Splines and PDEs: From Approximation Theory to Numerical Linear Algebra

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Author :
Publisher : Springer
Total Pages : 325
Release :
ISBN-10 : 9783319949116
ISBN-13 : 331994911X
Rating : 4/5 (16 Downloads)

Book Synopsis Splines and PDEs: From Approximation Theory to Numerical Linear Algebra by : Angela Kunoth

Download or read book Splines and PDEs: From Approximation Theory to Numerical Linear Algebra written by Angela Kunoth and published by Springer. This book was released on 2018-09-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Splines and PDEs: From Approximation Theory to Numerical Linear Algebra Related Books

Splines and PDEs: From Approximation Theory to Numerical Linear Algebra
Language: en
Pages: 325
Authors: Angela Kunoth
Categories: Mathematics
Type: BOOK - Published: 2018-09-20 - Publisher: Springer

DOWNLOAD EBOOK

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 splin
Approximation by Spline Functions
Language: en
Pages: 264
Authors: Günther Nürnberger
Categories: Mathematics
Type: BOOK - Published: 1989-11-16 - Publisher: Springer

DOWNLOAD EBOOK

Splines play an important role in applied mathematics since they possess high flexibility to approximate efficiently, even nonsmooth functions which are given e
Approximation and Modeling with B-Splines
Language: en
Pages: 228
Authors: Klaus Hollig
Categories: Mathematics
Type: BOOK - Published: 2015-07-01 - Publisher: SIAM

DOWNLOAD EBOOK

B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an e
Splines and Variational Methods
Language: en
Pages: 338
Authors: P. M. Prenter
Categories: Mathematics
Type: BOOK - Published: 2013-11-26 - Publisher: Courier Corporation

DOWNLOAD EBOOK

One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contai
Mathematical and Computational Methods for Modelling, Approximation and Simulation
Language: en
Pages: 261
Authors: Domingo Barrera
Categories: Mathematics
Type: BOOK - Published: 2022-05-08 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with