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Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Cetraro, Italy 2017
Taschenbuch von Angela Kunoth (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
To be Provided.
Zusammenfassung

Contains a multi-perspective exposition of the use of splines in the numerical treatment of PDEs

Covers mathematical foundations, numerical paradigms, and implementational issues

Collects contributions from internationally renowned experts in the field

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.

Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
318 S.
11 s/w Illustr.
51 farbige Illustr.
318 p. 62 illus.
51 illus. in color.
ISBN-13: 9783319949109
ISBN-10: 3319949101
Sprache: Englisch
Herstellernummer: 978-3-319-94910-9
Einband: Kartoniert / Broschiert
Autor: Kunoth, Angela
Lyche, Tom
Sangalli, Giancarlo
Serra-Capizzano, Stefano
Redaktion: Lyche, Tom
Manni, Carla
Speleers, Hendrik
Herausgeber: Tom Lyche/Carla Manni/Hendrik Speleers
Auflage: 1st edition 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Angela Kunoth (u. a.)
Erscheinungsdatum: 21.09.2018
Gewicht: 0,499 kg
Artikel-ID: 113789086
Über den Autor
To be Provided.
Zusammenfassung

Contains a multi-perspective exposition of the use of splines in the numerical treatment of PDEs

Covers mathematical foundations, numerical paradigms, and implementational issues

Collects contributions from internationally renowned experts in the field

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.

Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: ix
318 S.
11 s/w Illustr.
51 farbige Illustr.
318 p. 62 illus.
51 illus. in color.
ISBN-13: 9783319949109
ISBN-10: 3319949101
Sprache: Englisch
Herstellernummer: 978-3-319-94910-9
Einband: Kartoniert / Broschiert
Autor: Kunoth, Angela
Lyche, Tom
Sangalli, Giancarlo
Serra-Capizzano, Stefano
Redaktion: Lyche, Tom
Manni, Carla
Speleers, Hendrik
Herausgeber: Tom Lyche/Carla Manni/Hendrik Speleers
Auflage: 1st edition 2018
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Angela Kunoth (u. a.)
Erscheinungsdatum: 21.09.2018
Gewicht: 0,499 kg
Artikel-ID: 113789086
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