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Two-sided eigenvalue bounds for the Euler-Bernoulli beam
Jana Burkotova, Jitka Machalova, Tomas Vejchodsky
We derive novel guaranteed lower bounds for eigenvalues of the Euler-Bernoulli beam with variable bending stiffness. While the standard finite element Rayleigh-Ritz method automati…
Compositional splines for representation of density functions
Jitka Machalova, Renata Talska, Karel Hron +1
In the context of functional data analysis, probability density functions as non-negative functions are characterized by specific properties of scale invariance and relative scale…
Preprocessing of centred logratio transformed density functions using smoothing splines
Jitka Machalova, Karel Hron, Gianna Serafina Monti
With large-scale database systems, statistical analysis of data, formed by probability distributions, become an important task in explorative data analysis. Nevertheless, due to sp…