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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / Dinh Dũng, ... [et al.]
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / Dinh Dũng, ... [et al.] |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | xv, 207 p. ; 24 cm |
| Soggetto topico |
33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020]
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] 41A25 - Rate of convergence, degree of approximation [MSC 2020] 41A46 - Approximation by arbitrary nonlinear expressions; widths and entropy [MSC 2020] 35J15 - Second order elliptic equations [MSC 2020] 28C20 - Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [MSC 2020] 65N15 - Error bounds for boundary value problems involving PDEs [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 65N21 - Numerical methods for inverse problems for boundary value problems involving PDEs [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 65D40 - Numerical approximation of high-dimensional functions; sparse grids [MSC 2020] |
| Soggetto non controllato |
Finite element methods
Gaussian measures High-dimensional approximation Parametric and Stochastic PDE Partial differential equations Polynomial chaos Smolyak Quadrature Sparse-Grid Interpolation Uncertainty Quantification |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0269844 |
| Cham, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / Dinh Dũng ... [et al.]
| Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / Dinh Dũng ... [et al.] |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | xv, 207 p. ; 24 cm |
| Soggetto topico |
28C20 - Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [MSC 2020]
33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020] 35B30 - Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020] 35J15 - Second order elliptic equations [MSC 2020] 35J57 - Boundary value problems for second-order elliptic systems [MSC 2020] 41A25 - Rate of convergence, degree of approximation [MSC 2020] 41A46 - Approximation by arbitrary nonlinear expressions; widths and entropy [MSC 2020] 65D40 - Numerical approximation of high-dimensional functions; sparse grids [MSC 2020] 65N15 - Error bounds for boundary value problems involving PDEs [MSC 2020] 65N21 - Numerical methods for inverse problems for boundary value problems involving PDEs [MSC 2020] 65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020] |
| Soggetto non controllato |
Finite element methods
Gaussian measures High-dimensional approximation Parametric and Stochastic PDE Partial Differential Equations Polynomial chaos Smolyak Quadrature Sparse-Grid Interpolation Uncertainty Quantification |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00269844 |
| Cham, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||