Splines and PDEs : from approximation theory to numerical linear algebra : Cetraro, Italy 2017 / Angela Kunoth [and three others] ; Tom Lyche, Carla Manni, Hendrik Speleers, editors.

Author
C.I.M.E. Summer School "Splines and PDEs" (2017 : Cetraro, Italy) [Browse]
Format
Book
Language
English
Published/​Created
  • Cham, Switzerland : Springer ; [Firenze] : Fondazione CIME Roberto Conti, [2018]
  • ©2018
Description
ix, 315 pages : illustrations (some color) ; 24 cm.

Details

Subject(s)
Contributor
Editor
Library of Congress genre(s)
Series
  • Lecture notes in mathematics (Springer-Verlag) ; 2219. [More in this series]
  • Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries [More in this series]
  • Lecture notes in mathematics, 0075-8434 ; 2219.
  • Lecture notes in mathematics. CIME Foundation subseries
Summary note
"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"--Page 4 of cover.
Bibliographic references
Includes bibliographical references.
Contents
  • Foundations of spline theory : B-splines, spline approximation, and hierarchical refinement / Tom Lyche, Carla Manni, and Hendrik Speleers
  • Adaptive multiscale methods for the numerical treatment of systems of PDEs / Angela Kunoth
  • Generalized locally Toeplitz sequences : a spectral analysis tool for discretized differential equations / Carlo Garoni and Stefano Serra-Capizzano
  • Isogeometric analysis : mathematical and implementational aspects, with applications / Thomas J.R. Hughes, Giancarlo Sangalli, and Mattia Tani.
ISBN
  • 3319949101
  • 9783319949109
LCCN
2018954553
OCLC
1037810046
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...
Other views
Staff view