03120nam0 22005293i 450 VAN026984420240119112044.421N978303138384720240119d2023 |0itac50 baengCH|||| |||||Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field InputsDinh Dũng, ... [et al.]ChamSpringer2023xv, 207 p.24 cm001VAN01022502001 Lecture notes in mathematics210 Berlin [etc.]Springer233433C45Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020]VANC020291MF65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020]VANC021532MF41A25Rate of convergence, degree of approximation [MSC 2020]VANC022007MF41A46Approximation by arbitrary nonlinear expressions; widths and entropy [MSC 2020]VANC022009MF35J15Second order elliptic equations [MSC 2020]VANC022252MF28C20Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [MSC 2020]VANC022389MF65N15Error bounds for boundary value problems involving PDEs [MSC 2020]VANC023067MF35B30Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020]VANC028997MF65N21Numerical methods for inverse problems for boundary value problems involving PDEs [MSC 2020]VANC029363MF35J57Boundary value problems for second-order elliptic systems [MSC 2020]VANC030892MF65D40Numerical approximation of high-dimensional functions; sparse grids [MSC 2020]VANC037713MFFinite element methodsKW:KGaussian measuresKW:KHigh-dimensional approximationKW:KParametric and Stochastic PDEKW:KPartial differential equationsKW:KPolynomial chaosKW:KSmolyak QuadratureKW:KSparse-Grid InterpolationKW:KUncertainty QuantificationKW:KCHChamVANL001889DũngDinhVANV096203Springer <editore>VANV108073650ITSOL20240614RICAhttps://doi.org/10.1007/978-3-031-38384-7E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN0269844BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 08LNM2334 20240119 Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs3670081UNICAMPANIA