Speaker
Prof.
Sergey Ershov
(JINR)
Description
Computational methods based on a B-spline decomposition have found numerous applications
in different fields of physics. The Cox - de Boor recurrence relation is a main tool for numerical
calculations with B-splines. Here we derive the analytic representation of B-splines for an arbitrary
knot sequence and order using decomposition on Bernstein basis polynomials. This representation
allows to perform analytically many calculations with B-splines. Few examples of applications are
presented.
Primary author
Prof.
Sergey Ershov
(JINR)