Simulation of Flow in Fractured Poroelastic Media: a Comparison of Different Discretization Approaches -- A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics -- Well-Posedness in H¨older Spaces of Elliptic Differential and Difference Equations -- Operator Semigroups for Convergence Analysis -- The Power of Trefftz Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods; Nonreflecting Conditions and Non-Asymptotic Homogenization -- On Extension of Asymptotic Comparison Principle for Time Periodic Reaction-Diffusion-Advection Systems with Boundary and Internal Layers -- The Finite Difference Method for Boundary Value Problem with Singularity -- Superconvergence of Some Linear and Quadratic Functionals for Higher-order Finite Elements -- Time Step for Numerically Solving Parabolic Problems -- Recent Advances in Numerical Solution of HJB Equations Arising in Option Pricing -- Applications of Numerical Methods for Stochastic Controlled Switching Diffusions with A Hidden Markov Chain: Case Studies on Distributed Power Management and Communication Resource Allocation -- Error Estimates of the Crank-Nicolson-Polylinear FEM with the discrete TBC for the Generalized Schr¨odinger Equation in an Unbounded Parallelepiped -- Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions -- Some Results of FEM Schemes Analysis by Finite Difference Method -- Application of Finite Difference TVD Methods in Hypersonic Aerodynamics -- Finite Difference Equations for Neutron Flux and Importance Distribution in 3D Heterogeneous Reactor -- Matrix-free Iterative Processes for Implementation of Implicit Runge–Kutta Methods -- Simulation of Technogenic and Climatic Influences in Permafrost -- Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron -- Modeling Textile Fabric used in Pest Control with a 3 Scale Domain Decomposition Method -- The Theory and Applications of the SMIF Method for Correct Mathematical Modeling of the Incompressible Fluid Flows -- Determination of the Time-dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity -- Inverse Problems of Simultaneous Determination of the Time-dependent Right-hand Side Term and the Coefficient in a Parabolic Equation -- Effectiveness of the parallel implementation of the FEM for the problem of the surface waves propagation -- Splitting Scheme for Poroelasticity and Thermoelasticity Problems.