Computational Mathematics and Mathematical Physics

Article	Citations
Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications	39
Two Novel Bessel Matrix Techniques to Solve the Squeezing Flow Problem between Infinite Parallel Plates	16
Mathematical Modeling of the Wuhan COVID-2019 Epidemic and Inverse Problems	16
Mathematical Modeling of Household Economy in Russia	14
Optical Solitary Waves and Soliton Solutions of the (3+1)-Dimensional Generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony Equation	14
Accelerated Meta-Algorithm for Convex Optimization Problems	11
Accelerated Methods for Saddle-Point Problem	10
Semi-Classical Models of Quantum Nanoplasmonics Based on the Discrete Source Method (Review)	10
Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function	10
Reduced SIR Model of COVID-19 Pandemic	10
Problem of Aggregating of an Input–Output Model and Duality	10
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space	8
Numerical Simulation of Gas Mixtures Based on the Quasi-Gasdynamic Approach as Applied to the Interaction of a Shock Wave with a Gas Bubble	8
Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity	8
Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves	8
Asymptotics of the Riemann–Hilbert Problem for a Magnetic Reconnection Model in Plasma	8
On Lavrent’ev-Type Integral Equations in Coefficient Inverse Problems for Wave Equations	7
Analytical Solution for the Cavitating Flow over a Wedge. II	7
Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions	7
Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay	7
Derivation of the Equations of Electrodynamics and Gravity from the Principle of Least Action	7
Gradient-free Federated Learning Methods with l1 and l2-randomization for Non-smooth Convex Stochastic Optimization Problems	6
Corporate Dynamics in Chains of Coupled Logistic Equations with Delay	6
Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices	6
On the Uniqueness of Solutions to Systems of Linear Algebraic Equations Resulting from the Reduction of Linear Inverse Problems of Gravimetry and Magnetometry: a Local Case	6

Identification of the Thermal Conductivity Coefficient in the Three-Dimensional Case by Solving a Corresponding Optimization Problem	6
h-, p-, and hp-Versions of the Least-Squares Collocation Method for Solving Boundary Value Problems for Biharmonic Equation in Irregular Domains and Their Applications	6
Primal–Dual Newton Method with Steepest Descent for the Linear Semidefinite Programming Problem: Newton’s System of Equations	6
Existence and Stability of the Solution to a System of Two Nonlinear Diffusion Equations in a Medium with Discontinuous Characteristics	6
Analysis of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation and Discontinuous Structures in Their Solutions	6
Stable Method for Optical Monitoring the Deposition of Multilayer Optical Coatings	6
Morphological and Other Research Techniques for Almost Cyclic Time Series as Applied to СО2 Concentration Series	5
Determination of the Thermal Conductivity from the Heat Flux on the Surface of a Three-Dimensional Body	5
Numerical-Statistical and Analytical Study of Asymptotics for the Average Multiplication Particle Flow in a Random Medium	5
Reduced-Order Modeling of Deep Neural Networks	5
Justification of the Collocation Method for an Integral Equation of the Exterior Dirichlet Problem for the Laplace Equation	5
Identity for Deviations from the Exact Solution of the Problem $$\Lambda {\text{*}}\mathcal{A}\Lambda u + \ell = 0$$ and Its Implications	5
Adaptive Interpolation Algorithm Using TT-Decomposition for Modeling Dynamical Systems with Interval Parameters	5
Influence of Monotonization on the Spectral Resolution of Bicompact Schemes in the Inviscid Taylor–Green Vortex Problem	5
On the Particle Method for Electrons in an Inhomogeneous Scattering Medium	5
Analytical Solution for the Cavitating Flow over a Wedge. I	5
The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations	5
Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models	5
Linear Difference Operators with Coefficients in the Form of Infinite Sequences	5
Boundary and Extremum Problems for the Nonlinear Reaction–Diffusion–Convection Equation under the Dirichlet Condition	5
Method for Modeling of Ionospheric Parameters and Detection of Ionospheric Disturbances	5
Low-Rank Approximation Algorithms for Matrix Completion with Random Sampling	5
Comparative Analysis of Algorithms for Solving Inverse Problems Related to Monochromatic Monitoring the Deposition of Multilayer Optical Coatings	5
