Splines and PDEs: From Approximation Theory to Numerical Linear Algebra - Cetraro, Italy 2017 (Paperback, 1st ed. 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2219
Release date:	September 2018
First published:	2018
Authors:	Angela Kunoth • Tom Lyche • Giancarlo Sangalli • Stefano Serra Capizzano
Editors:	Tom Lyche • Carla Manni • Hendrik Speleers
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	318
Edition:	1st ed. 2018
ISBN-13:	978-3-319-94910-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-319-94910-1
Barcode:	9783319949109

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