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Computational Mathematics

Computational Mathematics

The former Laboratory of Numerical Methods (presently Department of Computational Mathematics) was created in 1987 by some members of the Department of Mathematical Modeling. The aim was to further strengthen the direction of numerical methods for PDEs as the most important component in mathematical modeling as a research tool and means for industrial applications. Prof. Raytcho Lazarov was appointed for its Head and the first members were: Michail Kaschiev, Stefka Dimova, Ivan Dimov, Natalia Kolkovska, Oleg Iliev, Panayot Vassilevski, Tatyana Chernogorova and Angelina Yotova.
Further heads were Prof. Michail Kaschiev (1991-2004) and Assoc. Prof. Natalia Kolkovska. The scientific staff grew by Petar Shopov, Tanya Kostova-Vassilevska, Atanas Pehlivanov, Ivan Bazhlekov, Ludmil Zikatanov, Milena Dimova, Daniela Vasileva, Mariana Nikolova, Pavlin Entchev, Galin Dimitrov, Ivan Georgiev, Stanislava Stoilova.
Main fields of research are in the area of efficient numerical methods and algorithms for solving linear and nonlinear partial differential and integral equations and systems. Important results are obtained about the construction, stability and convergence analysis for finite element, finite difference and finite volume approximations; the construction and analysis of iterative methods, domain decomposition, a posteriori error control and adaptive grid refinement. The numerical methods and algorithms are applied in mathematical modeling and computer simulation of physical, engineering, environmental and other problems.
A number of applied projects were developed in collaboration with Institute of Metallurgy and Metal Sciences, Institute of Microelectronics, Sofia Technical University, Joint Institute for Nuclear Research (Dubna, Russia), Institute of Mathematical Modeling of Russian Academy of Sciences, Texas A&M University, Darmstadt University of Technology (Germany), Institute of Science and Technology of University of Manchester, the Engineering department of Queen Mary College (University of London), Fraunhofer Institute for Industrial Mathematics (Kaiserslautern, Germany).
The department was involved in the organization of six international conferences on Numerical Methods and Applications in Sofia and Borovets.

To the Power Point presentation of the department


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