Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Produktnummer:
18bc92e1f7bcfc4897b99b36f22cb77c8f
| Autor: | Kunoth, Angela Lyche, Tom Sangalli, Giancarlo Serra-Capizzano, Stefano |
|---|---|
| Themengebiete: | Adaptive Multiscale Methods Isogeometric Analysis Numerical Treatment of PDEs Spectral Analysis Spline Approximation partial differential equations |
| Veröffentlichungsdatum: | 21.09.2018 |
| EAN: | 9783319949109 |
| Sprache: | Englisch |
| Seitenzahl: | 318 |
| Produktart: | Kartoniert / Broschiert |
| Herausgeber: | Lyche, Tom Manni, Carla Speleers, Hendrik |
| Verlag: | Springer International Publishing |
| Untertitel: | Cetraro, Italy 2017 |
Produktinformationen "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.
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