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.