Angela Kunoth; Tom Lyche; Giancarlo Sangalli; Stefano Serra-Capizzano; Carla Manni; Hendrik Speleers Springer International Publishing AG (2018) Pehmeäkantinen kirja
Morten Dæhlen; Michael S. Floater; Tom Lyche; Jean-Louis Merrien; Knut Morken; Larry L. Schumaker Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2010) Pehmeäkantinen kirja
Jean-Daniel Boissonnat; Patrick Chenin; Albert Cohen; Christian Gout; Tom Lyche; Marie-Laurence Mazure; Larry Schumaker Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2011) Pehmeäkantinen kirja
Michael Floater; Tom Lyche; Marie-Laurence Mazure; Knut Morken; Larry L. Schumaker Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2014) Pehmeäkantinen kirja
Jean-Daniel Boissonnat; Albert Cohen; Olivier Gibaru; Christian Gout; Tom Lyche; Marie-Laurence Mazure; Larry L Schumaker Springer International Publishing AG (2015) Pehmeäkantinen kirja
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.
