Biomedical information processing, mathematical methods for extracting useful signal from high intensity background noise

Bioinformatics

Information modeling through multidimensional data cubes and issues related to data sparsity in the model, big data, data warehouses, data quality

Approximations of derivatives, approximations for the fractional integral, numerical methods

Modeling in financial mathematics, valuation and calibration of financial derivatives; numerical methods for partial and ordinary differential equations with applications in computational and quantitative finance, mathematical and computer modeling of natural and anthropogenic phenomena such as: transfer of pollutants in air and water environment; population dynamics of honey bees; spread of infectious diseases

Internet of things, artificial intelligence, intelligent service recommendation for mobile users, Internet tomography

Iinformation modelling, OLAP, big data, neural networks.

Development of numerical methods for mathematical and computer modeling and applications. Monte Carlo and Quasi-Monte Carlo methods for multidimensional integrals, integral equations and linear systems. Stochastic methods for sensitivity analysis of large mathematical models. Numerical methods based on lattice point sets with different generating vectors. Comparisons of quasi random sequences with low discrepancy. Compact difference schemes with high degree of accuracy for model problems in ecology. Applications of numerical methods of high accuracy in ecology, physics, quantum mechanics, finance, statistics, biology and communication technologies.