Chair: Michal Křížek, Pavel Kůs, Jakub Šístek, Tomáš Vejchodský

Old web page with the seminar history: http://users.math.cas.cz/~okmma/

Institute of Mathematics of the CAS

Friday, 15. September 2017 - 9:00 to 10:00

University of Zagreb

Friday, 6. October 2017 - 9:00 to 10:00

Filtered subspace iteration with Rayleigh-Ritz eigenvalue extraction is a method which has recently seen an interesting revival in the form of the FEAST algorithm. In this talk we present a method motivated by the FEAST iteration and apply it directly on the operator level. The core of the algorithm is a numerical resolvent calculus based on contour quadratures. And so, discretizing resolvents of self-adjoint operators in a robust way is the key ingredient of a successful algorithm. We use discontinuous Petrov-Galerkin method to construct a discretized resolvent function and obtain mesh independent convergence rate for the eigenvalue approximation method. We present numerical experiments with Schroedinger Hamiltonians as model problems.

Institute of Mathematics of the CAS

Friday, 13. October 2017 - 9:00 to 10:00

Jan Kalina

Institute of Computer Science of the CAS, Prague

Friday, 20. October 2017 - 9:00 to 10:00