Education
1976 M.Sc. in Mathematics, from Charles University, Prague
1979 RNDr. in Mathematics, from Charles University, Prague
1981 Ph.D. in Numerical Analysis, from Charles University, Prague
2004 Habilitation in Applied mathematics, University of Chemistry and Technology, Prague
2013 Professor in Applied Mathematics, Faculty of Nuclear Sciences and Physical Engineering,
Czech technical university in Prague
Employment
1976 – 1977 System Programmer in the Computing Center, Charles University, Prague
1977 – 1981 Ph.D. student at Department of Numerical Analysis, Faculty of Mathematics and Physics,
Charles University, Prague
1981 – 1983 On maternity leave, staying with my husband in Malta
1983 – 1998 Scientific co-worker at Department of Numerical Analysis, Faculty of Mathematics and Physics,
Charles University, Prague
1998 – 2004 Assistant Professor at Department of Mathematics, Faculty of Chemical Engineering,
University of Chemistry and Technology, Prague
2004 – 2013 Associate Professor at Department of Mathematics, Faculty of Chemical Engineering,
University of Chemistry and Technology, Prague
2013 – till now Professor at Department of Mathematics, Faculty of Chemical Engineering,
University of Chemistry and Technology, Prague
In the course of my academical career I have lectured on various topics - ranging from pure mathematics to the programming languages.
I would like to recall e.g. Partial Differential Equations and Numerical Linear Algebra for MSc. students at Faculty of Maths&Physics,
Charles University, Prague, Mathematics for chemical engineers and Methods of Applied Mathematics
(mathematical foundation of the finite element method) for MSc. and Ph.D. students at University of Chemistry and Technology, Prague.
My research field is Numerical Analysis, namely numerical solution of nonlinear problems,
bifurcations and problems in Numerical Linear Algebra.
For many years I have cooperated with my colleagues abroad, namely in Germany (University Hamburg, University Marburg,
University Konstanz) and in Japan (Institute of Statistical Mathematics, Waseda University, Tokyo). I am doing my best to take advantage of these contacts for the benefit of our students in the frame of the Socrates-Erasmus program.
I am a coordinator of Erasmuscooperation agreements with University Hamburg and University Konstanz. I have been a member of several local organizing committees for internationalconferences in Prague (annual GAMM meeting - 1996, Czech-American Workshopon Iterative Methods and Parallel Computing - 1997, 3rd Scientific Colloquium- 2001, ICT Prague, Software and Algorithms of Numerical Mathematics - every second year till 2004). I was also a member of the scientific committeeof the international conference Preconditioning of Iterative Methods in Prague- 2013. Together with doc. Turzík, I was a head of the organizing committee of the 4th Scientific Colloquium, Prague, June 2014. This colloquium was organized by Department of Mathematics UCT. In 2015, I was one of three organizers of the international conference Noncommutative Algebras and Applications (NCAA) in Goslar(SRN).
Taking into account that an academic job should also be considered as a hobbythese days, there is no much time left for my really private pleasures. But thereare some: literature, classical music and theater.
2010 - present
2010 - present
Future scientific research
-
Numerical Linear Algebra
With my coauthor pro. Gerhard Opfer from University Hamburg, we try to build numerical linear algebra on the field of quaternions. Quaternions have found their way into applications in computer graphics, computer vision, robotics, navigation, molecular dynamics,
orbital mechanics of satellites, etc. All these applications are essentially based on the capability of the multiplicatio with a single
quaternion in the sense of an orthogonaltransformation. We have studied for example different reductions ofthe quaternionic
matrices or polynomials defined by quaternions. Thereare also other types of noncommutative algebras, for example coquaternionsor
tessarines. For example, we study algebraic Riccati equation inquaternions.
-
Nonlinear Dynamical Systems
With my Ph.D. students, we study the long–term qualitative behavior of nonlinear dynamical systems including numerical solutions
and simulations. In particular, we apply the Filippov systems theory to selected problems from biology and chemical engineering.
For example we explored a new formulation of Bazykin’s ecological model, a predator-prey model with human intervention, an ideal
gas–liquid system including DAE formulation of the system with a chemical reaction, etc. We illustrate the theory by simulations of the behavior of the specific systems.
Concept of teaching
Except for the basic courses for bachelors, I run advance lectures that are designed for master and doctoral students who want to deepen their mathematical education: the objective is to model, simulate and solve particular problems in chemical engineering. This includes Dynamical Systems, Ordinary and Partial Differential equations, Finite Element Method, Numerical Analysis, etc. These activities are directly related to my research.