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Title

Authors

Vol 65, No 3 (2025)

Error Analysis of Numerical Methods for Optimization Problems

Chernov A.V., Birjukov A.G., Lisachenko A.M., Chernova J.G.

(Rus)

Vol 65, No 3 (2025)

SUMMATION METHOD FOR FOURIER SERIES ASSOCIATED WITH A MIXED PROBLEM FOR THE INHOMOGENEOUS TELEGRAPH EQUATION

Lomov I.S.

(Rus)

Vol 65, No 2 (2025)

DERIVATION OF LOWER ERROR BOUNDS FOR THE BILINEAR FINITE ELEMENT METHOD WITH A WEIGHT FOR THE ONE-DIMENSIONAL WAVE EQUATION

Zlotnik A.A.

(Rus)

Vol 63, No 12 (2023)

Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method

Dahiya S., Singh A., Singh S.P.

(Rus)

Vol 63, No 11 (2023)

Differential-Difference Equations with Optimal Parameters

Mastryukov A.F.

(Rus)

Vol 64, No 4 (2024)

On Some Works of Boris Teodorovich Polyak on the Convergence of Gradient Methods and Their Development

Ablaev S.S., Beznosikov A.N., Gasnikov A.V., Dvinskikh D.M., Lobanov A.V., Puchinin S.M., Stonyakin F.S.

(Rus)

Vol 63, No 12 (2023)

Analysis of Defects and Harmonic Grid Generation in Domains with Angles and Cutouts

Bezrodnykh S.I., Vlasov V.I.

(Rus)

Vol 63, No 5 (2023)

Quasi-Solution Method and Global Minimization of the Residual Functional in Conditionally Well-Posed Inverse Problems

Kokurin M.Y.

(Rus)

Vol 64, No 5 (2024)

INVESTIGATION AND OPTIMIZATION OF THE N-PARTIAL NUMERICAL STATISTICAL ALGORITHM FOR SOLVING THE BOLTZMANN EQUATION

Lotova G.Z., Mikhailov G.A., Rogazinsky S.V.

(Rus)

Vol 63, No 10 (2023)

Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail

Kozhemyachenko A.A., Favorskaya A.V.

(Rus)

Vol 64, No 8 (2024)

NUMERICAL SOLUTION OF THE IONIZATION EQUATIONS BY STEP FRACTIONS

Gavrikov M.B., Tayursky A.A.

(Rus)

Vol 63, No 5 (2023)

ALTERNATIVE DIRECTION IMPLICIT METHOD FOR SOLVING FIRST ORDER 2D HYPERBOLIC DELAY DIFFERENTIAL EQUATIONS

Karthick S., Subburayan V.

(Rus)

Vol 63, No 12 (2023)

Accelerating the Solution of the Boltzmann Equation by Controlling Contributions to the Collision Integral

Tcheremissine F.G.

(Rus)

Vol 65, No 2 (2025)

COMBINING THE GRID-CHARACTERISTIC METHOD WITH THE DISCONTINUOUS GALERKIN METHOD FOR MODELING WAVE PROPAGATION IN LINEAR ELASTIC MEDIA IN THE THREE-DIMENSIONAL CASE

Favorskaya A.V., Petrov I.B., Kozhemyachenko A.A.

(Rus)

Vol 63, No 12 (2023)

Data Parallelization Algorithms for the Direct Simulation Monte Carlo Method for Rarefied Gas Flows on the Basis of OpenMP Technology

Bykov N.Y., Fyodorov S.A.

(Rus)

Vol 63, No 8 (2023)

Error Estimation and Optimization of the Direct Simulation Monte Carlo Method Taking into Account Spatial Regularization

Plotnikov M.Y., Shkarupa E.V.

(Rus)

Vol 63, No 2 (2023)

Reynolds Analogy Coefficient in the Longitudinal Cylindrical Couette Problem: from the Continuous Medium to Free Molecular Flow

Abramov A.A., Aleksandrov V.Y., Butkovskii A.V.

(Rus)

Vol 64, No 11 (2024)

APPLICATION OF THE CONJUGATE GRADIENT METHOD FOR SOLVING UNILATERAL DISCRETE CONTACT PROBLEMS FOR AN ELASTIC HALF-SPACE

Bobylev A.A.

