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Journal of Scientific Computing

, Volume 53, Issue 2, pp 342–376 | Cite as

Adaptive Wavelet Methods on Unbounded Domains

  • Sebastian Kestler
  • Karsten UrbanEmail author
Article

Abstract

In this paper, we introduce an adaptive wavelet method for operator equations on unbounded domains. We use wavelet bases on ℝ n to equivalently express the operator equation in terms of a well-conditioned discrete problem on sequence spaces. By realizing an approximate adaptive operator application also for unbounded domains, we obtain a scheme that is convergent at an asymptotically optimal rate. We show the quantitative performance of the scheme by various numerical experiments.

Keywords

Wavelets Adaptive numerical methods Unbounded domains 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Institute for Numerical MathematicsUniversity of UlmUlmGermany

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