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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
• Podnázev: Cetraro, Italy 2017
• Autor: Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano, Tom Lyche, Carla Manni, Hendrik Speleers
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 318
• EAN: 9783319949109
• ISBN: 3319949101
• ID: 19612338
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 508 g
• Rozměry: 158 × 233 × 18 mm
• Datum vydání: 21. September 2018

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