Fast Solution Algorithm for a Three-Dimensional Inverse Multifrequency Problem of Scalar Acoustics with Data in a Cylindrical Domain	5
Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain	5
Bicompact Schemes for the Multidimensional Convection–Diffusion Equation	5
Optimization-Based Numerical Analysis of Three-Dimensional Magnetic Cloaking Problems	5
On the Accuracy of Cross and Column Low-Rank Maxvol Approximations in Average	4
A Hybrid Method for the Computation of a Rarefied Gas Jet Efflux through a Very Long Channel into Vacuum	4
Presure Boundary Conditions in the Collocated Finite-Volume Method for the Steady Navier–Stokes Equations	4
Mathematical Modeling of Hazardous Natural Phenomena in a Shallow Basin	4
Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids	4
Simulation of the Laminar–Turbulent Transition by Applying Dissipative Numerical Schemes	4
An Approximate Method for Solving Boundary Value Problems with Moving Boundaries by Reduction to Integro-Differential Equations	4
Extraction of Inductances and Spatial Distributions of Currents in a Model of Superconducting Neuron	4
Biharmonic Obstacle Problem: Guaranteed and Computable Error Bounds for Approximate Solutions	4
On the Uniqueness of Solution to Systems of Linear Algebraic Equations to Which the Inverse Problems of Gravimetry and Magnetometry Are Reduced: A Regional Variant	4
On Regularity of Weak Solutions to a Generalized Voigt Model of Viscoelasticity	4
Chernoff Iterations as an Averaging Method for Random Affine Transformations	4
Geometric Algebra and Quaternion Techniques in Computer Algebra Systems for Describing Rotations in Eucledean Space	4
Nonlocal Conservation Law in a Free Submerged Jet	4
Bifurcations of Self-Oscillatory Solutions to a Nonlinear Parabolic Equation with a Rotating Spatial Argument and Time Delay	4
Automated Method for Cosmic Ray Data Analysis and Detection of Sporadic Effects	4
Inverse Problem for Equations of Complex Heat Transfer with Fresnel Matching Conditions	4
On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition	4
Combined Numerical Schemes	4
Theoretical Analysis and Numerical Implementation of a Stationary Diffusion–Drift Model of Polar Dielectric Charging	4
Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches	4
Multizonal Internal Layers in the Singularly Perturbed Equation with a Discontinuous Right-Hand Side	4
Optimal Control Problems for Complex Heat Transfer Equations with Fresnel Matching Conditions	4

Highly Accurate Methods for Solving One-Dimensional Maxwell Equations in Stratified Media	4
On a Class of Exact Solutions to the Incompressible Navier–Stokes System in a Ball and a Spherical Layer	4
Approximate Solution of Inverse Problems for the Heat Equation with a Singular Perturbation	4
Projector Approach to the Butuzov–Nefedov Algorithm for Asymptotic Solution of a Class of Singularly Perturbed Problems in a Critical Case	4
Characteristic Based Volume Penalization Method for Numerical Simulation of Compressible Flows on Unstructured Meshes	3
Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century	3
Numerical Methods for the Resource Allocation Problem in a Computer Network	3
Generalized Solutions of Quasilinear Elliptic Differential-Difference Equations	3
Sequence Transformations in Proofs of Irrationality of Some Fundamental Constants	3
Learning port-Hamiltonian Systems—Algorithms	3
Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method	3
On Model Two-Dimensional Pressureless Gas Flows: Variational Description and Numerical Algorithm Based on Adhesion Dynamics	3
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model	3
Modeling Epidemics: Neural Network Based on Data and SIR-Model	3
Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems	3
The Gradient Projection Method with Armijo’s Step Size on Manifolds	3
Integral Representations of Vector Functions Based on the Parametrix of First-Order Elliptic Systems	3
Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation	3
Comparison of Dissipation and Dispersion Properties of Compact Difference Schemes for the Numerical Solution of the Advection Equation	3
Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems	3
Numerical Simulation of Two-Dimensional Gas Flows through Granular Phase Change Materials	3
Conformal Mapping of an L-Shaped Domain in Analytical Form	3
Method of Continual Addition Theorems and Integral Relations between the Coulomb Functions and the Appell Function F1	3
New Boundary Conditions for One-Dimensional Network Models of Hemodynamics	3
Testing Bicompact Schemes for the One-Dimensional Maxwell Equations in Stratified Media	3
Overview of Visualization Methods for Artificial Neural Networks	3
