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.