Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

Angela Kunoth

ISBN 10: 3319949101 / ISBN 13: 9783319949109

Published by Springer International Publishing, Springer Nature Switzerland Sep 2018, 2018

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 328 pp. Englisch.

Seller Inventory # 9783319949109

Bibliographic Details

• Title: Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
• Publisher: Springer International Publishing, Springer Nature Switzerland Sep 2018
• Publication Date: 2018
• Language: English
• ISBN 10: 3319949101
• ISBN 13: 9783319949109
• Binding: Taschenbuch
• Condition: Neu

About this title

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.

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