Splines and PDEs: From Approximation Theory to Numerical Linear Algebra / Lecture Notes in Mathematics Bd.2219 (PDF)
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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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.
Autoren-Porträt von Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano
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Bibliographische Angaben
- Autoren: Angela Kunoth , Tom Lyche , Giancarlo Sangalli , Stefano Serra-Capizzano
- 2018, 1st ed. 2018, 318 Seiten, Englisch
- Herausgegeben: Tom Lyche, Carla Manni, Hendrik Speleers
- Verlag: Springer-Verlag GmbH
- ISBN-10: 331994911X
- ISBN-13: 9783319949116
- Erscheinungsdatum: 20.09.2018
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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