Computational Mathematics and Mathematical Physics

Article	Citations
Ideal-Fluid Flow through a Fixed Near-Wall Granular Layer in the Form of Semi-Infinite Step	47
Difference Operator Approximations on Nonstandard Rectangular Grid	20
The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations	17
Reflection of Detonation Wave from the Symmetry Plane within a Cylindrical Target for Controlled Thermonuclear Fusion	16
On the Radial Basis Function Interpolation I: Spectral Analysis of the Interpolation Matrix and the Related Operators	13
Analysis of the Boundary Conditions for Rarefied Molecular Gases with Partial Accommodation Coefficients and Energy Exchange	13
Approximate Solution of Nonlinear Differential Equations with the Help of Rational Spline Functions	12
On a Boundary Problem for a Fourth-Order Elliptic Equation on a Plane	11
Functionals of Eigenvalues on the Manifold of Potentials	10
Singular Nonlinear Problems for Self-Similar Solutions of Boundary-Layer Equations with Zero Pressure Gradient: Analysis and Numerical Solution	9
Symmetries and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters	9
Triple Series Evaluated in π and $$\ln 2$$ as Well as Catalan’s Constant G	8
Generalization of the Penalized Wall Function Method for Modeling of Turbulent Flows with Adverse Pressure Gradient	8
Lower Bounds for Column Matrix Approximations	7
Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares	7
Modeling the Motion of an Elongated Contour under Free Surface of a Heavy Fluid under Large Froude Numbers	7
Formulas for Analytic Continuation of Horn Functions of Two Variables	7
High-Order Energy-Preserving Compact Difference Schemes for the Improved Boussinesq Equation	6
Solving Some Inverse Problems of Gravimetry and Magnetometry Using an Algorithm That Improves Matrix Conditioning	6
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	6
Conformal Mapping of a Z-Shaped Domain	6
Three-Level Schemes with Double Change in the Time Step	6
Stability Analysis of Polymerization Fronts	6
Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators	6
Local Solvability, Blow-Up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: III. Cauchy Problems	6

State Space Approach to Characterize Rayleigh Waves in Nonlocal Thermoelastic Medium with Double Porosity under Three-Phase-Lag Model	6
Algorithm for Mesh Adaptation to a Flow Field with a Bow Shock Wave	6
Memory Response on Thermoelastic Behavior with Temperature Dependent Material Moduli under Mechanical Strip Load	6
On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions	6
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer	6
Review of the Theory of Stable Matchings and Contract Systems	5
Application of Mosaic-Skeleton Approximations of Matrices in the Physical Optics Method for Electromagnetic Scattering Problems	5
Modeling Flexible Manipulators without Inverting Their Mass Matrices	5
An Approach to Improving the Accuracy and Efficiency of the ROMB Method for Solving the Nonstationary Heat Equation	5
Problems of Determining Quasi-Stationary Electromagnetic Fields in Weakly Inhomogeneous Media	5
FAD Technique and Differentiation of a Composite Function	5
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model	5
A Fast Method for Determining the Forces and Moments Acting on Aircraft in a Vortex Wake	5
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space	5
Generating Functions Involving the Fox-Wright Functions	5
Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics	5
Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure	5
Nonlinear Method of Corner Boundary Functions with the Influence of an Inflection Point	5
On Asymptotics of Eigenvalues of Seven-Diagonal Toeplitz Matrices	5
Extended Launch Pad Method for the Pareto Frontier Approximation in Multiextremal Multiobjective Optimization Problems	5
Accuracy Estimation for a Class of Iteratively Regularized Gauss–Newton Methods with a posteriori Stopping Rule	5
Complex Narayana Quaternions	5
Calculation of a Strong Resonance Condition in a Hamiltonian System	5
Approximate Solution of Inverse Problems for the Heat Equation with a Singular Perturbation	5
Analytical and Numerical Solution of Kinetic Interaction Problems for Groups of Fast Particles	5
