Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the Conference on Analytical and Numerical approaches to Asymptotic Problems, University of Nijmegen, the Netherlands, June 9-13, 1980 / edited by O. Axelsson, L.S. Frank, and A. van der Sluis
| Analytical and numerical approaches to asymptotic problems in analysis : proceedings of the Conference on Analytical and Numerical approaches to Asymptotic Problems, University of Nijmegen, the Netherlands, June 9-13, 1980 / edited by O. Axelsson, L.S. Frank, and A. van der Sluis |
| Autore | Frank, Leonid S. |
| Pubbl/distr/stampa | Amsterdam ; New York : North-Holland, c1981 |
| Descrizione fisica | xvi, 381 p. : ill. ; 24 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Sluis, Abraham : van der
Axelsson, Owe |
| Collana | North-Holland mathematics studies, 0304-0208 ; 47 |
| Soggetto topico |
Differential equations
Differential equations - Congresses Partial differential equations - Congresses |
| ISBN | 0444861319 |
| Classificazione |
AMS 35-XX
LC QA370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000684139707536 |
Frank, Leonid S.
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| Amsterdam ; New York : North-Holland, c1981 | ||
| Lo trovi qui: Univ. del Salento | ||
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Analytical Methods in Applied Mathematics / / by Edmundo Capelas de Oliveira, José Emílio Maiorino
| Analytical Methods in Applied Mathematics / / by Edmundo Capelas de Oliveira, José Emílio Maiorino |
| Autore | Oliveira Edmundo Capelas de |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (395 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) | MaiorinoJosé Emílio |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Engineering mathematics Engineering - Data processing Sequences (Mathematics) Mathematical analysis Functions, Special Differential Equations Mathematical and Computational Engineering Applications Sequences, Series, Summability Integral Transforms and Operational Calculus Special Functions Equacions diferencials Successions (Matemàtica) Anàlisi matemàtica Funcions especials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031747946
3031747941 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Ordinary Differential Equations -- Power Series and the Frobenius Method -- Laurent Series and Residues -- Special Functions -- Fourier, Fourier-Bessel and Fourier-Legendre Series -- Laplace and Fourier Transforms -- Sturm-Liouville Systems -- Partial Differential Equations -- Separation of Variables -- Fractional Calculus -- Applications -- Answers and Hints -- Index. |
| Record Nr. | UNINA-9910983074703321 |
Oliveira Edmundo Capelas de
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Lo trovi qui: Univ. Federico II | ||
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Analytically uniform spaces and their applications to convolution equations / / C. A. Berenstein and M. A. Dostal
| Analytically uniform spaces and their applications to convolution equations / / C. A. Berenstein and M. A. Dostal |
| Autore | Berenstein Carlos A. |
| Edizione | [1st ed. 1972.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1972] |
| Descrizione fisica | 1 online resource (VIII, 136 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Fourier transformations
Differential equations, Partial Locally convex spaces |
| ISBN | 3-540-37163-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definition and basic properties of analytically uniform spaces -- Examples of AU-spaces -- Spaces of approximate solutions to certain convolution equations -- The fundamental principle. |
| Record Nr. | UNISA-996466528803316 |
Berenstein Carlos A.
