Computational Mathematics and Mathematical Physics

Article	Citations
Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications	27
Two Novel Bessel Matrix Techniques to Solve the Squeezing Flow Problem between Infinite Parallel Plates	15
Mathematical Modeling of the Wuhan COVID-2019 Epidemic and Inverse Problems	14
Boundary Conditions for Modeling the Impact of Wheels on Railway Track	13
Mathematical Modeling of Household Economy in Russia	13
On a Periodic Inner Layer in the Reaction–Diffusion Problem with a Modular Cubic Source	11
Problem of Aggregating of an Input–Output Model and Duality	10
Accelerated Meta-Algorithm for Convex Optimization Problems	10
Reduced SIR Model of COVID-19 Pandemic	9
Identification Problem for Telegraph-Parabolic Equations	9
Accelerated Methods for Saddle-Point Problem	9
An Algorithm for Recovering the Characteristics of the Initial State of Supernova	8
Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity	8
Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function	8
Semi-Classical Models of Quantum Nanoplasmonics Based on the Discrete Source Method (Review)	8
Asymptotic Solution of Coefficient Inverse Problems for Burgers-Type Equations	8
Asymptotics of the Riemann–Hilbert Problem for a Magnetic Reconnection Model in Plasma	8
Choice of Finite-Difference Schemes in Solving Coefficient Inverse Problems	8
Mathematical Modeling of Spot Dynamics in a Stratified Medium	8
Numerical Solution of an Inverse Multifrequency Problem in Scalar Acoustics	7
Numerical Simulation of Gas Mixtures Based on the Quasi-Gasdynamic Approach as Applied to the Interaction of a Shock Wave with a Gas Bubble	7
Nested Implicit Runge–Kutta Pairs of Gauss and Lobatto Types with Local and Global Error Controls for Stiff Ordinary Differential Equations	7
On the Accuracy of Bicompact Schemes as Applied to Computation of Unsteady Shock Waves	7
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space	7
On Lavrent’ev-Type Integral Equations in Coefficient Inverse Problems for Wave Equations	7

Derivation of the Equations of Electrodynamics and Gravity from the Principle of Least Action	7
Analysis of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation and Discontinuous Structures in Their Solutions	6
Identification of the Thermal Conductivity Coefficient in the Three-Dimensional Case by Solving a Corresponding Optimization Problem	6
Stable Method for Optical Monitoring the Deposition of Multilayer Optical Coatings	6
Primal–Dual Newton Method with Steepest Descent for the Linear Semidefinite Programming Problem: Newton’s System of Equations	6
Stochastic Processes on the Group of Orthogonal Matrices and Evolution Equations Describing Them	6
Reconstruction of Magnetic Susceptibility Using Full Magnetic Gradient Data	6
Analytical Solution for the Cavitating Flow over a Wedge. II	6
Existence and Stability of the Solution to a System of Two Nonlinear Diffusion Equations in a Medium with Discontinuous Characteristics	6
Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices	6
Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves	6
Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay	6
Phaseless Inverse Problems for Schrödinger, Helmholtz, and Maxwell Equations	6
Optimization-Based Numerical Analysis of Three-Dimensional Magnetic Cloaking Problems	5
Method for Modeling of Ionospheric Parameters and Detection of Ionospheric Disturbances	5
Gradient-free Federated Learning Methods with l1 and l2-randomization for Non-smooth Convex Stochastic Optimization Problems	5
Corporate Dynamics in Chains of Coupled Logistic Equations with Delay	5
Sensitivity of the Euler–Poinsot Tensor Values to the Choice of the Body Surface Triangulation Mesh	5
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	5
On Numerical Solution of One Class of Integro-Differential Equations in a Special Case	5
Optical Solitary Waves and Soliton Solutions of the (3+1)-Dimensional Generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony Equation	5
Low-Rank Approximation Algorithms for Matrix Completion with Random Sampling	5
Determination of the Thermal Conductivity from the Heat Flux on the Surface of a Three-Dimensional Body	5
Analytical Solution for the Cavitating Flow over a Wedge. I	5
