Interpolatory Hermite splines on rectangular domains

Based on Bittner and Urban’s construction of interpolatory multiwavelets [Kai Bittner, Karsten Urban, On interpolatory divergence-free wavelets, Math. Comput. 76 (258) (2007) 903–929], we use the truncation method to obtain interpolatory multiwavelets on rectangular domains in this paper. In additio...

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Veröffentlicht in:	Applied mathematics and computation 2010-07, Vol.216 (10), p.2799-2813
1. Verfasser:	Zhao, Junjian
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximations and expansions Besov spaces Characterization Computation Construction Divergence-free wavelets Exact sciences and technology Fourier analysis Hermite splines Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Rectangular domains Sciences and techniques of general use Splines Wavelet
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Zusammenfassung:	Based on Bittner and Urban’s construction of interpolatory multiwavelets [Kai Bittner, Karsten Urban, On interpolatory divergence-free wavelets, Math. Comput. 76 (258) (2007) 903–929], we use the truncation method to obtain interpolatory multiwavelets on rectangular domains in this paper. In addition, the characterization for the corresponding functional spaces is given.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.03.130