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Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910453789403321 |
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto non controllato |
Iterative Methods
Operator Splitting Regularized Additive Schemes Summarized Approximation Transition Operator Approximations Two-Component Splitting Vector Additive Schemes |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910790824503321 |
|
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto non controllato |
Iterative Methods
Operator Splitting Regularized Additive Schemes Summarized Approximation Transition Operator Approximations Two-Component Splitting Vector Additive Schemes |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910816360703321 |
|
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910452494703321 |
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Ralph Claire C.
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| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910779885203321 |
|
Ralph Claire C.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]]
| Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
| Autore | Ralph Claire C. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (vi, 139 pages) : digital, PDF file(s) |
| Disciplina | 515.7242 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Differential operators
Arithmetic functions p-adic numbers |
| ISBN |
1-139-88774-2
1-139-08466-6 1-107-08994-8 1-107-10182-4 1-107-09621-9 1-107-10420-3 1-107-09312-0 |
| Classificazione |
MAT 123f
SI 320 SK 540 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
| Record Nr. | UNINA-9910810153203321 |
|
Ralph Claire C.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic differential operators over the p-adic integers / Claire C. Ralph, Santiago R. Simanca
| Arithmetic differential operators over the p-adic integers / Claire C. Ralph, Santiago R. Simanca |
| Autore | Ralph, Claire C. |
| Pubbl/distr/stampa | Cambridge, UK ; New York : Cambridge University Press, 2012 |
| Descrizione fisica | vi, 139 p. ; 23 cm |
| Disciplina | 515.7242 |
| Altri autori (Persone) | Simanca, Santiago R. |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 396 |
| Soggetto topico |
Differential operators
Arithmetic functions P-adic numbers |
| ISBN | 9781107674141 |
| Classificazione |
AMS 11S80
LC QA241.R25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001807649707536 |
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Ralph, Claire C.
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| Cambridge, UK ; New York : Cambridge University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The Atiyah-Singer index theorem : an introduction / / Patrick Shanahan
| The Atiyah-Singer index theorem : an introduction / / Patrick Shanahan |
| Autore | Shanahan Patrick <1931-> |
| Edizione | [1st ed. 1978.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] |
| Descrizione fisica | 1 online resource (VIII, 228 p.) |
| Disciplina | 514.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Index theorems
Differential operators |
| ISBN | 3-540-35921-4 |
| Classificazione | 58G10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Statement of the theorem -- Applications of the index theorem -- Outline of the proof -- The atiyah-singer fixed point theorem -- Applications of the fixed point theorem. |
| Record Nr. | UNISA-996466536003316 |
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Shanahan Patrick <1931->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Convolution-like structures, differential operators and diffusion processes / / Rúben Sousa, Manuel Guerra, Semyon Yakubovich
| Convolution-like structures, differential operators and diffusion processes / / Rúben Sousa, Manuel Guerra, Semyon Yakubovich |
| Autore | Sousa Rúben (Mathematician) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (269 pages) |
| Disciplina | 512.86 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Convolutions (Mathematics)
Differential operators Diffusion processes Convolucions (Matemàtica) Operadors diferencials Processos de difusió |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05296-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation and Scope -- 1.2 Organization of the Book -- 2 Preliminaries -- 2.1 Continuous-Time Markov Processes -- 2.2 Sturm-Liouville Theory -- 2.2.1 Solutions of the Sturm-Liouville Equation -- 2.2.2 Eigenfunction Expansions -- 2.2.3 Diffusion Semigroups Generated by Sturm-Liouville Operators -- 2.2.4 Remarkable Particular Cases -- 2.3 Generalized Convolutions and Hypergroups -- 2.4 Harmonic Analysis with Respect to the Kingman Convolution -- 3 The Whittaker Convolution -- 3.1 A Special Case: The Kontorovich-Lebedev Convolution -- 3.2 The Product Formula for the Whittaker Function -- 3.3 Whittaker Translation -- 3.4 Index Whittaker Transforms -- 3.5 Whittaker Convolution of Measures -- 3.5.1 Infinitely Divisible Distributions -- 3.5.2 Lévy-Khintchine Type Representation -- 3.6 Lévy Processes with Respect to the Whittaker Convolution -- 3.6.1 Convolution Semigroups -- 3.6.2 Lévy and Gaussian Processes -- 3.6.3 Some Auxiliary Results on the Whittaker Translation -- 3.6.4 Moment Functions -- 3.6.5 Lévy-Type Characterization of the Shiryaev Process -- 3.7 Whittaker Convolution of Functions -- 3.7.1 Mapping Properties in the Spaces Lp(rα) -- 3.7.2 The Convolution Banach Algebra Lα,ν -- 3.8 Convolution-Type Integral Equations -- 4 Generalized Convolutions for Sturm-Liouville Operators -- 4.1 Known Results and Motivation -- 4.2 Laplace-Type Representation -- 4.3 The Existence Theorem for Sturm-Liouville Product Formulas -- 4.3.1 The Associated Hyperbolic Cauchy Problem -- 4.3.2 The Time-Shifted Product Formula -- 4.3.3 The Product Formula for wλ as the Limit Case -- 4.4 Sturm-Liouville Transform of Measures -- 4.5 Sturm-Liouville Convolution of Measures -- 4.5.1 Infinite Divisibility and Lévy-Khintchine Type Representation -- 4.5.2 Convolution Semigroups.
