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Wavelet Methods for Elliptic Partial Differential Equations
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Wavelet Methods for Elliptic Partial Differential Equations

Karsten Urban

Abstract

Wavelets have become a powerful tool in several applications by now. Their use for the numerical solution of operator equations has been investigated more recently. By now the theoretical understanding of such methods is quite advanced and has brought up deep results and additional understanding. Moreover, the rigorous theoretical foundation of wavelet bases has also lead to new insights in more classical numerical methods for partial differential equations (pde's) such as Finite Elements. However, sometimes it is believed that understanding and applying the full power of wavelets needs a stro ... More

Keywords: wavelets, numerical solution, Galerkin schemes, adaptive methods, elliptic partial differential equations

Bibliographic Information

Print publication date: 2008 Print ISBN-13: 9780198526056
Published to Oxford Scholarship Online: May 2009 DOI:10.1093/acprof:oso/9780198526056.001.0001

Authors

Affiliations are at time of print publication.

Karsten Urban, author
Director of the Institute of Numerical Mathematics, University of Ulm

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