(Rus)

Vol 64, No 10 (2024)

SOLVING SOME INVERSE PROBLEMS OF GRAVIMETRY AND MAGNETOMETRY USING AN ALGORITHM TO IMPROVE THE NUMBER OF MATRIX CONDITIONALITY

Leonov A.S., Lukyanenko D.V., Yagola A.G.

(Rus)

Vol 64, No 7 (2024)

REGULARIZATION OF THE SOLUTION OF DEGENERATE SYSTEMS OF ALGEBRAIC EQUATIONS BY THE EXAMPLE OF IDENTIFICATION OF THE VIRIAL EQUATION OF STATE OF A REAL GAS

Vikulov A.G.

(Rus)

Vol 63, No 9 (2023)

Universal Approach to Analysis of Dissipation Properties of a Numerical Method for Solving Gas Dynamic Equations

Chuvakhov P.V., Pogorelov I.O., Shubin K.V.

(Rus)

Vol 63, No 2 (2023)

On Approximate Solution of One Class of Singular Integro-Differential Equations

Gabbasov N.S.

(Rus)

Vol 65, No 1 (2025)

AN IDEAL-FLUID FLOW THROUGH A NEAR-WALL FIXED GRANULAR LAYER IN THE FORM OF SEMI-INFINITE STEP

Gus’kov O.B.

(Rus)

Vol 64, No 8 (2024)

FREE BOUNDARY METHOD FOR COUPLED PROBLEMS OF GAS AND SOLID DYNAMICS

Menshov I.S.

(Rus)

Vol 64, No 6 (2024)

ANALYTICAL-NUMERICAL METHOD FOR SOLVING THE SPECTRAL PROBLEM IN A MODEL OF GEOSTROPHIC OCEAN CURRENTS

Skorokhodov S.L., Kuzmina N.P.

(Rus)

Vol 63, No 11 (2023)

Analyticity and Pseudo-Analyticity in the Small Parameter Method

Kachalov V.I., Maslov D.A.

(Rus)

Vol 63, No 8 (2023)

Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions

Demirbilek U., Mamedov K.R.

(Rus)

Vol 63, No 6 (2023)

MIXED VIRTUAL ELEMENT APPROXIMATION OF A FOURTH ORDER OPTIMAL CONTROL PROBLEM

Yang M., Shen Y., Zhou .

(Rus)

Vol 63, No 2 (2023)

A Unified Analysis of Variational Inequality Methods: Variance Reduction, Sampling, Quantization, and Coordinate Descent

Beznosikov A.N., Gasnikov A.V., Zainullina K.E., Maslovskii A.Y., Pasechnyuk D.A.

(Rus)

Vol 65, No 1 (2025)

MODELING UPPER MANTLE CONVECTION IN THE SUBDUCTION ZONE

Chetyrbotskii A.N.

(Rus)

Vol 64, No 8 (2024)

DENSITY GRADIENT MODEL IN A SPHERICALLY SYMMETRIC FORMULATION AND ITS EXPLICIT-IMPLICIT DISSIPATIVE DISCRETIZATION FOR STUDYING INTERFACE DYNAMICS

Balashov V.A., Pavlishina E.A., Savenkov E.B.

(Rus)

Vol 64, No 6 (2024)

FAULT-TOLERANT FAMILIES OF PRODUCTION PLANS: MATHEMATICAL MODEL, COMPUTATIONAL COMPLEXITY AND BRANCH AND BOUND ALGORITHMS

Ogorodnikov Y.Y., Rudakov R.A., Khachay D.M., Khachay M.Y.

(Rus)

Vol 64, No 3 (2024)

Boundary value problem of calculating ray characteristics of ocean waves reflected from coastline

Nosikov I.A., Tolchennikov A.A., Klimenko M.V.

(Rus)

Vol 63, No 10 (2023)

Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities

Mitskovets I.A., Khokhlov N.I.

(Rus)

Vol 63, No 7 (2023)

Inverse Problems for the Helmholtz Equation on Finding the Right-Hand Side with Nonlocal Integral Observation

Sabitov K.B.

