Splines and PDEs: From Approximation Theory to Numerical Linear Algebra : Cetraro, Italy 2017 / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano; edited by Tom Lyche, Carla Manni, Hendrik Speleers

Von:

Kunoth, Angela, 1963- [VerfasserIn]

Mitwirkende(r):

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Springer eBook Collection | SpringerLink Bücher | Lecture notes in mathematics ; 2219Verlag: Cham : Springer International Publishing, 2018Beschreibung: Online-Ressource (IX, 318 p. 62 illus., 51 illus. in color, online resource)ISBN:

9783319949116

Schlagwörter:

Genre/Form:

Konferenzschrift -- 2014 -- Cetraro

Andere physische Formen: 9783319949109 | 9783319949123 | Printed edition: 9783319949109 | Printed edition: 9783319949123 | Erscheint auch als: Splines and PDEs: from approximation theory to numerical linear algebra. Druck-Ausgabe Cham, Switzerland : Springer Nature, 2018. ix, 315 SeitenDDC-Klassifikation:

MSC: MSC: *65-06 | 65Mxx | 65Nxx | 65D07 | 65Fxx | 00B25RVK: RVK: SI 850LOC-Klassifikation:

QA297-299.4

DOI: DOI: 10.1007/978-3-319-94911-6Online-Ressourcen:

Zusammenfassung: 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.Zusammenfassung: Inhaltsverzeichnis: 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.PPN: PPN: 1031839100Package identifier: Produktsigel: ZDB-2-LNM | ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

Exemplare ( 0 )
Titelinformationen ( 1 )

Dieser Titel hat keine Exemplare

Reproduktion. (Springer eBook Collection. Mathematics and Statistics)