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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Splines and PDEs: From Approximation Theory to Numerical Linear Algebra/ by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers.
其他題名:	Cetraro, Italy 2017 /
作者:	Kunoth, Angela.
其他作者:	Lyche, Tom.
面頁冊數:	IX, 318 p. 62 illus., 51 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Numerical analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-94911-6
ISBN:	9783319949116

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra = Cetraro, Italy 2017 /
Kunoth, Angela.

Splines and PDEs: From Approximation Theory to Numerical Linear AlgebraCetraro, Italy 2017 /[electronic resource] :by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers. - 1st ed. 2018. - IX, 318 p. 62 illus., 51 illus. in color.online resource. - C.I.M.E. Foundation Subseries ;2219. - C.I.M.E. Foundation Subseries ;2141.

Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement -- Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs -- Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations -- Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications.

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.

ISBN: 9783319949116

Standard No.: 10.1007/978-3-319-94911-6doiSubjects--Topical Terms:

527939
Numerical analysis.

LC Class. No.: QA297-299.4

Dewey Class. No.: 518

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