Extended Launch Pad Method for the Pareto Frontier Approximation in Multiextremal Multiobjective Optimization Problems	3
TT Ranks of Approximate Tensorizations of Some Smooth Functions	3
Blow-up of Weak Solutions of the Cauchy Problem for (3+1)-Dimensional Equation of Plasma Drift Waves	3
Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane	3
Solution of the Boltzmann Equation in the Continuum Flow Regime	3
Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid	3
A Survey of Shanks’ Extrapolation Methods and Their Applications	3
Analysis of the Boundary Conditions for Rarefied Molecular Gases with Partial Accommodation Coefficients and Energy Exchange	3
Nonlinear Finite Volume Method for the Interface Advection-Compression Problem on Unstructured Adaptive Meshes	3
Spectral Analysis of Small Perturbations of Geostrophic Currents with a Parabolic Vertical Profile of Velocity as Applied to the Ocean	3
Unreliability of Available Pseudorandom Number Generators	3
Decomposition of the Solution to a Two-Dimensional Singularly Perturbed Convection–Diffusion Equation with Variable Coefficients in a Square and Estimates in Hölder Norms	3
Numerical Solution of a Stationary Filtration Problem of Viscous Fluid in a Piecewise Homogeneous Porous Medium by Applying the Boundary Integral Equation Method	3
Difference Schemes Based on the Laguerre Transform	3
Inductive Matrix Completion with Feature Selection	3
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model	3
On the Best Approximation Algorithm by Low-Rank Matrices in Chebyshev’s Norm	3
Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator Differential Transport Equation in Several Space Variables	3
Reflection of Detonation Wave from the Symmetry Plane within a Cylindrical Target for Controlled Thermonuclear Fusion	3
Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic Media	3
Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone	3
Tradeoff Relation between Mutual Information and Error Probability in Data Classification Problem	3
EBR Schemes with Curvilinear Reconstructions of Variables in the Near-Wall Region	3
Non-Polynomial Interpolation of Functions with Large Gradients and Its Application	3
Monotone Schemes for Convection–Diffusion Problems with Convective Transport in Different Forms	2
Investigation and Application of the Domain Decomposition Method for Simulating Fuel Elements	2
Boundary and Contact Conditions of Higher Order of Accuracy for Grid-Characteristic Schemes in Acoustic Problems	2
A Note on a Posteriori Error Bounds for Numerical Solutions of Elliptic Equations with a Piecewise Constant Reaction Coefficient Having Large Jumps	2
Analytical Study of Cubature Formulas on a Sphere in Computer Algebra Systems	2
On Using the Shell Theory in Stability Analysis of Fluid Flows in Compliant Pipes	2
Formulas for Analytic Continuation of Horn Functions of Two Variables	2
Crystallographic Properties of Local Groups of a Delone Set in a Euclidean Plane	2
Analytical and Numerical Solutions of One-Dimensional Cold Plasma Equations	2
Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization	2
Regularization of the Classical Optimality Conditions in Optimal Control Problems for Linear Distributed Systems of Volterra Type	2
Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail	2
On Interpolation of Some Recurrent Sequences	2
On Ranks of Matrices over Noncommutative Domains	2
Constructing Estimates of Reachability Sets in Crowd Flows Modeling	2
Approximation of Differential Operators with Boundary Conditions	2
On a Particular Solution of the σ-Commutation Problem ($$\sigma \ne 0, \pm 1$$) for Toeplitz and Hankel Matrices	2
Improved Quadrature Formula for a Single-Layer Potential	2
Stationary and Oscillating Solutions of the Ionization Equations	2
Collocation-Variational Approaches to the Solution to Volterra Integral Equations of the First Kind	2
Numerical Study of Propagation of Nonlinear Coupled Surface and Leaky Electromagnetic Waves in a Circular Cylindrical Metal–Dielectric Waveguide	2
A Posteriori Identities for Measures of Deviation from Exact Solutions of Nonlinear Boundary Value Problems	2
Determination of the Attenuation Coefficient for the Nonstationary Radiative Transfer Equation	2
Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method	2
Quantum Markovian Dynamics after the Bath Correlation Time	2
On a Nonlinear Problem for a System of Integro-Differential Equations of Radiative Transfer Theory	2
On One Inverse Problem for the Kolmogorov–Fokker–Planck Equation	2
Simulation of a Cylindrical Slow Extraordinary Wave in Cold Magnetoactive Plasma	2
