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	20
On Favard Local Parabolic Interpolating Splines with Additional Knots	16
The Singularity Set of Optimal Transportation Maps	14
Hodograph Method for Solving the Overturned Shallow Water Problem	10
On Normal Modes of a Waveguide	10
Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay	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
Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models	7
Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension	7
Solution of the Two-Dimensional Inverse Problem of Quasistatic Elastography with the Help of the Small Parameter Method	7
Numerical Analysis of Stability Loss for Poiseuille-Type Polymer Fluid Flows under the Pulsed Effect of Pressure and Temperature	7
Integral Identity and Estimate of the Deviation of Approximate Solutions of a Biharmonic Obstacle Problem	7
The Finite-Time Expected Deviation Exponent for Continuous Dynamical Systems	6
Counterexamples to the Assumption on the Possibility of Prolongation of Truncated Solutions of a Truncated LODE	6
Memory Response on Thermoelastic Behavior with Temperature Dependent Material Moduli under Mechanical Strip Load	6
On Stability of an Approximate Solution of the Cauchy Problem for Some First-Order Integrodifferential Equations	6
Three-Level Schemes with Double Change in the Time Step	6
A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case	6
Justification of the Collocation Method for an Integral Equation of the Exterior Dirichlet Problem for the Laplace Equation	6
Approximate Solution of Nonlinear Differential Equations with the Help of Rational Spline Functions	6
Recognition of a Quasi-Periodic Sequence Containing an Unknown Number of Nonlinearly Extended Reference Subsequences	6
On the Simulation of a Rarefied Plasma Jet on the Basis of Kinetic Equations	6
Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold	5
A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations with Two Integral Boundary Conditions	5

State Space Approach to Characterize Rayleigh Waves in Nonlocal Thermoelastic Medium with Double Porosity under Three-Phase-Lag Model	5
Scheme for Calculating Unsteady Flows of Heat-Conducting Gas in the Three-Temperature Approximation	5
Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations	5
Modeling the Motion of an Elongated Contour under Free Surface of a Heavy Fluid under Large Froude Numbers	5
Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations	5
Nonclassical Heat Transfer in a Microchannel and a Problem for Lattice Boltzmann Equations	5
Minimax Problem of Suppressing a Communication Network	5
Lower Bounds for Column Matrix Approximations	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
Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation	5
A Fictitious Time Lie-Group Integrator for the Brinkman–Forchheimer Momentum Equation Modeling Flow of Fully Developed Forced Convection	5
Application of the Explicitly Iterative Scheme to Simulating Subsonic Reacting Gas Flows	5
Stability Analysis of Polymerization Fronts	5
Synthesis of an Optimal Stable Affine System	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
Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System	5
Analysis of the Boundary Conditions for Rarefied Molecular Gases with Partial Accommodation Coefficients and Energy Exchange	5
Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas	4
On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane	4
On the Radial Basis Function Interpolation I: Spectral Analysis of the Interpolation Matrix and the Related Operators	4
Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media	4
Fast Expansion Method for Evaluating Definite Integrals with a Variable Upper Limit and a Composite or Implicitly Defined Integrand	4
Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition	4
Improved Quadrature Formula for a Single-Layer Potential	4
Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone	4
Symmetries and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters	4
Functionals of Eigenvalues on the Manifold of Potentials	4
Numerical Simulation of Convective Flows in a Thin Liquid Layer at Large Reynolds Numbers	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
Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid	4
Stability Indicators of Nonnegative Matrices: Parametric and Sparse Cases	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
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	4
Efficient Method for Solving the Boltzmann Equation on a Uniform Mesh	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
Investigation of Stability of Supersonic Solitary Waves in an Elastic Electrically Conductive Micropolar Material	3
The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations	3
Ideal-Fluid Flow through a Fixed Near-Wall Granular Layer in the Form of Semi-Infinite Step	3
Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball	3
