LEADER 03655nam a2200505 i 4500 001 991003636149707536 006 m o d 007 cr cnu|||unuuu 008 190408s2018 sz a o 100 0 eng d 020 $a331994911X$q(electronic bk.) 020 $a9783319949116$q(electronic bk.) 020 $z9783319949109$q(print) 024 7 $a10.1007/978-3-319-94911-6$2doi 035 $ab14363884-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.353 084 $aAMS 65-06 111 2 $aC.I.M.E. Summer School "Splines and PDEs"$d<2017 ;$cCetraro, Italy>$0785950 245 10$aSplines and PDEs: from approximation theory to numerical linear algebra$h[e-book] :$bCetraro, Italy 2017 /$cby Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers 260 $aCham :$bSpringer,$c2018 300 $a1 online resource (ix, 318 pages) :$billustrations (some color) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2219 490 1 $aC.I.M.E. Foundation Subseries ;$v2219 505 0 $aFoundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement ; Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs ; Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations ; Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications 520 $aThis book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research. 650 0$aNumerical analysis 650 0$aDifferential equations, partial 700 1 $aKunoth, Angela$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785951 700 1 $aLyche, Tom$eauthor$4http://id.loc.gov/vocabulary/relators/aut$060177 700 1 $aSangalli, Giancarlo 700 1 $aSerra-Capizzano, Stefano 700 1 $aManni, Carla 700 1 $aSpeleers, Hendrik 776 08$iPrinted edition:$z9783319949109 776 08$iPrinted edition:$z9783319949123 830 0$aLecture notes in mathematics (Springer-Verlag).$pCIME Foundation subseries 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-94911-6 907 $a.b14363884$b03-03-22$c08-04-19 912 $a991003636149707536 996 $aSplines and PDEs: from approximation theory to numerical linear algebra$91749889 997 $aUNISALENTO 998 $ale013$b08-04-19$cm$d@ $e-$feng$gsz $h0$i0