Vol. 59, No. 1, 2019

Computational Mathematics and Mathematical Physics

On Error Control in the Numerical Solution of Reaction–Diffusion Equation

V. G. Korneev p. 1 abstract

Universal Method of Searching for Equilibria and Stochastic Equilibria in Transportation Networks

D. R. Baimurzina, A. V. Gasnikov, E. V. Gasnikova, P. E. Dvurechensky, E. I. Ershov, M. B. Kubentaeva and A. A. Lagunovskaya p. 19 abstract

Gradient Projection Method for Optimization Problems with a Constraint in the Form of the Intersection of a Smooth Surface and a Convex Closed Set

Yu. A. Chernyaev p. 34 abstract

Analytical-Numerical Approach to Describing Time-Periodic Motion of Fronts in Singularly Perturbed Reaction–Advection–Diffusion Models

V. T. Volkov, D. V. Lukyanenko and N. N. Nefedov p. 46 abstract

Numerical Method for Solving an Inverse Problem for Laplace’s Equation in a Domain with an Unknown Inner Boundary

S. V. Gavrilov p. 59 abstract

The Green Function of the Dirichlet Problem for the Biharmonic Equation in a Ball

V. V. Karachik p. 66 abstract

Efficiency of Two Approaches to Computing the Flow around an Airfoil with Flaps in the Case of Flow Separation

S. M. Bosnyakov, V. V. Vlasenko, M. F. Engulatova, S. V. Matyash, S. V. Mikhailov and S. S. Molev p. 82 abstract

Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Nonlinearities

A. I. Denisov and I. V. Denisov p. 96 abstract

Quantum Effects on Optical Properties of a Pair of Plasmonic Particles Separated by a Subnanometer Gap

Yu. A. Eremin and A. G. Sveshnikov p. 112 abstract

Smoothness with Respect to Viscosity of the Solutions of Navier–Stokes-Type Operator Equations

V. I. Kachalov p. 121 abstract

Comparing the Spatial Structure of Molecules by Minimizing a Comparison Function

E. B. Laneev and N. Yu. Chernikova p. 128 abstract

Simulating Flows of Viscous Incompressible Fluid on Graphics Processors Using the Splitting Scheme and Multigrid Method

K. N. Volkov, V. N. Emel’yanov, A. G. Karpenko and I. V. Teterina p. 136 abstract

Compacton Solutions of the Korteweg–de Vries Equation with Constrained Nonlinear Dispersion

S. P. Popov p. 150 abstract

Spherical Shell of the Boundary of a Compact Set with a Minimum Cross-Sectional Area Formed by a Two-Dimensional Plane

S. I. Dudov and M. A. Osiptsev p. 160 abstract