On the minimal derivative oscillation for deficient quartic splines of Marsden’s type

In this note we investigate the possibility to minimize the derivative oscillation for deficient quartic splines of Marsden’s type, motivated by the purpose to reduce the excessive oscillations near midpoints. The error estimate of the obtained quartic spline interpolant is derived considering a com...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 388; p. 113276
Main Author Bica, Alexandru Mihai
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2021
Subjects
Deficient quartic spline
Error estimate
Minimal derivative oscillation
Deficient quartic spline
65D07
Minimal derivative oscillation
Error estimate
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Summary:In this note we investigate the possibility to minimize the derivative oscillation for deficient quartic splines of Marsden’s type, motivated by the purpose to reduce the excessive oscillations near midpoints. The error estimate of the obtained quartic spline interpolant is derived considering a comparison with the cases of the smooth quartic spline having continuous second derivative and the quartic spline that has minimal Euclidean norm of the second derivative.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2020.113276