Multizonal Boundary and Internal Layers in the Singularly Perturbed Problems for a Stationary Equation of Reaction–Advection–Diffusion Type with Weak and Discontinuous Nonlinearity	5
Boundary Layer Mesh Generation with Fast Collision Detection	5
Statement of the Beamforming Problem and a Method of Its Solution for the Localization of an Acoustic Source Based on Computational Experiment Data	5
Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions	5
Conditional Gradient Method for Optimization Problems with a Constraint in the Form of the Intersection of a Convex Smooth Surface and a Convex Compact Set	4
Approximation of Optimal Control Problems for Semilinear Elliptic Convection–Diffusion Equations with Boundary Observation of the Conormal Derivative and with Controls in Coefficients of the Convectiv	4
Economic Growth Models with Heterogeneous Discounting	4
Estimation of the Remainder Terms of Certain Horn Hypergeometric Series	4
On the Redundancy of Hessian Nonsingularity for Linear Convergence Rate of the Newton Method Applied to the Minimization of Convex Functions	4
Convergence of Some Difference Schemes of the Support Operator Method for Repeated Rotational Operations	4
A Discrete Nine-Velocity Model of the Boltzmann Equation: Solution in the Form of Wild Sum and Applications to Simulating Incompressible Flows	4
Gaps in the Spectrum of Thin Waveguides with Periodically Locally Deformed Walls	4
Quadrature Formulas for Singular Integrals Containing the Values of a Function and Its Derivatives	4
Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons	4
Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows	4
Sample Size Determination: Likelihood Bootstrapping	4
Sequence Transformations in Proofs of Irrationality of Some Fundamental Constants	4
Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail	4
On Numerical Damping of String Vibrations Using Several Stationary Actuators	4
Discontinuity Structures and Solitary Waves in Electromagnetic Hydrodynamics Associated with Linear and Nonlinear Alfvén Wave Resonances	3
Density Gradient Model in Spherically Symmetric Formulation and Its Explicit-Implicit Dissipative Discretization for the Study of Phase Boundary Dynamics	3
Two-Dimensional Mathematical Models of Strict Plasma Equilibrium in Galatea Magnetic Traps and Numerical Analysis of Stability	3
Regular Approximations of the Fastest Motion of Mobile Robot under Bounded State Variables	3
Optimal Control of Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions	3
Mathematical Simulation of Nonequilibrium Shock Layer Flow around a Rotating Body	3

A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments	3
Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay	3
Approximation of Functions Defined in Tabular Form. II	3
Results of Symmetry Classification of 2-Field Third-Order Evolutionary Systems with a Constant Separant	3
On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves	3
Approximation of Continuous Functions by Classical Sincs and Values of Operators Cλ	3
Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function	3
On Numerical Solution of One Class of Integral Equations of the Third Kind	3
On L2-Dissipativity of a Linearized Scheme on Staggered Meshes with a Regularization for 1D Barotropic Gas Dynamics Equations	3
On Using the Shell Theory in Stability Analysis of Fluid Flows in Compliant Pipes	3
Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front	3
Determination of the Thermal Conductivity from the Heat Flux on the Surface of a Three-Dimensional Body	3
Calculation of Radiated Sound from Finite Rectangular Thin Plate Excited by Plane Wave	3
Shock-Capturing Exponential Multigrid Methods for Steady Compressible Flows	3
Rational Arithmetic with a Round-Off	3
Choice of an Algorithm for Broadband Monitoring of the Optical Coating Deposition Process Taking into Account the Effect of Error Self-Compensation	3
Local Wavelet Adaptation of Cartesian Grids in Computational Fluid Dynamics	3
A Posteriori Error Estimates of Approximate Solutions to Elliptic Boundary Value Problems in Terms of Local Norms and Cost Functionals	3
On Asymptotics of the Solution to the Cauchy Problem for a Singularly Perturbed Operator-Differential Transport Equation with Weak Diffusion in the Case of Several Space Variables	3
