A Special Multiwavelet Basis for Unbounded Product Domains

S. Kestler ()
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S. Kestler: Ulm University, Institute for Numerical Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 183-190 from Springer

Abstract: 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.

Keywords: Unbounded Domain; Wavelet Base; Mother Wavelet; Solve Operator Problem; Tensor Basis (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_20

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DOI: 10.1007/978-3-642-33134-3_20

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