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Splines and Pdes: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017 by Angela Kunoth

Splines and Pdes: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017

by Angela Kunoth
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Book cover type: Paperback
  • ISBN13: 9783319949109
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 318
  • Original Price: EUR 69.99
  • Language: English
  • Edition: 2018
  • Item Weight: 497 grams
  • BISAC Subject(s): Number Systems, Mathematical Analysis, and Differential Equations / General

From the Back Cover
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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