Lunedì 20 gennaio 2020, alle ore 14:15 precise, presso l'aula Beltrami del
Dipartimento di Matematica "F. Casorati", il

Prof. Ricardo H. Nochetto, Department of Mathematics and Institute for
Physical Science and Technology, University of Maryland

terrà un seminario dal titolo:

NUMERICAL METHODS WITH CONVERGENCE RATES FOR THE MONGE-AMPERE EQUATION

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e
Dipartimento di Matematica, Pavia),

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Abstract.
We analyze the Oliker-Prussner method and a two-scale method for the
Monge-Ampere equation with Dirichlet boundary condition, and explore
connections with a Bellman formulation. We also study a two-scale
method for a fully nonlinear obstacle problem associated with convex
envelopes. We derive pointwise error estimates that rely on the
discrete Alexandroff maximum principle and the geometric structure of
these PDEs for both classical and non-classical solutions.