Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017

di Angela Kunoth (Autore)

Tom Lyche (Autore)

Giancarlo Sangalli (Autore)

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Springer International Publishing AG, 2018

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.

• Autore: Angela Kunoth, Tom Lyche, Giancarlo Sangalli
• Curatore: Tom Lyche, Carla Manni
• Editore: Springer International Publishing AG
• Collana: C.I.M.E. Foundation Subseries
• Anno: 2018
• Rilegatura: Paperback / softback
• Pagine: 318 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319949109

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