Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017 (C.I.M.E. Foundation Subseries) - Softcover

Kunoth, Angela; Lyche, Tom; Sangalli, Giancarlo; Serra-Capizzano, Stefano

 
9783319949109: Splines and PDEs: From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017 (C.I.M.E. Foundation Subseries)
Softcover
ISBN 10: 3319949101 ISBN 13: 9783319949109
Publisher: Springer, 2018

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319949101
ISBN 13 
9783319949109
Binding
Paperback
Edition number
1
Number of pages
327
Editor
Lyche Tom, Manni Carla, Speleers Hendrik