Singular Nonlinear Problems for Self-Similar Solutions of Boundary-Layer Equations with Zero Pressure Gradient: Analysis and Numerical Solution	3
Integral Representations for Second-Order Elliptic Systems in the Plane	3
Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method	3
The Gradient Projection Method with Armijo’s Step Size on Manifolds	3
Non-Quadratic Proxy Functions in Mirror Descent Method Applied to Designing of Robust Controllers for Nonlinear Dynamic Systems with Uncertainty	3

Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane	3
High-Order Energy-Preserving Compact Difference Schemes for the Improved Boussinesq Equation	3
Numerical Study of Shock Wave Processes in Materials under the Influence of Ultrashort Laser Pulses Using the Baer–Nunziato Model	3
Inverse Problems for the Helmholtz Equation on Finding the Right-Hand Side with Nonlocal Integral Observation	3
Generalization of the Penalized Wall Function Method for Modeling of Turbulent Flows with Adverse Pressure Gradient	3
Uniqueness of a Solution to the Lavrent’ev Integral Equation in n-Dimensional Space	3
Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization	3
Investigation of Dynamic Processes in an Elastic Layer on the Surface of Compressible Fluid	3
On the Simultaneous Determination of the Distribution Density of Sources Equivalent in the External Field and the Spectrum of the Useful Signal	3
Synthesis of an Optimal System with Stable Sliding Modes	3
Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model	3
Constructing Estimates of Reachability Sets in Crowd Flows Modeling	3
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer	3
Exponentially Convergent Numerical Scheme for the Stream Function of Potential Flow over Axisymmetric Bodies	3
Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles	3
Optimization of a Numerical-Statistical Algorithm for Estimating the Mean Particle Flow in a Bounded Random Medium with Multiplication	3
Algorithm for Mesh Adaptation to a Flow Field with a Bow Shock Wave	3
Calculating a Perturbation of a Plasma Layer by an Electric Field	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
Analytical Solution for the Cavitating Flow over a Wedge. II	3
Modeling Epidemics: Neural Network Based on Data and SIR-Model	3
Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain	3
Reflection of Detonation Wave from the Symmetry Plane within a Cylindrical Target for Controlled Thermonuclear Fusion	3
A Super-Fast Algorithm for Solving the Direct Scattering Problem for the Manakov System	3
New Approach to the Iterative Method for Numerical Solution of a Convolution Type Equation Determined for a Certain Class of Problems	3
Another Approach to Build Lyapunov Functions for the First Order Methods in the Quadratic Case	3
Formulas for Analytic Continuation of Horn Functions of Two Variables	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
Approximation of the Capacitated Vehicle Routing Problem with a Limited Number of Routes in Metric Spaces of Fixed Doubling Dimension	3
Data Parallelization Algorithms for the Direct Simulation Monte Carlo Method for Rarefied Gas Flows on the Basis of OpenMP Technology	3
Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares	3
Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators	2
Extended Direct Method and New Similarity Solutions of Kadomtsev–Petviashvili Equation	2
Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations	2
Dynamics of Chains of Many Oscillators with Unidirectional and Bidirectional Delay Coupling	2
Asymptotic Analysis of Eigenvalues for Concentrated Masses Approaching One Another	2
Substantiation of a Quadrature-Difference Method for Solving Integro-Differential Equations with Derivatives of Variable Order	2
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	2
Modeling the Upper Mantle Convection in Subduction Zone	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
Higher-Order Trotter–Suzuki Implementation on Tight Binding Propagation Method for Calculating the Density of States and Optical Conductivity of Disordered Graphene	2
New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side	2
Transfinite Barycentric Interpolation via Dirichlet Energy Minimization for Conical Surfaces	2
Coordinated Control of Multiple Surface Unmanned Vehicle Clusters under the Influence of Wind Field and Tides	2
Feynman–Kac Formulas for Solutions of Nonstationarily Perturbed Evolution Equations	2
Boundary Layer Mesh Generation with Fast Collision Detection	2
Numerical-Analytical Method for Nonlinear Equations of Kolmogorov–Petrovskii–Piskunov Type	2
Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer	2
On the Reconstruction of an Input Disturbance in a Reaction–Diffusion System	2
Multipole Representation of the Gravitational Field of the Asteroid (16) Psyche	2
Optimal Boundary Control of a Distributed Heterogeneous Vibrating System with Given States at Intermediate Times	2
On One Inverse Problem for the Kolmogorov–Fokker–Planck Equation	2