Truncated Series and Formal Exponential-Logarithmic Solutions of Linear Ordinary Differential Equations	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
Adaptive Interpolation Algorithm Using TT-Decomposition for Modeling Dynamical Systems with Interval Parameters	5
Morphological and Other Research Techniques for Almost Cyclic Time Series as Applied to СО2 Concentration Series	5
Comparative Analysis of Algorithms for Solving Inverse Problems Related to Monochromatic Monitoring the Deposition of Multilayer Optical Coatings	5
Gradient Projection Method on Matrix Manifolds	5
Fast Solution Algorithm for a Three-Dimensional Inverse Multifrequency Problem of Scalar Acoustics with Data in a Cylindrical Domain	5
Best Recovery of the Solution of the Dirichlet Problem in a Half-Space from Inaccurate Data	5
On the Particle Method for Electrons in an Inhomogeneous Scattering Medium	4
Efficient Asymptotics in Problems on the Propagation of Waves Generated by Localized Sources in Linear Multidimensional Inhomogeneous and Dispersive Media	4
Approximate Solution of Inverse Problems for the Heat Equation with a Singular Perturbation	4
Bicompact Schemes for the Multidimensional Convection–Diffusion Equation	4
On Regularity of Weak Solutions to a Generalized Voigt Model of Viscoelasticity	4
A Hybrid Method for the Computation of a Rarefied Gas Jet Efflux through a Very Long Channel into Vacuum	4
Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions	4
Mathematical Modeling of Hazardous Natural Phenomena in a Shallow Basin	4
Simulation of the Laminar–Turbulent Transition by Applying Dissipative Numerical Schemes	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
Variational Method for Computing Ray Trajectories and Fronts of Tsunami Waves Generated by a Localized Source	4
Spectral Estimates for the Fourth-Order Operator with Matrix Coefficients	4
On the Accuracy of Cross and Column Low-Rank Maxvol Approximations in Average	4
Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches	4
Presure Boundary Conditions in the Collocated Finite-Volume Method for the Steady Navier–Stokes Equations	4
Nonlocal Conservation Law in a Free Submerged Jet	4

Dirichlet Problem for a Generalized Cauchy–Riemann Equation with a Supersingular Point on a Half-Plane	4
Numerical Algorithms for Systems with Extramassive Parallelism	4
Projector Approach to the Butuzov–Nefedov Algorithm for Asymptotic Solution of a Class of Singularly Perturbed Problems in a Critical Case	4
Combined Numerical Schemes	4
Boundary and Extremum Problems for the Nonlinear Reaction–Diffusion–Convection Equation under the Dirichlet Condition	4
Direct and Converse Theorems for Iterative Methods of Solving Irregular Operator Equations and Finite Difference Methods for Solving Ill-Posed Cauchy Problems	4
Multicriteria Competitive Games as Models in Operations Research	4
Numerical-Statistical and Analytical Study of Asymptotics for the Average Multiplication Particle Flow in a Random Medium	4
Tradeoff Relation between Mutual Information and Error Probability in Data Classification Problem	3
Numerical Modeling of Passive Scalar Transport in Shallow Water Based on the Quasi-Gasdynamic Approach	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
Iterative Preconditioned Methods in Krylov Spaces: Trends of the 21st Century	3
Well-Posedness and Spectral Analysis of Integrodifferential Equations of Hereditary Mechanics	3
Numerical Solution of Linear Differential Equations with Nonlocal Nonlinear Conditions	3
Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models	3
Optimal Control Problems for Complex Heat Transfer Equations with Fresnel Matching Conditions	3
New Boundary Conditions for One-Dimensional Network Models of Hemodynamics	3
Highly Accurate Methods for Solving One-Dimensional Maxwell Equations in Stratified Media	3
Extended Launch Pad Method for the Pareto Frontier Approximation in Multiextremal Multiobjective Optimization Problems	3
On Model Two-Dimensional Pressureless Gas Flows: Variational Description and Numerical Algorithm Based on Adhesion Dynamics	3
On the Best Approximation Algorithm by Low-Rank Matrices in Chebyshev’s Norm	3
Identity for Deviations from the Exact Solution of the Problem $$\Lambda {\text{*}}\mathcal{A}\Lambda u + \ell = 0$$ and Its Implications	3
