Multilevel spline approximations on non-uniform grid

Alexander Zimin

May 28, 2009, 1:45 p.m. HF 136

The approach with biorthogonal system of functionals to construct multilevel spline approximations on uniform grid was developed by Yu.K. Demjanovich (SPbSU) in 2003. I present results of my thesis on construction of these approximations in case when only one knot is inserted into a non-uniform grid. Considered cases include grid on a line and on a smooth manifold.