4.5.3 Additive and Lévy Processes -- 4.6 Sturm-Liouville Hypergroups -- 4.6.1 The Nondegenerate Case -- 4.6.2 The Degenerate Case: Degenerate Hypergroups of Full Support -- 4.7 Harmonic Analysis on Lp Spaces -- 4.7.1 A Family of L1 Spaces -- 4.7.2 Application to Convolution-Type Integral Equations -- 5 Convolution-Like Structures on Multidimensional Spaces -- 5.1 Convolutions Associated with Conservative Strong Feller Semigroups -- 5.2 Nonexistence of Convolutions: Diffusion Processes on Bounded Domains -- 5.2.1 Special Cases and Numerical Examples -- 5.2.2 Some Auxiliary Results -- 5.2.3 Eigenfunction Expansions, Critical Points and Nonexistence Theorems -- 5.3 Nonexistence of Convolutions: One-Dimensional Diffusions -- 5.4 Families of Convolutions on Riemannian Structures with Cone-Like Metrics -- 5.4.1 The Eigenfunction Expansion of the Laplace-Beltrami Operator -- 5.4.2 Product Formulas and Convolutions -- 5.4.3 Infinitely Divisible Measures and Convolution Semigroups -- 5.4.4 Special Cases -- 5.4.5 Product Formulas and Convolutions Associated with Elliptic Operators on Subsets of R2 -- A Some Open Problems -- References -- Index. |
| Record Nr. | UNISA-996483172603316 |
|
Sousa Rúben (Mathematician)
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Convolution-like structures, differential operators and diffusion processes / / Rúben Sousa, Manuel Guerra, Semyon Yakubovich
| Convolution-like structures, differential operators and diffusion processes / / Rúben Sousa, Manuel Guerra, Semyon Yakubovich |
| Autore | Sousa Rúben (Mathematician) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (269 pages) |
| Disciplina | 512.86 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Convolutions (Mathematics)
Differential operators Diffusion processes Convolucions (Matemàtica) Operadors diferencials Processos de difusió |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-05296-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation and Scope -- 1.2 Organization of the Book -- 2 Preliminaries -- 2.1 Continuous-Time Markov Processes -- 2.2 Sturm-Liouville Theory -- 2.2.1 Solutions of the Sturm-Liouville Equation -- 2.2.2 Eigenfunction Expansions -- 2.2.3 Diffusion Semigroups Generated by Sturm-Liouville Operators -- 2.2.4 Remarkable Particular Cases -- 2.3 Generalized Convolutions and Hypergroups -- 2.4 Harmonic Analysis with Respect to the Kingman Convolution -- 3 The Whittaker Convolution -- 3.1 A Special Case: The Kontorovich-Lebedev Convolution -- 3.2 The Product Formula for the Whittaker Function -- 3.3 Whittaker Translation -- 3.4 Index Whittaker Transforms -- 3.5 Whittaker Convolution of Measures -- 3.5.1 Infinitely Divisible Distributions -- 3.5.2 Lévy-Khintchine Type Representation -- 3.6 Lévy Processes with Respect to the Whittaker Convolution -- 3.6.1 Convolution Semigroups -- 3.6.2 Lévy and Gaussian Processes -- 3.6.3 Some Auxiliary Results on the Whittaker Translation -- 3.6.4 Moment Functions -- 3.6.5 Lévy-Type Characterization of the Shiryaev Process -- 3.7 Whittaker Convolution of Functions -- 3.7.1 Mapping Properties in the Spaces Lp(rα) -- 3.7.2 The Convolution Banach Algebra Lα,ν -- 3.8 Convolution-Type Integral Equations -- 4 Generalized Convolutions for Sturm-Liouville Operators -- 4.1 Known Results and Motivation -- 4.2 Laplace-Type Representation -- 4.3 The Existence Theorem for Sturm-Liouville Product Formulas -- 4.3.1 The Associated Hyperbolic Cauchy Problem -- 4.3.2 The Time-Shifted Product Formula -- 4.3.3 The Product Formula for wλ as the Limit Case -- 4.4 Sturm-Liouville Transform of Measures -- 4.5 Sturm-Liouville Convolution of Measures -- 4.5.1 Infinite Divisibility and Lévy-Khintchine Type Representation -- 4.5.2 Convolution Semigroups.
4.5.3 Additive and Lévy Processes -- 4.6 Sturm-Liouville Hypergroups -- 4.6.1 The Nondegenerate Case -- 4.6.2 The Degenerate Case: Degenerate Hypergroups of Full Support -- 4.7 Harmonic Analysis on Lp Spaces -- 4.7.1 A Family of L1 Spaces -- 4.7.2 Application to Convolution-Type Integral Equations -- 5 Convolution-Like Structures on Multidimensional Spaces -- 5.1 Convolutions Associated with Conservative Strong Feller Semigroups -- 5.2 Nonexistence of Convolutions: Diffusion Processes on Bounded Domains -- 5.2.1 Special Cases and Numerical Examples -- 5.2.2 Some Auxiliary Results -- 5.2.3 Eigenfunction Expansions, Critical Points and Nonexistence Theorems -- 5.3 Nonexistence of Convolutions: One-Dimensional Diffusions -- 5.4 Families of Convolutions on Riemannian Structures with Cone-Like Metrics -- 5.4.1 The Eigenfunction Expansion of the Laplace-Beltrami Operator -- 5.4.2 Product Formulas and Convolutions -- 5.4.3 Infinitely Divisible Measures and Convolution Semigroups -- 5.4.4 Special Cases -- 5.4.5 Product Formulas and Convolutions Associated with Elliptic Operators on Subsets of R2 -- A Some Open Problems -- References -- Index. |
| Record Nr. | UNINA-9910585774303321 |
|
Sousa Rúben (Mathematician)
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
