Splines and Pdes: Recent Advances from Approximation Theory to Structured Numerical Linear Algebra ― Cetraro, Italy 2017
商品資訊
系列名:C.i.m.e. Foundation
ISBN13:9783319949109
出版社:Springer Nature
作者:Angela Kunoth; Tom Lyche; Giancarlo Sangalli; Stefano Serra-capizzano; Tom Lyche (EDT)
出版日:2018/09/21
裝訂:平裝
規格:23.5cm*15.5cm (高/寬)
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商品簡介
商品簡介
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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