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

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

Angela / Lyche Kunoth

286 pages, parution le 01/12/2018

Résumé

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.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.

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.

To be Provided.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Angela / Lyche Kunoth
Parution 01/12/2018
Nb. de pages 286
EAN13 9783319949109

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