Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra (eBook, PDF)

Cetraro, Italy 2017
Redaktion: Lyche, Tom; Speleers, Hendrik; Manni, Carla

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 318
• Erscheinungstermin: 20. September 2018
• Englisch
• ISBN-13: 9783319949116
• Artikelnr.: 54785172

Autorenporträt

To be Provided.

Inhaltsangabe

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.