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Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations
Author(s) -
Dahmen Wolfgang,
Micchelli Charles A.
Publication year - 1990
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211480107
Subject(s) - mathematics , dimension (graph theory) , piecewise , spline (mechanical) , polynomial , mathematical analysis , pure mathematics , algebra over a field , engineering , structural engineering
In this paper we discuss the relationship between syzygies , the dimension of spline spaces and the solutions of systems of differential equations. Several applications of our results are given.