Computational Mathematics and Mathematical Physics

Article	Citations
Asymptotic Expansion for the Solution of an Optimal Boundary Control Problem in a Doubly Connected Domain with Different Control Intensity on Boundary Segments	39
Stability Analysis of Nonclassical Difference Schemes for Nonlinear Volterra Integral Equations of the Second Kind	17
On Favard Local Parabolic Interpolating Splines with Additional Knots	16
The Singularity Set of Optimal Transportation Maps	14
On Normal Modes of a Waveguide	10
Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay	10
Hodograph Method for Solving the Overturned Shallow Water Problem	10
Approximate Solution of a Singular Integral Equation of the First Kind Using Chebyshev Polynomials with Zero Values at Both Endpoints of the Integration Interval	8
Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension	8
Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models	7
Approximate Solution of Nonlinear Differential Equations with the Help of Rational Spline Functions	7
The Finite-Time Expected Deviation Exponent for Continuous Dynamical Systems	7
Three-Level Schemes with Double Change in the Time Step	7
Solution of the Two-Dimensional Inverse Problem of Quasistatic Elastography with the Help of the Small Parameter Method	7
Integral Identity and Estimate of the Deviation of Approximate Solutions of a Biharmonic Obstacle Problem	7
Recognition of a Quasi-Periodic Sequence Containing an Unknown Number of Nonlinearly Extended Reference Subsequences	6
Memory Response on Thermoelastic Behavior with Temperature Dependent Material Moduli under Mechanical Strip Load	6
Evolution of the Shape of a Gas Cloud during Pulsed Laser Evaporation into Vacuum: Direct Simulation Monte Carlo and the Solution of a Model Equation	6
Nonclassical Heat Transfer in a Microchannel and a Problem for Lattice Boltzmann Equations	6
Counterexamples to the Assumption on the Possibility of Prolongation of Truncated Solutions of a Truncated LODE	6
Justification of the Collocation Method for an Integral Equation of the Exterior Dirichlet Problem for the Laplace Equation	6
On the Simulation of a Rarefied Plasma Jet on the Basis of Kinetic Equations	6
Generalization of the Penalized Wall Function Method for Modeling of Turbulent Flows with Adverse Pressure Gradient	6
A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case	6
On Stability of an Approximate Solution of the Cauchy Problem for Some First-Order Integrodifferential Equations	6

Stability Analysis of Polymerization Fronts	6
Dynamic Discrepancy Method in the Problem of Reconstructing the Input of a System with Time Delay Control	5
State Space Approach to Characterize Rayleigh Waves in Nonlocal Thermoelastic Medium with Double Porosity under Three-Phase-Lag Model	5
Analysis of the Boundary Conditions for Rarefied Molecular Gases with Partial Accommodation Coefficients and Energy Exchange	5
Application of the Explicitly Iterative Scheme to Simulating Subsonic Reacting Gas Flows	5
Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System	5
Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation	5
Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations	5
Lower Bounds for Column Matrix Approximations	5
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	5
Minimax Problem of Suppressing a Communication Network	5
Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations	5
A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations with Two Integral Boundary Conditions	5
Analytical Investigation of the Chaotic Dynamics of a Two-Dimensional Lotka–Volterra System with a Seasonality Factor	5
Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach	5
Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics	5
Modeling the Motion of an Elongated Contour under Free Surface of a Heavy Fluid under Large Froude Numbers	5
Scheme for Calculating Unsteady Flows of Heat-Conducting Gas in the Three-Temperature Approximation	5
A Fictitious Time Lie-Group Integrator for the Brinkman–Forchheimer Momentum Equation Modeling Flow of Fully Developed Forced Convection	5
Synthesis of an Optimal Stable Affine System	5
Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold	5
On Spectral Portraits of Incidence Matrices of Nearest Neighbor Graphs	5
Multiplicative Control Problem for a Nonlinear Reaction–Diffusion Model	5
Exact Solutions of a Nonlinear Equation Describing Blow-Up Instability in Self-Oscillatory Systems	5
Improved Quadrature Formula for a Single-Layer Potential	4
Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media	4
Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class L ∞	4
Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method	4
Subsonic Rarefied Gas Flow over a Rectangular Cylinder	4
Anisotropic Adaptation of Moving Unstructured Mesh to Bodies of Complex Shapes Described by an Interpolation Octree	4
On the Approximation of the First Eigenvalue of Some Boundary Value Problems	4
Efficient Method for Solving the Boltzmann Equation on a Uniform Mesh	4
Fast Expansion Method for Evaluating Definite Integrals with a Variable Upper Limit and a Composite or Implicitly Defined Integrand	4
Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid	4
Stability Indicators of Nonnegative Matrices: Parametric and Sparse Cases	4
Analytical Solution for the Cavitating Flow over a Wedge. II	4
On the Radial Basis Function Interpolation I: Spectral Analysis of the Interpolation Matrix and the Related Operators	4
Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas	4
Numerical Simulation of Convective Flows in a Thin Liquid Layer at Large Reynolds Numbers	4
Symmetries and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters	4
Difference Operator Approximations on Nonstandard Rectangular Grid	4
Existence of Bounded Soliton Solutions in the Problem of Longitudinal Oscillations of an Elastic Infinite Rod in a Field with a Nonlinear Potential of General Form	4
Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods	4
On the Uniform Convergence of Approximations to the Tangential and Normal Derivatives of the Single-Layer Potential Near the Boundary of a Two-Dimensional Domain	4
Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone	4
Functionals of Eigenvalues on the Manifold of Potentials	4
On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane	4
The Gradient Projection Method with Armijo’s Step Size on Manifolds	3
Estimates of the p-Norms of Solutions and Inverse Matrices of Systems of Linear Equations with a Circulant Matrix	3
To the Study of Various Representations of Solutions of Quasi-Differential Equations in the Form of Sums of Series and Some of Their Applications	3

Formulas for Analytic Continuation of Horn Functions of Two Variables	3
Data Parallelization Algorithms for the Direct Simulation Monte Carlo Method for Rarefied Gas Flows on the Basis of OpenMP Technology	3
Numerical Study of Shock Wave Processes in Materials under the Influence of Ultrashort Laser Pulses Using the Baer–Nunziato Model	3
Reflection of Detonation Wave from the Symmetry Plane within a Cylindrical Target for Controlled Thermonuclear Fusion	3
Integral Representations for Second-Order Elliptic Systems in the Plane	3
Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity	3
Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization	3
Synthesis of an Optimal System with Stable Sliding Modes	3
Constructing Estimates of Reachability Sets in Crowd Flows Modeling	3
Asymptotic Analysis of Eigenvalues for Concentrated Masses Approaching One Another	3
Another Approach to Build Lyapunov Functions for the First Order Methods in the Quadratic Case	3
Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model	3
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer	3
High-Order Energy-Preserving Compact Difference Schemes for the Improved Boussinesq Equation	3
Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles	3
Exponentially Convergent Numerical Scheme for the Stream Function of Potential Flow over Axisymmetric Bodies	3
Algorithm for Mesh Adaptation to a Flow Field with a Bow Shock Wave	3
Uniqueness of a Solution to the Lavrent’ev Integral Equation in n-Dimensional Space	3
Elaboration of the Fast Boundary Element Method for 3D Simulation of the Dynamics of a Bubble Cluster with Solid Particles in an Acoustic Field	3
Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain	3
Modeling Epidemics: Neural Network Based on Data and SIR-Model	3
Inverse Problems for the Helmholtz Equation on Finding the Right-Hand Side with Nonlocal Integral Observation	3
Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane	3
Solving Some Inverse Problems of Gravimetry and Magnetometry Using an Algorithm That Improves Matrix Conditioning	3
Triple Series Evaluated in π and $$\ln 2$$ as Well as Catalan’s Constant G	3
Non-Quadratic Proxy Functions in Mirror Descent Method Applied to Designing of Robust Controllers for Nonlinear Dynamic Systems with Uncertainty	3
Investigation of Stability of Supersonic Solitary Waves in an Elastic Electrically Conductive Micropolar Material	3
Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition	3
Optimization of a Numerical-Statistical Algorithm for Estimating the Mean Particle Flow in a Bounded Random Medium with Multiplication	3
Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations	3
Calculating a Perturbation of a Plasma Layer by an Electric Field	3
Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares	3
New Approach to the Iterative Method for Numerical Solution of a Convolution Type Equation Determined for a Certain Class of Problems	3
The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations	3
Singular Nonlinear Problems for Self-Similar Solutions of Boundary-Layer Equations with Zero Pressure Gradient: Analysis and Numerical Solution	3
Approximation of the Capacitated Vehicle Routing Problem with a Limited Number of Routes in Metric Spaces of Fixed Doubling Dimension	3
On the Simultaneous Determination of the Distribution Density of Sources Equivalent in the External Field and the Spectrum of the Useful Signal	3
Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball	3
Sufficient Conditions for Solvability of One Class of Neumann-Type Problems for the Polyharmonic Equation	2
Local Solvability, Blow-Up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: III. Cauchy Problems	2
Multizonal Boundary and Internal Layers in the Singularly Perturbed Problems for a Stationary Equation of Reaction–Advection–Diffusion Type with Weak and Discontinuous Nonlinearity	2
Transfinite Barycentric Interpolation via Dirichlet Energy Minimization for Conical Surfaces	2
On the Best Approximation Algorithm by Low-Rank Matrices in Chebyshev’s Norm	2
On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition	2
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space	2
