Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

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Cetraro, Italy 2017, Lecture Notes in Mathematics 2219 – C.I.M.E. Foundation Subseries

ISBN: 3319949101
ISBN 13: 9783319949109
Herausgeber: Tom Lyche/Carla Manni/Hendrik Speleers
Verlag: Springer Verlag GmbH
Umfang: ix, 318 S., 11 s/w Illustr., 51 farbige Illustr., 318 p. 62 illus., 51 illus. in color.
Erscheinungsdatum: 21.09.2018
Weitere Autoren: Kunoth, Angela/Lyche, Tom/Sangalli, Giancarlo et al
Auflage: 1/2019
Produktform: Kartoniert
Einband: Kartoniert

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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