LEADER 03123nam0 22005293i 450 001 VAN00269844 005 20240806101528.511 017 70$2N$a9783031383847 100 $a20240119d2023 |0itac50 ba 101 $aeng 102 $aCH 105 $a|||| ||||| 200 1 $aAnalyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs$fDinh D?ng, ... [et al.] 210 $aCham$cSpringer$d2023 215 $axv, 207 p.$d24 cm 461 1$1001VAN00102250$12001 $aLecture notes in mathematics$1210 $aBerlin [etc.]$cSpringer$v2334 606 $a28C20$xSet functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [MSC 2020]$3VANC022389$2MF 606 $a33C45$xOrthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020]$3VANC020291$2MF 606 $a35B30$xDependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs [MSC 2020]$3VANC028997$2MF 606 $a35J15$xSecond order elliptic equations [MSC 2020]$3VANC022252$2MF 606 $a35J57$xBoundary value problems for second-order elliptic systems [MSC 2020]$3VANC030892$2MF 606 $a41A25$xRate of convergence, degree of approximation [MSC 2020]$3VANC022007$2MF 606 $a41A46$xApproximation by arbitrary nonlinear expressions; widths and entropy [MSC 2020]$3VANC022009$2MF 606 $a65D40$xNumerical approximation of high-dimensional functions; sparse grids [MSC 2020]$3VANC037713$2MF 606 $a65N15$xError bounds for boundary value problems involving PDEs [MSC 2020]$3VANC023067$2MF 606 $a65N21$xNumerical methods for inverse problems for boundary value problems involving PDEs [MSC 2020]$3VANC029363$2MF 606 $a65N30$xFinite elements, Rayleigh-Ritz and Galerkin methods, finite methods for boundary value problems involving PDEs [MSC 2020]$3VANC021532$2MF 610 $aFinite element methods$9KW:K 610 $aGaussian measures$9KW:K 610 $aHigh-dimensional approximation$9KW:K 610 $aParametric and Stochastic PDE$9KW:K 610 $aPartial differential equations$9KW:K 610 $aPolynomial chaos$9KW:K 610 $aSmolyak Quadrature$9KW:K 610 $aSparse-Grid Interpolation$9KW:K 610 $aUncertainty Quantification$9KW:K 620 $aCH$dCham$3VANL001889 702 1$aD?ng$bDinh$3VANV096203 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20240906$gRICA 856 4 $uhttps://doi.org/10.1007/978-3-031-38384-7$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN00269844 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08CONS e-book $e08LNM2334 20240119 996 $aAnalyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs$93670081 997 $aUNICAMPANIA