Splines And Pdes: From Approximation Theory To Numerical Linear Algebra - Kunoth Angela; Lyche Tom; Sangalli Giancarlo; Serra-Capizzano Stefano; Lyche Tom (Curatore); Manni Carla (Curatore); Speleers Hendrik (Curatore) | Libro Springer 09/2018 - HOEPLI.it


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kunoth angela; lyche tom; sangalli giancarlo; serra-capizzano stefano; lyche tom (curatore); manni carla (curatore); speleers hendrik (curatore) - splines and pdes: from approximation theory to numerical linear algebra

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

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/2018
Edizione: 1st ed. 2018





Trama

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.




Sommario

Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement.- Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs.- Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations.- Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications.





Autore

To be Provided.







Altre Informazioni

ISBN:

9783319949109

Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 235 x 155 mm Ø 504 gr
Formato: Brossura
Illustration Notes:11 Illustrations, black and white
Pagine Arabe: 318
Pagine Romane: ix






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