-posed problems series |
Soggetto topico |
Integral geometry
Inverse problems (Differential equations) Chemical kinetics - Mathematics |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-094094-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Abstract -- Contents -- Introduction -- Chapter 1. Solvability of problems of integral geometry -- Chapter 2. Inverse problems for kinetic equations -- Chapter 3. Evolutionary equations -- Chapter 4. Inverse problems for second order differential equations -- Appendix Α. -- Bibliography |
Record Nr. | UNINA-9910463726903321 |
Amirov A. Kh
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Utrecht ; ; Boston : , : VSP, , 2001 | ||
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Lo trovi qui: Univ. Federico II | ||
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