Algebraic preconditioning, Gaussian elimination.
Solving augmented systems from potential fluid flow problem.
Sparse direct solvers, combinatorial numerical mathematics.
Implementations of sparse numerical methods.
Methods of numerical linear algebra.
Some recent projects:
- Institutional support of AV CR:
Preconditioning and Iterative Solution of Augmented Systems
March 2009 - March 2012 (principal
- Grant GA AS CR: A1030103: Scalable Sparse Linear Algebraic
Solvers: Analysis, Development, Implementation and Application
January 2001-December 2003 (principal
- Grant GA CR: 205/96/00921: Mathematical Models
of the Transport and the Reactions of the Chemical Substances in
the Contaminated Underground Water,
April 1996-December 1998 (principal co-investigator)
- Grant GA CR: 201/93/0067: Mathematical Models
of Underground Water Flow and of Transport of Dissolved Substances
for the Purpose of Remadiation of Consequences of Uranium Mining
in the Northern Bohemia, October 1993-December 1995 (principal