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Current Problems in Numerical Analysis

usually takes place each Friday, at 09:00 in IM, front building, third floor
Chair: Michal Křížek, Pavel Kůs, Jakub Šístek, Tomáš Vejchodský
Old web page with the seminar history:

Block Krylov methods for functions of matrices

Kathryn Lund
Charles University
Friday, 11. October 2019 - 9:00 to 10:00

A variety of block Krylov subspace methods have been successfully developed for linear systems and matrix equations. The application of block Krylov methods to computing matrix functions is, however, less established, despite the growing prevalence of matrix functions in scientific computing. Of particular importance is the evaluation of a matrix function on not just one but multiple vectors. The main contribution of this work is a class of efficient block Krylov subspace methods tailored precisely to this task. With the full orthogonalization method (FOM) for linear systems forming the backbone of our theory, the resulting methods are referred to as B(FOM)$^2$: block FOM for functions of matrices. Many other important results are obtained in the process of developing these new methods. Matrix-valued inner products are used to construct a general framework for block Krylov subspaces that encompasses already established results in the literature. Convergence bounds for B(FOM)$^2$... more

Cosmic microwave background radiation as a heat radiation of intergalactic dust

Václav Vavryčuk
Geophysical Institute of CAS
Friday, 18. October 2019 - 15:00 to 16:00


Bangwei She
Institute of Mathematics of the CAS
Friday, 22. November 2019 - 9:00 to 10:00

Spectral/hp Element Method and solver to Navier-Stokes-Fourier system with variable material properties

Jan Pech
Institute of Thermomechanics of the CAS
Friday, 13. December 2019 - 9:00 to 10:00