(Rus)

Vol 63, No 3 (2023)

“Fast” Solution of the Three-Dimensional Inverse Problem of Quasi-Static Elastography with the Help of the Small Parameter Method

Leonov A.S., Nefedov N.N., Sharov A.N., Yagola A.G.

(Rus)

Vol 65, No 1 (2025)

SOLVABILITY THEORY OF SPECIAL INTEGRODIFFERENTIAL EQUATIONS IN THE CLASS OF GENERALIZED FUNCTIONS

Gabbasov N.S.

(Rus)

Vol 64, No 11 (2024)

THE MULTIPOLE METHOD FOR SOME MIXED BOUNDARY VALUE PROBLEMS AND ITS APPLICATION TO THE CONSTRUCTION OF A CONFORMAL MAPPING

Bagapsh A.O., Vlasov V.I.

(Rus)

Vol 64, No 8 (2024)

ON AN APPROACH TO IMPROVING THE ACCURACY AND EFFICIENCY OF THE ROMB METHOD FOR SOLVING THE UNSTEADY HEAT CONDUCTION EQUATION

Moiseev N.Y.

(Rus)

Vol 63, No 12 (2023)

Stability Analysis of Polymerization Fronts

Joundy Y., Rouah H., Taik A.

(Rus)

Vol 63, No 3 (2023)

On a Flow Around a Cylinder Over Uneven Bottom

Baikov N.D., Petrov A.G.

(Rus)

Vol 65, No 1 (2025)

ON SPECTRAL APPROXIMATIONS FOR THE STABILITY ANALYSIS OF BOUNDARY LAYERS

Zasko G.V.

(Eng)

Vol 64, No 9 (2024)

NUMERICAL CALCULATION OF THE EFFECT OF THE METHANE MIGRATION PROCESS ON THE RESULTS OF SEISMIC EXPLORATION IN PERMAFROST ZONES

Guseva E.K., Golubev V.I., Petrov I.B.

(Rus)

Vol 64, No 5 (2024)

ON THE STABILITY OF A STABILIZING CORRECTION SCHEME WITH CENTRAL DIFFERENCES FOR SPATIAL VARIABLES IN THE 3D TRANSPORT EQUATION

Zhukov V.P.

(Rus)

Vol 64, No 3 (2024)

Sturm–Liouville problem for a one-dimensional thermoelastic operator in Cartesian, cylindrical, and spherical coordinate systems

Zemskov A.V., Tarlakovskii D.V.

(Rus)

Vol 63, No 12 (2023)

Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure

Bezrodnykh S.I., Zametaev V.B., Chzhun T.H.

(Rus)

Vol 63, No 10 (2023)

A Novel Uniform Numerical Approach to Solve a Singularly Perturbed Volterra Integro-Differential Equation

Cakira M., Cimena E.

(Rus)

Vol 65, No 1 (2025)

COLLOCATION-VARIATIONAL APPROACHES TO SOLVE THE VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND NUMERICALLY

Bulatov M.V.

(Rus)

Vol 64, No 10 (2024)

VERIFICATION OF A NUMERICAL ALGORITHM BASED ON QUASI-HYDRODYNAMIC EQUATIONS USING THE EXAMPLE OF MODELING THERMOGRAVITATIONAL CONVECTION

Kiryushina M.A., Elizarova T.G., Yepikhin A.S.

(Rus)

Vol 64, No 7 (2024)

USING MONTE CARLO WEIGHT SCHEMES FOR WEAKLY IONIZED RAREFIED GAS FLOWS

Shevyryan A.A., Bondar E.A.

(Rus)

Vol 64, No 5 (2024)

ON A NUMERICAL METHOD FOR SOLVING THE CAUCHY PROBLEM FOR SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS

Maslov D.A.

(Rus)

Vol 64, No 3 (2024)

Exponentially convergent numerical scheme for the stream function of potential flow over axisymmetric bodies

Petrov A.G.

(Rus)

Vol 63, No 10 (2023)

Boundary and Contact Conditions of Higher Order of Accuracy for Grid-Characteristic Schemes in Acoustic Problems

Shevchenko A.V., Golubev V.I.

