Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

Cetraro, Italy 2017

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

318 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Numerische Mathematik
• ISBN: 9783319949109
• Sprache: Englisch
• Erscheinungsdatum: 21.09.2018
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing
• Herausgegeben von: Tom Lyche, Carla Manni, Hendrik Speleers