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Vector cell-average multiresolution based on Hermite interpolation

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Harten’s interpolatory multiresolution representation of data has been extended in the case of point-value discretization to include Hermite interpolation by Warming and Beam in [17]. In this work we extend Harten’s framework for multiresolution analysis to the vector case for cell-averaged data, focusing on Hermite interpolatory techniques.

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Correspondence to Francesc Aràndiga.

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Communicated by Tomas Sauer

*Supported by European Community IHP projects HPRN-CT-2002-00282 and HPRN-CT-2005-00286.

**Supported by European Community IHP projects HPRN-CT-2002-00282 and HPRN-CT-2005-00286, and by FPU grant from M.E.C.D. AP2000-1386.

Supported by European Community IHP projects HPRN-CT-2002-00282 and HPRN-CT-2005-00286.

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Aràndiga, F., Baeza, A. & Donat, R. Vector cell-average multiresolution based on Hermite interpolation. Adv Comput Math 28, 1–22 (2008). https://doi.org/10.1007/s10444-005-9007-7

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