Angela Kunoth & Tom Lyche 
Splines and PDEs: From Approximation Theory to Numerical Linear Algebra [EPUB ebook] 
Cetraro, Italy 2017

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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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语言 英语 ● 格式 EPUB ● ISBN 9783319949116 ● 编辑 Tom Lyche & Carla Manni ● 出版者 Springer International Publishing ● 发布时间 2018 ● 下载 3 时 ● 货币 EUR ● ID 6792040 ● 复制保护 Adobe DRM
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