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1972] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs [[electronic resource] /] / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabChristoph ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNISA-996558453803316 |
Dũng Dinh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / / by Dinh Dũng, Van Kien Nguyen, Christoph Schwab, Jakob Zech |
| Autore | Dũng Dinh |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
NguyenVan Kien
SchwabCh (Christoph) ZechJakob |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Probabilities Numerical analysis Functional analysis Differential Equations Probability Theory Numerical Analysis Functional Analysis Equacions en derivades parcials Processos gaussians Camps aleatoris Anàlisi matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 9783031383847 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgement -- Contents -- List of Symbols -- List of Abbreviations -- 1 Introduction -- 1.1 An Example -- 1.2 Contributions -- 1.3 Scope of Results -- 1.4 Structure and Content of This Text -- 1.5 Notation and Conventions -- 2 Preliminaries -- 2.1 Finite Dimensional Gaussian Measures -- 2.1.1 Univariate Gaussian Measures -- 2.1.2 Multivariate Gaussian Measures -- 2.1.3 Hermite Polynomials -- 2.2 Gaussian Measures on Separable Locally Convex Spaces -- 2.2.1 Cylindrical Sets -- 2.2.2 Definition and Basic Properties of Gaussian Measures -- 2.3 Cameron-Martin Space -- 2.4 Gaussian Product Measures -- 2.5 Gaussian Series -- 2.5.1 Some Abstract Results -- 2.5.2 Karhunen-Loève Expansion -- 2.5.3 Multiresolution Representations of GRFs -- 2.5.4 Periodic Continuation of a Stationary GRF -- 2.5.5 Sampling Stationary GRFs -- 2.6 Finite Element Discretization -- 2.6.1 Function Spaces -- 2.6.2 Finite Element Interpolation -- 3 Elliptic Divergence-Form PDEs with Log-Gaussian Coefficient -- 3.1 Statement of the Problem and Well-Posedness -- 3.2 Lipschitz Continuous Dependence -- 3.3 Regularity of the Solution -- 3.4 Random Input Data -- 3.5 Parametric Deterministic Coefficient -- 3.5.1 Deterministic Countably Parametric Elliptic PDEs -- 3.5.2 Probabilistic Setting -- 3.5.3 Deterministic Complex-Parametric Elliptic PDEs -- 3.6 Analyticity and Sparsity -- 3.6.1 Parametric Holomorphy -- 3.6.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.7 Parametric Hs(D)-Analyticity and Sparsity -- 3.7.1 Hs(D)-Analyticity -- 3.7.2 Sparsity of Wiener-Hermite PC Expansion Coefficients -- 3.8 Parametric Kondrat'ev Analyticity and Sparsity -- 3.8.1 Parametric Ks(D)-Analyticity -- 3.8.2 Sparsity of Ks-Norms of Wiener-Hermite PC Expansion Coefficients -- 3.9 Bibliographical Remarks -- 4 Sparsity for Holomorphic Functions.
4.1 (b,ξ,δ,X)-Holomorphy and Sparsity -- 4.2 (b,ξ,δ,X)-Holomorphy of Composite Functions -- 4.3 Examples of Holomorphic Data-to-Solution Maps -- 4.3.1 Linear Elliptic Divergence-Form PDE with Parametric Diffusion Coefficient -- 4.3.2 Linear Parabolic PDE with Parametric Coefficient -- 4.3.3 Linear Elastostatics with Log-Gaussian Modulus of Elasticity -- 4.3.4 Maxwell Equations with Log-Gaussian Permittivity -- 4.3.5 Linear Parametric Elliptic Systems and Transmission Problems -- 5 Parametric Posterior Analyticity and Sparsity in BIPs -- 5.1 Formulation and Well-Posedness -- 5.2 Posterior Parametric Holomorphy -- 5.3 Example: Parametric Diffusion Coefficient -- 6 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1 Smolyak Sparse-Grid Interpolation and Quadrature -- 6.1.1 Smolyak Sparse-Grid Interpolation -- 6.1.2 Smolyak Sparse-Grid Quadrature -- 6.2 Multiindex Sets -- 6.2.1 Number of Function Evaluations -- 6.2.2 Construction of (ck,ν)νF -- 6.2.3 Summability Properties of the Collection (ck,ν)νF -- 6.2.4 Computing -- 6.3 Interpolation Convergence Rate -- 6.4 Quadrature Convergence Rate -- 7 Multilevel Smolyak Sparse-Grid Interpolation and Quadrature -- 7.1 Setting and Notation -- 7.2 Multilevel Smolyak Sparse-Grid Algorithms -- 7.3 Construction of an Allocation of Discretization Levels -- 7.4 Multilevel Smolyak Sparse-Grid Interpolation Algorithm -- 7.5 Multilevel Smolyak Sparse-Grid Quadrature Algorithm -- 7.6 Examples for Multilevel Interpolation and Quadrature -- 7.6.1 Parametric Diffusion Coefficient in Polygonal Domain -- 7.6.2 Parametric Holomorphy of the Posterior Density in Bayesian PDE Inversion -- 7.7 Linear Multilevel Interpolation and Quadrature Approximation -- 7.7.1 Multilevel Smolyak Sparse-Grid Interpolation -- 7.7.2 Multilevel Smolyak Sparse-Grid Quadrature -- 7.7.3 Applications to Parametric Divergence-Form EllipticPDEs. 7.7.4 Applications to Holomorphic Functions -- 8 Conclusions -- References -- Index. |
| Record Nr. | UNINA-9910751387703321 |