Inverse Problem for Equations of Complex Heat Transfer with Fresnel Matching Conditions	3
Chernoff Iterations as an Averaging Method for Random Affine Transformations	3
Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation	3
Inverse Problems of Natural Science	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
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
EBR Schemes with Curvilinear Reconstructions of Variables in the Near-Wall Region	3
Difference Schemes Based on the Laguerre Transform	3
Bifurcations of Self-Oscillatory Solutions to a Nonlinear Parabolic Equation with a Rotating Spatial Argument and Time Delay	3
Inductive Matrix Completion with Feature Selection	3
Overview of Visualization Methods for Artificial Neural Networks	3
TT Ranks of Approximate Tensorizations of Some Smooth Functions	3
Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method	3
Integral Representations of Vector Functions Based on the Parametrix of First-Order Elliptic Systems	3
Analysis of the Boundary Conditions for Rarefied Molecular Gases with Partial Accommodation Coefficients and Energy Exchange	3
Risk-Free Investments and Their Comparison with Simple Risky Strategies in Pension Insurance Model: Solving Singular Problems for Integro-Differential Equations	3
Construction and Analysis of Explicit Adaptive One-Step Methods for Solving Stiff Problems	3
Theoretical Analysis and Numerical Implementation of a Stationary Diffusion–Drift Model of Polar Dielectric Charging	3
Unreliability of Available Pseudorandom Number Generators	3
Application of Neural Networks in Nonlinear Inverse Problems of Geophysics	3
Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone	3
Generalized Solutions of Quasilinear Elliptic Differential-Difference Equations	3
The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations	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
Inverse Problem of Electrodynamics for Anisotropic Medium: Linear Approximation	3
An Approximate Method for Solving Boundary Value Problems with Moving Boundaries by Reduction to Integro-Differential Equations	3
Dynamics of a Set of Quantum States Generated by a Nonlinear Liouville–von Neumann Equation	3
Solution of the Boltzmann Equation in the Continuum Flow Regime	3
Blow-up of Weak Solutions of the Cauchy Problem for (3+1)-Dimensional Equation of Plasma Drift Waves	3
Analytical-Numerical Study of Finite-Time Blow-up of the Solution to the Initial-Boundary Value Problem for the Nonlinear Klein–Gordon Equation	2
Non-Polynomial Interpolation of Functions with Large Gradients and Its Application	2
Analysis of the Quasi-Transfer Approximation in Problems with Analytical Solution	2
Uniqueness and Existence Theorems for the Problems of Electromagnetic-Wave Scattering by Three-Dimensional Anisotropic Bodies in Differential and Integral Formulations	2
A Note on a Posteriori Error Bounds for Numerical Solutions of Elliptic Equations with a Piecewise Constant Reaction Coefficient Having Large Jumps	2
New Algorithms for Solving Nonlinear Eigenvalue Problems	2
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	2
Equations Describing Waves in Tubes with Elastic Walls and Numerical Methods with Low Scheme Dissipation	2
On a Class of Exact Solutions to the Incompressible Navier–Stokes System in a Ball and a Spherical Layer	2
Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic Media	2
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	2
On Zeros of the Modified Bessel Function of the Second Kind	2
Analysis of an Optimization Method for Solving the Problem of Complex Heat Transfer with Cauchy Boundary Conditions	2
On Using the Shell Theory in Stability Analysis of Fluid Flows in Compliant Pipes	2
Reflection of Detonation Wave from the Symmetry Plane within a Cylindrical Target for Controlled Thermonuclear Fusion	2
Linear Difference Operators with Coefficients in the Form of Infinite Sequences	2
Numerical Methods for the Resource Allocation Problem in a Computer Network	2
Simulation of the Interaction of Oppositely Directed Particle Flows	2
Influence of Monotonization on the Spectral Resolution of Bicompact Schemes in the Inviscid Taylor–Green Vortex Problem	2
Sequence Transformations in Proofs of Irrationality of Some Fundamental Constants	2
