LEADER 00895nam0 22002531i 450 001 UON00407867 005 20231205104727.160 100 $a20120403d1953 |0itac50 ba 101 $afre 102 $aFR 105 $a|||| ||||| 200 1 $aEnquetes de sociologie paroissiale$fP. Virton 210 $aParis$cEditions Spes$d1953 215 $a158 p.$d20 cm. 606 $aSociologia$3UONC066918$2FI 620 $aFR$dParis$3UONL002984 700 1$aVirton$bP.$3UONV208863$0708346 712 $aEditions Spes$3UONV279400$4650 801 $aIT$bSOL$c20250314$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00407867 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI A D 0589 $eSI MR 39109 5 0589 $sBuono 996 $aEnquetes de sociologie paroissiale$91345230 997 $aUNIOR LEADER 04780nam 22007455 450 001 9910254078703321 005 20200630012620.0 010 $a3-319-15431-1 024 7 $a10.1007/978-3-319-15431-2 035 $a(CKB)3710000000467521 035 $a(SSID)ssj0001558625 035 $a(PQKBManifestationID)16183750 035 $a(PQKBTitleCode)TC0001558625 035 $a(PQKBWorkID)14819375 035 $a(PQKB)10842923 035 $a(DE-He213)978-3-319-15431-2 035 $a(MiAaPQ)EBC5595917 035 $a(PPN)188461493 035 $a(EXLCZ)993710000000467521 100 $a20150819d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aReduced Basis Methods for Partial Differential Equations $eAn Introduction /$fby Alfio Quarteroni, Andrea Manzoni, Federico Negri 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XI, 296 p.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v92 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-15430-3 320 $aIncludes bibliographical references (pages 281-292) and index. 327 $a1 Introduction -- 2 Representative problems: analysis and (high-fidelity) approximation -- 3 Getting parameters into play -- 4 RB method: basic principle, basic properties -- 5 Construction of reduced basis spaces -- 6 Algebraic and geometrical structure -- 7 RB method in actions -- 8 Extension to nonaffine problems -- 9 Extension to nonlinear problems -- 10 Reduction and control: a natural interplay -- 11 Further extensions -- 12 Appendix A Elements of functional analysis. 330 $aThis book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v92 606 $aDifferential equations, Partial 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aFluid mechanics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 615 0$aDifferential equations, Partial. 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aFluid mechanics. 615 14$aPartial Differential Equations. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical and Computational Engineering. 615 24$aEngineering Fluid Dynamics. 676 $a515.353 700 $aQuarteroni$b Alfio$4aut$4http://id.loc.gov/vocabulary/relators/aut$08375 702 $aManzoni$b Andrea$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aNegri$b Federico$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254078703321 996 $aReduced Basis Methods for Partial Differential Equations$92222464 997 $aUNINA