Vector cell-average multiresolution based on Hermite interpolation

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. *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.