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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 Visualizza persona
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 Visualizza cluster
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  Visualizza cluster
ISBN: 3-319-94911-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466629803316
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Serie: C.I.M.E. Foundation Subseries ; ; 2219