Jump to ContentJump to Main Navigation
Wavelet Methods for Elliptic Partial Differential Equations$
Users without a subscription are not able to see the full content.

Karsten Urban

Print publication date: 2008

Print ISBN-13: 9780198526056

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780198526056.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 15 October 2018

Adaptive Wavelet Methods

Adaptive Wavelet Methods

(p.186) 7 Adaptive Wavelet Methods
Wavelet Methods for Elliptic Partial Differential Equations

Karsten Urban

Oxford University Press

This chapter starts by adaptively approximating a given function and introduce the main theoretical concepts. After describing the more classical approach to adaptivity based upon a-posteriori error estimates, it shows the somewhat different perspective of adaptive wavelet methods. Given an operator equation, an equivalent infinite-dimensional problem on sequence spaces is introduced. In order to obtain a computable method, the infinite operator is replaced by an approximate application. The resulting schemes are described, analyzed and compared by numerical experiments. An outlook to nonlinear operators is given.

Keywords:   best N-term approximation, adaptive wavelet methods, compressible matrices, asymptotical optimal, nonlinear functions, Besov spaces

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .