Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017 (C.I.M.E. Foundation Subseries)
Language: English
Published by Springer, 2018
- Softcover
- New
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- Title
- Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017 (C.I.M.E. Foundation Subseries)
- Author
- Kunoth, Angela; Lyche, Tom; Sangalli, Giancarlo; Serra-Capizzano, Stefano
- Publisher
- Springer
- Publication year
- 2018
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319949101
- ISBN 13
- 9783319949109
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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