From Approximation Theory to Numerical Linear Algebra Cetraro, Italy 2017

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Kunoth, A., Lyche, T., Sangalli, G., Serra-Capizzano, S., Lyche, T., Manni, C., Speleers, H. (Eds.) Splines and PDEs: From Approximation Theory to Numerical Linear Algebra Cetraro, Italy 2017

Contains a multi-perspective exposition of the use of splines in the numerical treatment of PDEs Covers mathematical foundations, numerical paradigms, and implementational issues Collects contributions from internationally renowned experts in the field This book takes readers on a multi-perspective tour through state-of-the-art mathematical Springer developments related to the numerical treatment of PDEs based on splines, and in particular 1st ed. 2018, IX, 318 p. 62 1st isogeometric methods. A wide variety of research topics are covered, ranging from illus., 51 illus. in color. edition 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 Printed book computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed Softcover overview of the mathematical and implementational aspects of isogeometric analysis. The text Printed book is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four Softcover prominent lecturers with different theoretical and application perspectives. The book may serve ISBN 978-3-319-94910-9 both as a reference and an entry point into further research. £ 54,99 | CHF 77,00 | 64,99 € | 71,49 € (A) | 69,54 € (D) Order online at springer.com/booksellers Available Springer Nature Customer Service Center GmbH Customer Service Discount group Tiergartenstrasse 15-17 Standard (0) 69121 Heidelberg Product category Germany Contributed volume T: +49 (0)6221 345-4301 Series [email protected] C.I.M.E. Foundation Subseries Other renditions Softcover ISBN 978-3-319-94912-3

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ISBN 978-3-319-94910-9 / BIC: PBKS / SPRINGER NATURE: SCM14050 Part of