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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.  
Amsterdam ; New York : North-Holland, c1981
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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  
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
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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.  
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1972]
Materiale a stampa
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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  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
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 / / 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  
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
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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
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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  
New York [etc.], : Academic Press, 1977
Materiale a stampa
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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.  
New York : Academic Press, 1977
Materiale a stampa
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