3 papers
math.NA2024
comparison of two models to predict vertebral failure loads on the same experimental dataset
V. Allard, C. Heidsieck, F. Bermond +7
Clinical use of finite element analysis requires validation and reproducibility studies. The current study compared two models of vertebral bodies including endplates, on the same…
math.NA2015
spline fits via sliding window process : continuous and discrete cases
Laurent Gajny, Olivier Gibaru, Eric Nyiri
Best approximation of the Heaviside function and best approximation of multiscale univariate datasets by cubic splines have a Gibbs phenomenon. Numerical experiments…
math.FA2014
Best approximation of Heaviside-type functions in Chebyshev and weak-Chebyshev spaces
Laurent Gajny, Olivier Gibaru, Eric Nyiri +1
In this article, we study the problem of best approximation of Heaviside-type functions in Chebyshev and weak-Chebyshev spaces. We extend the Hobby-Rice theorem into an appro…