Singular Nonlinear Problems for Self-Similar Solutions of Boundary-Layer Equations with Zero Pressure Gradient: Analysis and Numerical Solution	2
Testing Bicompact Schemes for the One-Dimensional Maxwell Equations in Stratified Media	2
Crystallographic Properties of Local Groups of a Delone Set in a Euclidean Plane	2
Anomalies of Acoustic Wave Propagation in Two Semi-Infinite Cylinders Connected by a Flattened Ligament	2
Regularization of the Classical Optimality Conditions in Optimal Control Problems for Linear Distributed Systems of Volterra Type	2
Numerical Study of a Singularly Perturbed Two Parameter Problems on a Modified Bakhvalov Mesh	2
A Survey of Shanks’ Extrapolation Methods and Their Applications	2

Analytical and Numerical Solutions of One-Dimensional Cold Plasma Equations	2
Quantum Markovian Dynamics after the Bath Correlation Time	2
Monotone Schemes for Convection–Diffusion Problems with Convective Transport in Different Forms	2
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model	2
Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator Differential Transport Equation in Several Space Variables	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
Investigation and Application of the Domain Decomposition Method for Simulating Fuel Elements	2
Characteristic Based Volume Penalization Method for Numerical Simulation of Compressible Flows on Unstructured Meshes	2
Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane	2
Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems	2
Multizonal Internal Layers in the Singularly Perturbed Equation with a Discontinuous Right-Hand Side	2
A Heuristic Adaptive Fast Gradient Method in Stochastic Optimization Problems	2
New Applications of Matrix Methods	2
Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows	2
Decay of Nonnegative Solutions of Singular Parabolic Equations with KPZ-Nonlinearities	2
Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulas	2
Stationary States in a Model of Position Selection by Individuals	2
Organization of Numerical Experiments with an Atmospheric General Circulation Model and an Ocean Global Model	2
Multimethod Algorithms for Solving Complicated Optimal Control Problems	2
Nonlinear Finite Volume Method for the Interface Advection-Compression Problem on Unstructured Adaptive Meshes	2
Automated Method for Cosmic Ray Data Analysis and Detection of Sporadic Effects	2
On Interpolation of Some Recurrent Sequences	2
Smooth Solution of the Second Initial-Boundary Value Problem for a Model Parabolic System in a Semibounded Nonsmooth Domain on the Plane	2
Determination of the Attenuation Coefficient for the Nonstationary Radiative Transfer Equation	2
On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition	2
On One Inverse Problem for the Kolmogorov–Fokker–Planck Equation	2
Spectral Analysis of Optimal Disturbances of Stratified Turbulent Couette Flow	2
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model	2
Finding Steady Poiseuille-Type Flows for Incompressible Polymeric Fluids by the Relaxation Method	2
Inviscid Instability of an Incompressible Boundary Layer on a Compliant Surface	2
Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain	2
Inhomogeneous Problem for Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions	2
On the Approximation of a Nearly Dynamically Symmetric Rigid Body by Two Balls	2
New Approach to the Iterative Method for Numerical Solution of a Convolution Type Equation Determined for a Certain Class of Problems	2
On a Nonlinear Problem for a System of Integro-Differential Equations of Radiative Transfer Theory	2
Spectral Analysis of Small Perturbations of Geostrophic Currents with a Parabolic Vertical Profile of Velocity as Applied to the Ocean	2
Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods	2
Simulation of a Cylindrical Slow Extraordinary Wave in Cold Magnetoactive Plasma	2
Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids	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
Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid	2
Formulas for Computing the Lauricella Function in the Case of Crowding of Variables	2
Collocation-Variational Approaches to the Solution to Volterra Integral Equations of the First Kind	2
Computation of Asymptotic Spectral Distributions for Sequences of Grid Operators	2