Splines and PDEs: From Approximation Theory to Numerical Linear Algebra : Cetraro, Italy 2017
2018 ed.
Book Details
Format
Paperback / Softback
Book Series
C.I.M.E. Foundation Subseries
ISBN-10
3319949101
ISBN-13
9783319949109
Edition
2018 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 21st, 2018
Print length
318 Pages
Weight
508 grams
Dimensions
15.80 x 23.30 x 1.80 cms
Product Classification:
Differential calculus & equationsNumerical analysis
AI Summary
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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.
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