arXiv Analytics

Sign in

arXiv:1709.02710 [math.NA]AbstractReferencesReviewsResources

Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions

Michael S. Floater, Espen Sande

Published 2017-09-08Version 1

In this paper we show that, with respect to the $L^2$ norm, three classes of functions in $H^r(0,1)$, defined by certain boundary conditions, admit optimal spline spaces of all degrees $\geq r-1$, and all these spline spaces have uniform knots.

Comments: 17 pages, 4 figures, 1 table
Categories: math.NA
Related articles: Most relevant | Search more
arXiv:1703.07313 [math.NA] (Published 2017-03-21)
On the notion of boundary conditions in comparison principles for viscosity solutions
arXiv:2303.09920 [math.NA] (Published 2023-03-17)
High-Degree Splines from Discrete Fourier Transforms: Robust Methods to Obtain the Boundary Conditions
arXiv:1801.04977 [math.NA] (Published 2017-12-13)
Spectra of Tridiagonal Matrices

Links

Toolbox