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Vietnam Journal of Mathematics 34:3(2006) 241-254

 Interpolation Conditions and Polynomial Projectors Preserving Homogeneous Partial Differential Equations

Dinh Dung

Abstract.  We give a brief survey on a new approach in study of polynomial projectors that preserve homogeneous partial differential equations or homogeneous differential relations, and their interpolation properties in terms of space of interpolation conditions, D-Taylor projector, Birkhoff projector, Abel-Gontcharoff projector, Kergin projector.

2000 Mathematics Subject Classification: 41A05, 41A63, 46A32.

Keywords: Polynomial projector preserving homogeneous partial differential equations, polynomial projector preserving homogeneous differential relations, space of interpolation conditions, $D$-Taylor projector, Birkhoff projector, Abel-Gontcharoff projector, Kergin projector.

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013