Substantiation of a Quadrature-Difference Method for Solving Integro-Differential Equations with Derivatives of Variable Order	2
A KP 1 Scheme for Acceleration of Inner Iterations for the Transport Equation in Two-Dimensional Geometries Consistent with Nodal Schemes	2
Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer	2
Order-Optimal Spline Methods for Solving Singular Integro-Differential Equations	2
Simulation of Domain Walls: Simple Waves in the Magnetodynamics Equation	2
Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities	2
Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Cubic Nonlinearities	2
On the Minimality of Squared Error of Solutions to Systems of Equations Transformed to the Best Parameter under Small Homogeneous Perturbations	2
A Super-Fast Algorithm for Solving the Direct Scattering Problem for the Manakov System	2
Quantum Markovian Dynamics after the Bath Correlation Time	2
Analyticity and Pseudo-Analyticity in the Small Parameter Method	2
Boundary Layer Mesh Generation with Fast Collision Detection	2
Dynamic Bayesian Networks as a Testing Tool for Fuzzing Web Applications	2
Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators	2
Three-Dimensional Numerical Transfer Model Using a Monotonized Z-Scheme	2
Blow-up of Weak Solutions of the Cauchy Problem for (3+1)-Dimensional Equation of Plasma Drift Waves	2
Discrete-Analytical Difference Scheme for Solving the Nonstationary Particle Transport Equation by the Splitting Method	2
On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions	2
An Approach to the Implementation of the Multigrid Method with Full Approximation for CFD Problems	2
Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions	2
Optimal Boundary Control of a Distributed Heterogeneous Vibrating System with Given States at Intermediate Times	2
A Shannon Wavelet-Based Approximation Scheme for Thomas–Fermi Models of Confined Atoms and Ions	2
FAD Technique and Differentiation of a Composite Function	2
Determination of the Attenuation Coefficient for the Nonstationary Radiative Transfer Equation	2
Algorithm for Separating Matrix Spectrum by an Angle	2
Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure	2
Derivation of the Equations of Electrodynamics and Gravity from the Principle of Least Action	2
Third- and Fourth-Order ESDIRK Methods for Stiff and Differential-Algebraic Problems	2
An exact Analysis of Melting Phenomena Based on Non-Classical Heat Equation with Moving Boundary Problem: Application of Melting-Freezing	2
A Version of Closing the System of Moment Equations of an Arbitrary Order	2
A Method of Boundary Equations for Nonlinear Poisson–Boltzmann Equation Arising in Biomolecular Systems	2
On a Method for Solving a Mixed Boundary Value Problem for a Parabolic Equation Using Modified Sinc-Approximation Operators	2
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model	2
On the Reconstruction of an Input Disturbance in a Reaction–Diffusion System	2
Monotone Schemes of Conditional Approximation and Arbitrary Order of Accuracy for the Transport Equation	2

Analytical Inversion of the Operator Matrix for the Problem of Diffraction by a Cylindrical Segment in Sobolev Spaces	2
Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential	2
Mixed Virtual Element Approximation of a Fourth Order Optimal Control Problem	2
On the Upper Bound of the Complexity of Sorting	2
Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method	2
Third-Order Accurate Conservative Method on a Unstructured Mesh for Gasdynamic Simulations	2
Neural Network with Smooth Activation Functions and without Bottlenecks Is Almost Surely a Morse Function	2
New Algorithms for Solving Nonlinear Eigenvalue Problems	2
Extraction of Inductances and Spatial Distributions of Currents in a Model of Superconducting Neuron	2
Conformal Mapping of a Z-Shaped Domain	2
A Simple Criterion for Estimating the Grid Level of Detail for RANS Methods	2
Boundary Element Method for Solving an Inhomogeneous Biharmonic Equation with a Right-Hand Side Containing the Unknown Function and Its Derivatives	2
Multipole Representation of the Gravitational Field of the Asteroid (16) Psyche	2
Study of Secular Perturbations in the Restricted Three-Body Problem of Variable Masses Using Computer Algebra	2
Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium	2
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model	2
Controlling Chaos in 3D Porous Media in the Presence of Orientation Effect	2
Accuracy Estimation for a Class of Iteratively Regularized Gauss–Newton Methods with a posteriori Stopping Rule	2
Fast Calculation of Integral Convolution Operators in Problems of Evaluating Options in Lévy’s Models	2
Numerical Simulation of Two-Phase Porous Medium Flow with an Active Additive	2
Inverse Problem for Equations of Complex Heat Transfer with Fresnel Matching Conditions	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
Non-Simplicial Delaunay Meshing via Approximation by Radical Partitions	2
Extended Launch Pad Method for the Pareto Frontier Approximation in Multiextremal Multiobjective Optimization Problems	2
New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side	2
On One Inverse Problem for the Kolmogorov–Fokker–Planck Equation	2
Coordinated Control of Multiple Surface Unmanned Vehicle Clusters under the Influence of Wind Field and Tides	2
Supplement to the Classical Result of A.N. Tikhonov on Electromagnetic Sensing for a Medium with Thin Layers	2
Reduced-Order Modeling of Deep Neural Networks	2