Splines and PDEs: From Approximation Theory to Numerical Linear Algebra [[electronic resource] ] : Cetraro, Italy 2017 / / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers
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| Autore: |
Kunoth Angela
|
| Titolo: |
Splines and PDEs: From Approximation Theory to Numerical Linear Algebra [[electronic resource] ] : Cetraro, Italy 2017 / / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers
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| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Edizione: | 1st ed. 2018. |
| Descrizione fisica: | 1 online resource (IX, 318 p. 62 illus., 51 illus. in color.) |
| Disciplina: | 511.42 |
| Soggetto topico: | Numerical analysis |
| Approximation theory | |
| Partial differential equations | |
| Numerical Analysis | |
| Approximations and Expansions | |
| Partial Differential Equations | |
| Persona (resp. second.): | LycheTom |
| SangalliGiancarlo | |
| Serra-CapizzanoStefano | |
| ManniCarla | |
| SpeleersHendrik | |
| Nota di bibliografia: | Includes bibliographical references. |
| 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. |
| Titolo autorizzato: | Splines and PDEs: From Approximation Theory to Numerical Linear Algebra |
| ISBN: | 3-319-94911-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466629803316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
C.I.M.E. Foundation Subseries ; ; 2219