Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs / Dinh Dũng, ... [et al.]

• Pubblicazione: 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
• Persona (resp. second.): Dũng, Dinh
• Titolo autorizzato: Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN0269844
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-3-031-38384-7