Differential-Difference Equations with Optimal Parameters	3
Smooth Solution of the Second Initial-Boundary Value Problem for a Model Parabolic System in a Semibounded Nonsmooth Domain on the Plane	3
Analytical-Numerical Method for Analyzing Small Perturbations of Geostrophic Ocean Currents with a General Parabolic Vertical Profile of Velocity	3
Numerical-Statistical and Analytical Study of Asymptotics for the Average Multiplication Particle Flow in a Random Medium	3
Structured Pseudospectra in Problems of Spatial Stability of Boundary Layers	3
Existence and Stability of the Solution to a System of Two Nonlinear Diffusion Equations in a Medium with Discontinuous Characteristics	3
Verification of a Numerical Algorithm Based on Quasi-Hydrodynamic Equations as Applied to Thermal Convection Problems	3
Exact Solution of a Bicompact Difference Scheme for Maxwell’s Equations	3
Constructing Solutions of Cauchy Type Integral Equations by Using Four Kinds of Basis	3
Asymptotics of Long Waves Generated by Time-Harmonic Spatially Localized Sources in Basins with Gently Sloping Shores	3
Optimization Approach to Determining the Velocity Field in Image Processing Problems	3
Computation of Unsteady Swirling Flows in Nozzles and Pipes by Applying a New Locally Implicit Godunov-Type Scheme	3
On the Probabilistic-Statistical Approach to the Analysis of Nonlocality Parameters of Plasma Density	3
Numerical Solution of Ionization Equations by the Fractional Step Method	2
Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition	2
Coordinated Control of Multiple Surface Unmanned Vehicle Clusters under the Influence of Wind Field and Tides	2
Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization	2
On the Number of Solutions to Linear Diophantine Equation and Frobenius Problem	2
Integral Representations for Second-Order Elliptic Systems in the Plane	2
q-Modified Differential Transform Method	2
Analytical Solution for the Cavitating Flow over a Wedge. II	2
Multi-Cluster Coordinated Movement and Dynamic Reorganization	2
Nonlinear Evolution of Stationary Perturbations in a Spatially Evolving Round Submerged Jet	2
On Accuracy of the Lattice Boltzmann Equations of Low and High Orders as Applied to Slow Isothermal Microflows	2
Characteristic-Based Volume Penalization-Imposed Wall Function Method for Turbulent Boundary Layer Modeling	2
Another Approach to Build Lyapunov Functions for the First Order Methods in the Quadratic Case	2
Optimal Control of Investment in a Collective Pension Insurance Model: Study of Singular Nonlinear Problems for Integro-Differential Equations	2
On the Solution of a Conformal Mapping Problem by Means of Weierstrass Functions	2
The Singularity Set of Optimal Transportation Maps	2
Adaptive Interpolation Algorithm Using TT-Decomposition for Modeling Dynamical Systems with Interval Parameters	2
Influence of the Shock Wave Intensity on Instability Development at Rough Interfaces of a Three-Layer Gas System	2
Smooth Lyapunov Manifolds for Autonomous Systems of Nonlinear Ordinary Differential Equations and Their Application to Solving Singular Boundary Value Problems	2
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	2
Erratum to: On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry	2
Fault-Tolerant Families of Production Plans: Mathematical Model, Computational Complexity, and Branch-and-Bound Algorithms	2
Grid-Characteristic Numerical Method on an Irregular Grid with Extending the Interpolation Stencil	2
Monotone Schemes of Conditional Approximation and Arbitrary Order of Accuracy for the Transport Equation	2
Cauchy Problem for the One-Dimensional Equation of Motion in a Metamaterial	2
New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side	2
Higher-Order Trotter–Suzuki Implementation on Tight Binding Propagation Method for Calculating the Density of States and Optical Conductivity of Disordered Graphene	2
Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach	2
On Boundary Properties of Conformal Mappings	2
Analytical Study on the Generalized q-Deformed Sinh–Gordon (Eleuch) Equation	2
Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles	2
Projector Approach to the Butuzov–Nefedov Algorithm for Finding Asymptotic Solutions for a Class of Discrete Problems with a Small Step	2