Dũng Dinh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland / Jane Cronin, Robert E. O'Malley, Jr., editors
| Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland / Jane Cronin, Robert E. O'Malley, Jr., editors |
| Pubbl/distr/stampa | Providence, RI : American Mathematical Society, 1999 |
| Descrizione fisica | x, 187 p. : ill. ; 26 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) |
Cronin, Janeauthor
O'Malley, Robert E. |
| Altri autori (Enti) | American Mathematical Society : Short course <1998 : Baltimore, Maryland> |
| Collana | Proceedings of symposia in applied mathematics, 0160-7634 ; 56. AMS short course lecture notes |
| Soggetto topico |
Singular perturbations (Mathematics) - Congresses
Differentiable dynamical systems - Congresses |
| ISBN | 0821809296 |
| Classificazione |
AMS 34D15
AMS 34E15 LC QA372.A54 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001264899707536 |
| Providence, RI : American Mathematical Society, 1999 | ||
| Lo trovi qui: Univ. del Salento | ||
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ANSI/IEEE Std 206-1960 / / Institute of Electrical and Electronics Engineers
| ANSI/IEEE Std 206-1960 / / Institute of Electrical and Electronics Engineers |
| Pubbl/distr/stampa | [Place of publication not identified] : , : IEEE, , 1959 |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 515.35 |
| Soggetto topico | Differential inclusions |
| ISBN | 0-7381-4182-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
206-1960 - IEEE Standard on Television
ANSI/IEEE Std 206-1960: IEEE Standard on Television: Measurement of Differential Gain and Differential Phase |
| Record Nr. | UNINA-9910135275203321 |
| [Place of publication not identified] : , : IEEE, , 1959 | ||
| Lo trovi qui: Univ. Federico II | ||
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ANSI/IEEE Std 206-1960 / / Institute of Electrical and Electronics Engineers
| ANSI/IEEE Std 206-1960 / / Institute of Electrical and Electronics Engineers |
| Pubbl/distr/stampa | [Place of publication not identified] : , : IEEE, , 1959 |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 515.35 |
| Soggetto topico | Differential inclusions |
| ISBN | 0-7381-4182-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
206-1960 - IEEE Standard on Television
ANSI/IEEE Std 206-1960: IEEE Standard on Television: Measurement of Differential Gain and Differential Phase |
| Record Nr. | UNISA-996279859703316 |
| [Place of publication not identified] : , : IEEE, , 1959 | ||
| Lo trovi qui: Univ. di Salerno | ||
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Applications of bifurcation theory : proceedings of an advanced seminar conducted by the Mathematics Research Center the University of Wisconsin at Madison, October 27-29, 1976 / edited by P.H. Rabinowitz
| Applications of bifurcation theory : proceedings of an advanced seminar conducted by the Mathematics Research Center the University of Wisconsin at Madison, October 27-29, 1976 / edited by P.H. Rabinowitz |
| Autore | Advanced seminar on applications of bifurcation theory : 1976 |
| Pubbl/distr/stampa | New York [etc.], : Academic Press, 1977 |
| Descrizione fisica | IX, 389 p. ; 23 cm |
| Disciplina | 515.35 |
| Collana | Mathematics research center, the university of Wisconsin-Madison |
| Soggetto non controllato |
Biforcazione - Congressi
Equazioni differenziali |
| ISBN | 0-12-574250-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000845000403321 |
Advanced seminar on applications of bifurcation theory : 1976
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| New York [etc.], : Academic Press, 1977 | ||
| Lo trovi qui: Univ. Federico II | ||
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Applications of bifurcation theory : proceedings of an advanced seminar / edited by Paul H. Rabinowitz ; conducted by the Mathematics Research Center, the University of Wisconsin at Madison, October 27-29, 1976
| Applications of bifurcation theory : proceedings of an advanced seminar / edited by Paul H. Rabinowitz ; conducted by the Mathematics Research Center, the University of Wisconsin at Madison, October 27-29, 1976 |
| Autore | Rabinowitz, Paul H. |
| Pubbl/distr/stampa | New York : Academic Press, 1977 |
| Descrizione fisica | ix, 389 p. : ill. ; 24 cm. |
| Disciplina | 515.35 |
| Collana | Publication of the Mathematics research center ; 38 |
| Soggetto topico |
Bifurcation theory - Congresses
Equations involving nonlinear operators |
| ISBN | 0125742509 |
| Classificazione | AMS 47H15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000688069707536 |
Rabinowitz, Paul H.
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| New York : Academic Press, 1977 | ||
| Lo trovi qui: Univ. del Salento | ||
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