Mathematical and Numerical Analysis of Nonlinear Partial Differential Equations Problems of Dispersive and Dissipative Nonlinear Wave Propagation in Solids Numerical Investigation of Fundamental Solitons in Nonlinear Media Differential Geometry and Mathematical Physics Special Riemannian and Semi-Riemannian Manifolds Data Analysis, Control, and Optimization Computational Finance and Economics Submanifolds of Finite Type Statistical Modeling