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

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017: Lecture Notes in Mathematics, cartea 2219

Autor Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano Editat de Carla Manni, Hendrik Speleers

en Limba Engleză Paperback – 21 sep 2018

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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Specificații

ISBN-13: 9783319949109
ISBN-10: 3319949101
Pagini: 294
Ilustrații: IX, 318 p. 62 illus., 51 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.46 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

To be Provided.

Textul de pe ultima copertă

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.

Caracteristici

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