Numerical Simulation of Haline–Convective Flows with Viscosity Contrast in a Porous Medium	2
Statement of the Beamforming Problem and a Method of Its Solution for the Localization of an Acoustic Source Based on Computational Experiment Data	2

Generalization of the Subset Sum Problem and Cubic Forms	2
Numerical Solution of Two and Three-Dimensional Fractional Heat Conduction Equations via Bernstein Polynomials	2
Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles	2
Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations	2
Inverse Problems for the Diffusion–Drift Model of Charging of an Inhomogeneous Polar Dielectric	2
Data Parallelization Algorithms for the Direct Simulation Monte Carlo Method for Rarefied Gas Flows on the Basis of OpenMP Technology	2
Computation of Asymptotic Spectral Distributions for Sequences of Grid Operators	2
Hyperbolic Singular Value Decomposition in the Study of Yang–Mills and Yang–Mills–Proca Equations	2
Highly Smooth Zeroth-Order Methods for Solving Optimization Problems under the PL Condition	2
On the Number of Solutions to Linear Diophantine Equation and Frobenius Problem	2
Singular Nonlinear Problems for Self-Similar Solutions of Boundary-Layer Equations with Zero Pressure Gradient: Analysis and Numerical Solution	2
Gradient Projection Method for a Class of Optimization Problems with a Constraint in the Form of a Subset of Points of a Smooth Surface	2
Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulas	2
Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations	2
Biharmonic Problem with Dirichlet and Steklov-Type Boundary Conditions in Weighted Spaces	2
Anomalies of Acoustic Wave Propagation in Two Semi-Infinite Cylinders Connected by a Flattened Ligament	2
On Changing Between Bases of the Space of Representations of Group SO(2,2)	2
Numerical Investigation of the Properties of Remainder in Gauss’s Circle Problem	2
A Unified Analysis of Variational Inequality Methods: Variance Reduction, Sampling, Quantization, and Coordinate Descent	2
Uniqueness and Existence Theorems for the Problems of Electromagnetic-Wave Scattering by Three-Dimensional Anisotropic Bodies in Differential and Integral Formulations	2
Analysis of an Optimization Method for Solving the Problem of Complex Heat Transfer with Cauchy Boundary Conditions	2
An Approach to the Implementation of the Multigrid Method with Full Approximation for CFD Problems	2
New Applications of Matrix Methods	2
Smooth Solution of the Second Initial-Boundary Value Problem for a Model Parabolic System in a Semibounded Nonsmooth Domain on the Plane	2
Numerical Study of a Singularly Perturbed Two Parameter Problems on a Modified Bakhvalov Mesh	2
Rapidly Convergent Series for Solving the Electrovortex Flow Problem in a Hemispherical Vessel	2
On the Approximation of a Nearly Dynamically Symmetric Rigid Body by Two Balls	2
Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition	2
Real Normal Form of a Binary Polynomial at a Second-Order Critical Point	2
Spectral Analysis of Optimal Disturbances of Stratified Turbulent Couette Flow	2
Elaboration of the Fast Boundary Element Method for 3D Simulation of the Dynamics of a Bubble Cluster with Solid Particles in an Acoustic Field	2
Formulas for Computing the Lauricella Function in the Case of Crowding of Variables	2
Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator Differential Transport Equation with Weak Diffusion	2
New Approach to the Iterative Method for Numerical Solution of a Convolution Type Equation Determined for a Certain Class of Problems	2
Invariant Curves of Some Discrete Dynamical Systems	2
Computation of Seismic Resistance of an Ice Island by the Grid-Characteristic Method on Combined Grids	2
Organization of Numerical Experiments with an Atmospheric General Circulation Model and an Ocean Global Model	2
Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows	2
Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods	2
A Difference Scheme of the Decomposition Method for an Initial Boundary Value Problem for the Singularly Perturbed Transport Equation	2
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer	2
Multimethod Algorithms for Solving Complicated Optimal Control Problems	2
Review of the Theory of Stable Matchings and Contract Systems	2
On Cauchy Problems for Nonlinear Sobolev Equations in Ferroelectricity Theory	2
Well-Posedness and Asymptotic Behavior for the Dissipative p-Biharmonic Wave Equation with Logarithmic Nonlinearity and Damping Terms	2
Inhomogeneous Problem for Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions	2
New Algorithms for Solving Nonlinear Eigenvalue Problems	2
Functional Summation of Series	2