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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the condition number of local bases for piecewise cubic polynomials


Author: J. M. Varah
Journal: Math. Comp. 31 (1977), 37-44
MSC: Primary 65F35
MathSciNet review: 0428699
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Abstract: The condition number of the Gram matrix associated with piecewise polynomial finite element bases is discussed in general, and computed explicitly for cubic splines and cubic Hermite polynomials. In the latter case, we discuss the inherent ambiguity in the basis, and find the minimum condition number.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0428699-X
PII: S 0025-5718(1977)0428699-X
Article copyright: © Copyright 1977 American Mathematical Society