Vol. 59, No. 4, 2019

Computational Mathematics and Mathematical Physics

Stability of a Difference Scheme for a Quasi-Linear Partial Differential Algebraic System of Equations of Index (k, 0)

S. V. Svinina and A. K. Svinin p. 513 abstract

Asymptotic Solution of the Helmholtz Equation in a Three-Dimensional Layer of Variable Thickness with a Localized Right-Hand Side

P. N. Petrov and S. Yu. Dobrokhotov p. 529 abstract

Approximate Solution of Differential Equations with the Help of Rational Spline Functions

V. G. Magomedova and A.-R. K. Ramazanov p. 542 abstract

Existence of a Solution of the Inverse Coefficient Problem for a Quasilinear Hyperbolic Equation

A. M. Denisov p. 550 abstract

Analytical Solution of Lamb’s Problem in the Case of a Limiting Poisson Ratio

Kh. Kh. Il’yasov, A. V. Kravtsov, S. V. Kuznetsov and S. Ya. Sekerzh-Zenkovich p. 559 abstract

Asymptotic Stability of a Stationary Solution of a Multidimensional Reaction–Diffusion Equation with a Discontinuous Source

N. T. Levashova, N. N. Nefedov and A. O. Orlov p. 573 abstract

Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations

M. O. Korpusov p. 583 abstract

Plane-Parallel and Axisymmetric Flows with a Straight Sonic Line

A. N. Kraiko, N. I. Tillyayeva and T. V. Shamardina p. 610 abstract

Local Bifurcations in the Cahn–Hilliard and Kuramoto–Sivashinsky Equations and in Their Generalizations

A. N. Kulikov and D. A. Kulikov p. 630 abstract

On the Solvability of the Problem of Electromagnetic Wave Diffraction by a Layer Filled with a Nonlinear Medium

V. Yu. Kurseeva, Yu. G. Smirnov and E. Yu. Smolkin p. 644 abstract

Solution of a Contact Elasticity Problem with a Rigid Inclusion

R. V. Namm and G. I. Tsoy p. 659 abstract

Influence of Inertia of a Compliant Surface on Viscous Instability of an Incompressible Boundary Layer

I. V. Savenkov p. 667 abstract

Optimization of the Number and Arrangement of Circles of Two Radii for Forming a k-Covering of a Bounded Set

Sh. I. Galiev and A. V. Khorkov p. 676 abstract