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A Special Multiwavelet Basis for Unbounded Product Domains

In: Numerical Mathematics and Advanced Applications 2011

Author

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  • S. Kestler

    (Ulm University, Institute for Numerical Mathematics)

Abstract

A multiwavelet basis construction for the interval (0, 1) with the special property that the corresponding wavelet discretization of second order constant coefficient differential operators is sparse, is extended to the realline $$\mathbb{R}$$ and the half-space $$\mathbb{R}_{+}$$ . The advantage of these new bases is their very convenient usage within adaptive wavelet schemes applied to operator problems on unbounded domains as performance of these schemes is increased while their implementation is facilitated. The construction is explained and underlined by selected numerical experiments.

Suggested Citation

  • S. Kestler, 2013. "A Special Multiwavelet Basis for Unbounded Product Domains," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 183-190, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_20
    DOI: 10.1007/978-3-642-33134-3_20
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