Splines and PDEs: from approximation theory to numerical linear algebra [e-book] : Cetraro, Italy 2017 / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers

• Autore: C.I.M.E. Summer School "Splines and PDEs" <2017 ; Cetraro, Italy>
• Pubblicazione: Cham : Springer, 2018
• Descrizione fisica: 1 online resource (ix, 318 pages) : illustrations (some color)
• Disciplina: 515.353
• Titolo uniforme di collana: Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries
• Soggetto topico: Numerical analysis; Differential equations, partial
• Classificazione: AMS 65-06
• Altri autori: Kunoth, Angelaauthor Lyche, Tomauthor Sangalli, Giancarlo Serra-Capizzano, Stefano Manni, Carla Speleers, Hendrik
• Nota di contenuto: Foundations 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
• Sommario/riassunto: This 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.
• ISBN: 331994911X; 9783319949116; 9783319949109
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003636149707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/10.1007/978-3-319-94911-6
• Serie: Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries; Lecture Notes in Mathematics, 0075-8434 ; 2219; C.I.M.E. Foundation Subseries ; 2219