Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Cetraro, Italy 2017
(Sprache: Englisch)
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,...
A wide variety of research topics are covered,...
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Klappentext zu „Splines and PDEs: From Approximation Theory to Numerical Linear Algebra “
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.
Inhaltsverzeichnis zu „Splines and PDEs: From Approximation Theory to Numerical Linear Algebra “
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.
Autoren-Porträt von Angela Kunoth, Giancarlo Sangalli, Stefano Serra-Capizzano, Tom Lyche
To be Provided.
Bibliographische Angaben
- Autoren: Angela Kunoth , Giancarlo Sangalli , Stefano Serra-Capizzano , Tom Lyche
- 2018, 1st ed. 2018, IX, 318 Seiten, 51 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Tom Lyche, Carla Manni, Hendrik Speleers
- Verlag: Springer, Berlin
- ISBN-10: 3319949101
- ISBN-13: 9783319949109
- Erscheinungsdatum: 21.09.2018
Sprache:
Englisch
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