Boris N. Khoromskij

Teaching

Lectures for graduate/postgraduate students

1993 Fast Elliptic Problem Solvers via Reduction to the Interface ,
University of Nijmegen, The Netherlands.

1997 Multilevel Schur-complement Methods for Numerical Solution of Elliptic Differential Equations,
University of Stuttgart.

2001-2002 (WS) Efficient Numerical Solution of Elliptic Differential Equations by Finite Element Methods , University of Leipzig.
2002-2003 (WS) Data-Sparse Approximation of Integral Operators ,
University of Leipzig.

2005 (WS) Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators.
MPI MIS/University of Leipzig.

2006-2007 Methods of Tensor Approximation in Multi-dimensional Applications.
University of Leipzig/International Research School of Math. at MPI MIS.

2008-2009 (WS) Tensor Approximation Methods for Integral-Differential Equations in R^d.
University of Linz (Austria), RICAM/Math. Faculty, Doctoral Program "Computational Mathematics".

2010 (WS) Introduction to Tensor Numerical Methods in Scientific Computing.
The University/ETH Zuerich, Doctoral Program WS 2010.

2015 (SS) Tensor Numerical Methods for Multi-dimensional PDEs with Applications.
15 lecture course at the 25th Jyvaskyla Summer School,
University of Jyvaskyla, Finnland, 10-14 August, 2015.

2017 (SS) Tensor Numerical Methods for Multi-dimensional PDEs with Applications.
15 lecture course, Summer School at the Institute of Natural Sciences, SJTU
Shanghai Jiaotong University, China, April 6-12, 2017.


Supervision of PhD students

Dr. E.A. Ayrjan, PhD, 1985.
Numerical algorithms on a sequence of grids for solution of boundary value problems in magnetostatics.
Synopsis of PhD dissertation, JINR, 11-85-216, Dubna, 1985.

Dr. O.I. Juldashev, PhD, 1987.
Boundary integral equations in magnetostatics problems.
Synopsis of PhD dissertation, JINR, 11-87-111, Dubna, 1987.

Dr. E.G. Nikonov, PhD, 1989.
Numerical methods for solving the quasi-potential integral equations.
Synopsis of PhD dissertation, JINR, 11-89-248, Dubna, 1989.

Dr. G.E. Mazurkevich, PhD, 1990.
Domain decomposition methods for solution of quasilinear elliptic equations in combined formulation.
Synopsis of PhD dissertation, JINR, 11-90-285, Dubna, 1990.

Dr. A. Litvinenko, PhD, 2006 (joint supervision with Prof. Dr. W. Hackbusch).
Application of hierarchical matrices for solving multiscale problems
Max-Planck Institute for Mathematics in the Sciences, 2006.

Dr. Sergey Dolgov, PhD, 2014.
Tensor product methods in numerical simulation of high-dimensional dynamical problems.
Max-Planck Institute for Mathematics in the Sciences, 2014.