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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] | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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. | UNINA-9910751387703321 |
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Dũng Dinh
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| 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 |
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Rabinowitz, Paul H.
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| New York : Academic Press, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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 Paul 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 Paul H. Rabinowitz |
| Pubbl/distr/stampa | New York : Academic Press, 1977 |
| Descrizione fisica | IX, 389 p. ; 23 cm |
| Disciplina | 515.35 |
| Collana | Publication of the Mathematics Research Center, University of Wisconsin-Madison |
| Soggetto topico |
Equazioni differenziali non lineari - Risoluzione - Congressi - 1976
Biforcazione - Teorie - Congressi - 1976 Congressi - Madison - 1976 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990002044590203316 |
| New York : Academic Press, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Applications of Differential-Algebraic Equations: Examples and Benchmarks / / edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis
| Applications of Differential-Algebraic Equations: Examples and Benchmarks / / edited by Stephen Campbell, Achim Ilchmann, Volker Mehrmann, Timo Reis |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (324 pages) |
| Disciplina |
515.35
515.352 |
| Collana | Differential-Algebraic Equations Forum |
| Soggetto topico |
Differential equations
Numerical analysis Mathematical models Ordinary Differential Equations Numerical Analysis Mathematical Modeling and Industrial Mathematics |
| ISBN | 3-030-03718-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example -- DAE Aspects in Vehicle Dynamics and Mobile Robotics -- Open-loop Control of Underactuated Mechanical Systems Using Servo-constraints: Analysis and Some Examples -- Systems of Differential Algebraic Equations in Computational Electromagnetics -- Gas Network Benchmark Models -- Topological Index Analysis Applied to Coupled Flow Networks -- Nonsmooth DAEs with Applications in Modeling Phase Changes -- Continuous, Semi-Discrete, and Fully Discretized Navier-Stokes Equations. |
| Record Nr. | UNINA-9910338255303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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