Simulation of Domain Walls: Simple Waves in the Magnetodynamics Equation	2
Application of the Conjugate Gradient Method for Solving Unilateral Discrete Contact Problems for an Elastic Half-Space	2
Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method	2
Integral Representation of Solutions and Riemann–Hilbert Type Problem for the Cauchy–Riemann Equation with Strong Singularity in the Lower Order Coefficient in a Domain with Piecewise Smooth Boundary	2
Analytical and Numerical Solution of Kinetic Interaction Problems for Groups of Fast Particles	2
A Shannon Wavelet-Based Approximation Scheme for Thomas–Fermi Models of Confined Atoms and Ions	2
Numerical Study of Transient Regimes of Kolmogorov Flow in a Square Cell	2
Triple Series Evaluated in π and $$\ln 2$$ as Well as Catalan’s Constant G	2
Product Sums of Zeta Tails by Series Rearrangements	2
Numerical Simulation of Two-Phase Porous Medium Flow with an Active Additive	2
On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition	2
On a Method for Solving a Mixed Boundary Value Problem for a Parabolic Equation Using Modified Sinc-Approximation Operators	2
Supplement to the Classical Result of A.N. Tikhonov on Electromagnetic Sensing for a Medium with Thin Layers	2
Analyticity and Pseudo-Analyticity in the Small Parameter Method	2
Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium	2
A KP 1 Scheme for Acceleration of Inner Iterations for the Transport Equation in Two-Dimensional Geometries Consistent with Nodal Schemes	2
On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions	2
Non-Simplicial Delaunay Meshing via Approximation by Radical Partitions	2
Blow-up of Weak Solutions of the Cauchy Problem for (3+1)-Dimensional Equation of Plasma Drift Waves	2
Subsonic Rarefied Gas Flow over a Rectangular Cylinder	2
Quantum Markovian Dynamics after the Bath Correlation Time	2
Reduced-Order Modeling of Deep Neural Networks	2
New Algorithms for Solving Nonlinear Eigenvalue Problems	2
Extended Launch Pad Method for the Pareto Frontier Approximation in Multiextremal Multiobjective Optimization Problems	2
Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure	2
A Simple Criterion for Estimating the Grid Level of Detail for RANS Methods	2
Order-Optimal Spline Methods for Solving Singular Integro-Differential Equations	2
Extraction of Inductances and Spatial Distributions of Currents in a Model of Superconducting Neuron	2

On a Flow Around a Cylinder Over Uneven Bottom	2
Investigation of Nondissipative Discontinuity Structures for Equations of Micropolar Magnetoelastic Medium and Development of a General Approach to the Numerical Solution of Evolutionary Partial Diffe	2
Optimal Control Synthesis in a Ramsey-Type Model	2
Estimates of the p-Norms of Solutions and Inverse Matrices of Systems of Linear Equations with a Circulant Matrix	2
Generalization of the Fast Fourier Transform with a Constant Structure	2
Solving Some Inverse Problems of Gravimetry and Magnetometry Using an Algorithm That Improves Matrix Conditioning	2
Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics	2
Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential	2
Three-Dimensional Numerical Transfer Model Using a Monotonized Z-Scheme	2
Local Solvability, Blow-Up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: III. Cauchy Problems	2
Nonlinear Method of Corner Boundary Functions with the Influence of an Inflection Point	2
Accuracy Estimation for a Class of Iteratively Regularized Gauss–Newton Methods with a posteriori Stopping Rule	2
Neural Network with Smooth Activation Functions and without Bottlenecks Is Almost Surely a Morse Function	2
Boundary Element Method for Solving an Inhomogeneous Biharmonic Equation with a Right-Hand Side Containing the Unknown Function and Its Derivatives	2
Grid-Characteristic Method Combined with Discontinuous Galerkin Method for Simulation of Wave Propagation through Linear Elastic Media in the Three-Dimensional Case	2
A Version of Closing the System of Moment Equations of an Arbitrary Order	2
On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method	2
Error Analysis of the Null Field Method for Laplace’s Equation on Circular Domains with Circular Holes: Source Nodes Just on Domain Boundaries	2
Mixed Virtual Element Approximation of a Fourth Order Optimal Control Problem	2
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model	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
Dynamic Bayesian Networks as a Testing Tool for Fuzzing Web Applications	2
Conformal Mapping of a Z-Shaped Domain	2
On the Best Approximation Algorithm by Low-Rank Matrices in Chebyshev’s Norm	2
Discrete-Analytical Difference Scheme for Solving the Nonstationary Particle Transport Equation by the Splitting Method	2
FAD Technique and Differentiation of a Composite Function	2
An Approximate Method for Solving Boundary Value Problems with Moving Boundaries by Reduction to Integro-Differential Equations	2