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Splines and PDEsfrom approximation t...

(1998 :)

Splines and PDEsfrom approximation theory to numerical linear algebra : Cetraro, Italy 2017 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Splines and PDEsby Angela Kunoth ... [et al.].
Reminder of title:	from approximation theory to numerical linear algebra : Cetraro, Italy 2017 /
other author:	Kunoth, Angela.
corporate name:
Published:	Cham :Springer International Publishing :2018.
Description:	ix, 318 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Spline theoryCongresses.
Online resource:	https://doi.org/10.1007/978-3-319-94911-6
ISBN:	9783319949116$q(electronic bk.)

Splines and PDEsfrom approximation theory to numerical linear algebra : Cetraro, Italy 2017 /
Splines and PDEsfrom approximation theory to numerical linear algebra : Cetraro, Italy 2017 /[electronic resource] :by Angela Kunoth ... [et al.]. - Cham :Springer International Publishing :2018. - ix, 318 p. :ill. (some col.), digital ;24 cm. - C.I.M.E. foundation subseries ;2219. - C.I.M.E. foundation subseries ;2219..

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$q(electronic bk.)

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

823452
Spline theory
--Congresses.

LC Class. No.: QA224

Dewey Class. No.: 511.4223

Splines and PDEsfrom approximation theory to numerical linear algebra : Cetraro, Italy 2017 /
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505 0 $a 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.
520 $a 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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