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Vietnam Journal of Mathematics 34:3(2006)
241-254
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Interpolation Conditions and Polynomial
Projectors Preserving Homogeneous Partial Differential Equations
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Dinh Dung
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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.
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2000 Mathematics Subject Classification: 41A05, 41A63,
46A32.
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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.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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