Vol. 60, No. 4, 2020

Computational Mathematics and Mathematical Physics

Dedicated to S.K. Godunov on the Occasion of His 90th Birthday

Superconvergent Algorithms for the Numerical Solution of the Laplace Equation in Smooth Axisymmetric Domains

V. N. Belykh p. 545 abstract

Generalized Solutions of the Galilean Invariant Thermodynamically Compatible Conservation Laws Constructed Using Godunov’s Ideas

M. Ya. Ivanov and V. K. Mamaev p. 558 abstract

Numerical Method of Quasi-Isometric Parametrization for Two-Dimensional Curvilinear Domains

S. K. Godunov, V. T. Zhukov and O. B. Feodoritova p. 568 abstract

Optimization Methods for Solving Inverse Immunology and Epidemiology Problems

S. I. Kabanikhin and O. I. Krivorotko p. 580 abstract

Problems on a Semiaxis for an Integro-Differential Equation with Quadratic Nonlinearity

V. L. Vaskevich p. 590 abstract

Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients

I. I. Matveeva p. 601 abstract

S.K. Godunov and Kinetic Theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences

S. Z. Adzhiiev, Ya. G. Batishcheva, V. V. Vedenyapin, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, M. A. Negmatov, Yu. N. Orlov, N. N. Fimin and V. M. Chechetkin p. 610 abstract

Cauchy Problem for One Pseudohyperbolic System

L. N. Bondar, G. V. Demidenko and G. M. Pintus p. 615 abstract

Study of Entropy Properties of a Linearized Version of Godunov’s Method

S. K. Godunov, V. V. Denisenko, D. V. Klyuchinskii, S. V. Fortova and V. V. Shepelev p. 628 abstract

Optimization of a Finite-Difference Scheme for Numerical Solution of the Helmholtz Equation

V. I. Kostin and S. A. Solov’ev p. 641 abstract

Generalized and Variational Statements of the Riemann Problem with Applications to the Development of Godunov’s Method

I. S. Menshov p. 651 abstract

On the Existence and Uniqueness of the Solution to the Cauchy Problem for a System of Integral Equations Describing the Motion of a Rarefied Mass of a Self-Gravitating Gas

N. P. Chuev p. 663 abstract

On Linear Instability of the State of Rest of an Incompressible Polymer Fluid in the Presence of Strong Discontinuity

A. M. Blokhin and R. E. Semenko p. 673 abstract

On the Stability of Plasma Equilibrium in the Neighborhood of a Straight Current Conductor

K. V. Brushlinskii, S. A. Krivtsov and E. V. Stepin p. 686 abstract

Stability of One-Dimensional Steady Flows with Detonation Wave in a Channel of Variable Cross-Sectional Area

Kh. F. Valiyev, A. N. Kraiko and N. I. Tillyayeva p. 697 abstract

Method of Difference Potentials for Evolution Equations with Lacunas

S. V. Petropavlovsky and S. V. Tsynkov p. 711 abstract

Thermodynamic Consistency and Mathematical Well-Posedness in the Theory of Elastoplastic, Granular, and Porous Materials

V. M. Sadovskii p. 723 abstract

Application of the Nesvetay Code for Solving Three-Dimensional High-Altitude Aerodynamics Problems

V. A. Titarev p. 737 abstract

Contents

Computational Mathematics and Mathematical Physics