(Rus)

Vol 63, No 4 (2023)

Estimating the Domain of Absolute Stability of a Numerical Scheme Based on the Method of Solution Continuation with Respect to a Parameter for Solving Stiff Initial Value Problems

Kuznetsov E.B., Leonov S.S., Tsapko E.D.

(Rus)

Vol 63, No 2 (2023)

Solution of the Boltzmann Equation in the Continuum Flow Regime

Tcheremissine F.G.

(Rus)

Vol 64, No 12 (2024)

THE AVERAGING METHOD IN THE PROBLEM OF CONSTRUCTING SELF-OSCILLATORY SOLUTIONS OF DISTRIBUTED KINETIC SYSTEMS

Kubyshkin E.P.

(Rus)

Vol 64, No 10 (2024)

ON THE NON-INERT PERTURBATION METHOD FOR PROVING THE EXISTENCE OF NON-LINEARIZABLE SOLUTIONS IN A NONLINEAR EIGENVALUE PROBLEM ARISING IN THE THEORY OF WAVEGUIDES

Valovik D.V., Dyundyaeva A.A., Tikhov S.V.

(Rus)

Vol 64, No 7 (2024)

COMPARATIVE ANALYSIS OF THE INFLUENCE OF SURFACE QUANTUM EFFECTS ON THE OPTICAL CHARACTERISTICS OF NANOPARTICLES OF ALKALI AND NOBLE METALS

Eremin Y.A., Lopushenko V.V.

(Rus)

Vol 64, No 5 (2024)

NUMERICAL-ANALYTICAL METHOD OF DECOMPOSITION-AUTOCOMPENSATION FOR SOLVING THE SIGNAL RECOGNITION PROBLEM BASED ON INACCURATE OBSERVATIONS

Bulychev Y.G.

(Rus)

Vol 64, No 3 (2024)

Exact formula for the solution of degenerate system of quadratic equations

Evtushenko Y.G., Tret'yakov A.A.

(Rus)

Vol 63, No 11 (2023)

Analysis of the Influence of Quantum Effects on Optical Characteristics of Plasmonic Nanoparticles Based on the Discrete Sources Method

Eremin Y.A., Lopushenko V.V.

(Rus)

Vol 63, No 10 (2023)

Grid-Characteristic Numerical Method on an Irregular Grid with Extending the Interpolation Stencil

Vasyukov A.V., Smirnov I.E.

(Rus)

Vol 63, No 4 (2023)

Improved Accuracy Estimation of the Tikhonov Method for Ill-Posed Optimization Problems in Hilbert Space

Kokurin M.M.

(Rus)

Vol 63, No 5 (2023)

A GENERALIZED SIMPLIFIED HERMITIAN AND SKEW-HERMITIAN SPLITTING PRECONDITIONER FOR DOUBLE SADDLE POINT PROBLEMS

Meng L., He Y.W., Li J.

(Rus)

Vol 65, No 2 (2025)

CHEBYSHEV SPECTRAL METHOD FOR ONE CLASS OF SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

Rasol’ko G.A., Volkov V.M.

(Rus)

Vol 64, No 10 (2024)

USTIFICATION OF THE GALERKIN METHOD FOR SOLVING SINGULAR INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES

Fedotov A.I.

(Rus)

Vol 64, No 7 (2024)

ON THE UNIFORM CONVERGENCE OF APPROXIMATIONS OF THE TANGENT AND NORMAL DERIVATIVES OF THE POTENTIAL OF A SIMPLE LAYER NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN

Ivanov D.Y.

(Rus)

Vol 64, No 4 (2024)

Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms and Averaging Inequalities

Proskurnikov A.V., Zabaryanskaya I.S.

(Rus)

Vol 63, No 12 (2023)

A Novel Fitted Method for a Class of Singularly Perturbed Differential-Difference Equations with Small Delay Exhibiting Twin Layer or Oscillatory Behaviour

Alam J., Prasad H.S., Ranjan R.

(Rus)

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Vol 65, No 4 (2025)

Vol 65, No 4 (2025)

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