Instability of Gas–Liquid Interface in Porous Media Flow Governed by Forchheimer’s Law	2
New Computer Efficient Approximations of Random Functions for Solving Stochastic Transport Problems	2
Solving Nonlinear Volterra Integral Equations of the First Kind with Discontinuous Kernels by Using the Operational Matrix Method	2
On Singular Points of Linear Differential-Algebraic Equations with Perturbations in the Form of Integral Operators	2
Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media	2
Accuracy of Bicompact Schemes in the Problem of Taylor–Green Vortex Decay	2
Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids	2
On Normal Modes of a Waveguide	2
Convergence of Continuous Analogues of Numerical Methods for Solving Degenerate Optimization Problems and Systems of Nonlinear Equations	2
Non-Quadratic Proxy Functions in Mirror Descent Method Applied to Designing of Robust Controllers for Nonlinear Dynamic Systems with Uncertainty	2
A Fast Single-Pass Method for Solving the Generalized Eikonal Equation in a Moving Medium	2
Inverse Problems for the Diffusion–Drift Model of Charging of an Inhomogeneous Polar Dielectric	2
On Analytic Continuation of Conformal Mapping of a Circular Triangle	2
Splitting Schemes for One Class of Operator Differential Equations	2
Determination of the Thermal Conductivity and Volumetric Heat Capacity of Substance from Heat Flux	2
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model	2

First Initial-Boundary Value Problem for Parabolic Systems in a Semibounded Domain with Curvilinear Lateral Boundary	2
Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium	2
The Method of Optical Paths for the Numerical Solution of Integrated Photonics Problems	2
Numerical-Analytical Decomposition-Autocompensation Method for Signal Recognition from Incorrect Observations	2
Non-Simplicial Delaunay Meshing via Approximation by Radical Partitions	2
Modeling Epidemics: Neural Network Based on Data and SIR-Model	2
Fast Solution Algorithm for a Three-Dimensional Inverse Multifrequency Problem of Scalar Acoustics with Data in a Cylindrical Domain	2
Size Gradation Control for Anisotropic Mixed-Element Mesh Adaptation	2
Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System	2
Sound Radiation from Non-Uniformly Lined Duct with Partial Rigidity	2
Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations	2
Fast Automatic Differentiation Technique and Control of Thermal Dynamical Systems	2
Three Boundary Value Problems for Complex Partial Differential Equations in the Lens Domain	2
Local Solvability and Blow-Up of Classical Solution to Some Initial-Boundary Value Problem for a Nonlinear Equation Governing Ion-Acoustic Waves in a Plasma	2
Numerical Study of Instability of Medium Interface During Thermonuclear Combustion of a Cylindrical Shelled Microtarget	2
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	2
Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects	2
Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications	2
Asymptotic Expansion for the Solution of an Optimal Boundary Control Problem in a Doubly Connected Domain with Different Control Intensity on Boundary Segments	2
Convergence Analysis of the ADI Scheme for Parabolic Problems using Discrete Harmonic Functions	2
Application of Universal Fast Trigonometric Interpolation and Extrapolation for Determining the Launch Point Coordinates of a Flight Vehicle	2
Quadrature Formula for a Double Layer Potential in the Case of the Helmholtz Equation	2
The Simultaneous Reduction of a Pair of Unitoid Matrices to Diagonal Form Revisited	2
Singular Part of the Electromagnetic Field in Problems of Diffraction by Bodies with Edges for Different Types of Boundary Conditions	2
KP1-Scheme for Acceleration of Upscatter Iterations over the Neutron Thermalization Region and the Fission Source in Solving a Subcritical Boundary Value Problem	2
Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic Media	2
Quantum Markovian Dynamics after the Bath Correlation Time	2
Lavrent’ev-Type Equations and Systems in the Inverse Problem of Reconstructing Viscoelastic Medium Memory	2
An Approach to the Implementation of the Multigrid Method with Full Approximation for CFD Problems	2