Computational Mathematics and Mathematical Physics

Papers
(The median citation count of Computational Mathematics and Mathematical Physics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
Formulas for Analytic Continuation of Horn Functions of Two Variables27
State Space Approach to Characterize Rayleigh Waves in Nonlocal Thermoelastic Medium with Double Porosity under Three-Phase-Lag Model22
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 Form18
Lower Bounds for Column Matrix Approximations14
Solving Some Inverse Problems of Gravimetry and Magnetometry Using an Algorithm That Improves Matrix Conditioning14
Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares13
Functionals of Eigenvalues on the Manifold of Potentials11
Modeling the Motion of an Elongated Contour under Free Surface of a Heavy Fluid under Large Froude Numbers10
Symmetries and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters10
Three-Level Schemes with Double Change in the Time Step10
On the Radial Basis Function Interpolation I: Spectral Analysis of the Interpolation Matrix and the Related Operators10
Difference Operator Approximations on Nonstandard Rectangular Grid10
Triple Series Evaluated in π and $$\ln 2$$ as Well as Catalan’s Constant G9
Memory Response on Thermoelastic Behavior with Temperature Dependent Material Moduli under Mechanical Strip Load9
Algorithm for Mesh Adaptation to a Flow Field with a Bow Shock Wave9
Adaptation of the Finite Element Method to the Stieltjes String Deformation Problem with Nonlinear Condition8
Ideal-Fluid Flow through a Fixed Near-Wall Granular Layer in the Form of Semi-Infinite Step8
High-Order Energy-Preserving Compact Difference Schemes for the Improved Boussinesq Equation8
Model-Driven and Data-Driven Inversion in Geophysical Exploration8
Stability Analysis of Polymerization Fronts7
Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators7
FAD Technique and Differentiation of a Composite Function7
Perturbation Method and Existence of Nonlinearizable Solutions in the Problem of Propagation of a Nonlinear Coupled TE–TE Wave in a Planar Optical Waveguide with Spatial Inhomogeneity of the Medium7
Adaptive Block Algebraic Multigrid Method for Multiphysics Problems7
Elliptic Differential-Difference Equations with Nonlocal Potentials in a Half-Space7
Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure7
Generalization of the Penalized Wall Function Method for Modeling of Turbulent Flows with Adverse Pressure Gradient7
New Results on Generalized Quaternions for Hyper-Numbers with Fibonacci and Lucas Numbers Components7
Local Solvability, Blow-Up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: III. Cauchy Problems7
Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics6
Spectral Methods and Quadratures6
Complex Narayana Quaternions6
A Note on the Crank–Nicolson Difference Scheme for the Numerical Solution of Stochastic Parabolic Equation6
Solvability of a Boundary Value Problem for the Stationary Magnetohydrodynamics–Boussinesq Model with Variable Leading Coefficients6
On Asymptotics of Eigenvalues of Seven-Diagonal Toeplitz Matrices6
Nonlinear Method of Corner Boundary Functions with the Influence of an Inflection Point6
On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions6
Memory Time Fluctuations and Explosive Growth of Moments in Systems of Equations with Random Coefficients6
Review of the Theory of Stable Matchings and Contract Systems6
Restoration of the Oscillation Function for the Source Support in the Wave Equation6
Multizonal Boundary and Internal Layers in the Singularly Perturbed Problems for a Stationary Equation of Reaction–Advection–Diffusion Type with Weak and Discontinuous Nonlinearity6
Problems of Determining Quasi-Stationary Electromagnetic Fields in Weakly Inhomogeneous Media5
Localization of Movable Singularities of the Blasius Equation5
A Fast Method for Determining the Forces and Moments Acting on Aircraft in a Vortex Wake5
Decomposition–Composition Schemes for Systems of Second-Order Evolution Equations5
Acoustic Waveform Inversion with Image-To-Image Schrödinger Bridges5
Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows5
Astrophysical Research of A.G. Yagola5
Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions5
Conformal Mapping of a Z-Shaped Domain5
Sequence Transformations in Proofs of Irrationality of Some Fundamental Constants5
Sample Size Determination: Likelihood Bootstrapping5
Application of Mosaic-Skeleton Approximations of Matrices in the Physical Optics Method for Electromagnetic Scattering Problems5
Boundary Layer Mesh Generation with Fast Collision Detection5
An Approach to Improving the Accuracy and Efficiency of the ROMB Method for Solving the Nonstationary Heat Equation5
Analytical and Numerical Solution of Kinetic Interaction Problems for Groups of Fast Particles5
Solution Blow-Up and Global Solvability of the Cauchy Problem for the Nonlinear Timoshenko Equation for Bending Oscillations of a Beam5
Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons5
Quadrature Formulas for Singular Integrals Containing the Values of a Function and Its Derivatives5
Principles of Dualism in the Theory of Solutions to Infinite-Dimensional Differential Equations Depending on Existing Types of Symmetries4
Constructing Solutions of Cauchy Type Integral Equations by Using Four Kinds of Basis4
Rational Arithmetic with a Round-Off4
Two-Dimensional Mathematical Models of Strict Plasma Equilibrium in Galatea Magnetic Traps and Numerical Analysis of Stability4
Economic Growth Models with Heterogeneous Discounting4
Estimation of the Remainder Terms of Certain Horn Hypergeometric Series4
A Decomposition Approach on the Base of Brownian Iteration for the Linear Programming Where All Basis Matrices Are M-Matrix4
On the Approximation of the Gravitational Field of a Small Celestial Body by the Attractive Field of an Equimomental Quadruple of Material Points4
On the Redundancy of Hessian Nonsingularity for Linear Convergence Rate of the Newton Method Applied to the Minimization of Convex Functions4
Numerical and Analytical Comparison of the Fingering Phenomenon in the Hele-Shaw Cell4
An Adaptive Stochastic Gradient Algorithm Based on FISTA for Convex Optimization4
Optimization Approach to Determining the Velocity Field in Image Processing Problems4
Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front4
Optimal Control of Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions4
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 Convectiv4
Gaps in the Spectrum of Thin Waveguides with Periodically Locally Deformed Walls4
Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail4
Conditional Gradient Method for Optimization Problems with a Constraint in the Form of the Intersection of a Convex Smooth Surface and a Convex Compact Set4
On Approximate Solutions of Magnetic Field Boundary Value Problems by the Method of a System of Integral Equations4
Verification of a Numerical Algorithm Based on Quasi-Hydrodynamic Equations as Applied to Thermal Convection Problems4
On the Probabilistic-Statistical Approach to the Analysis of Nonlocality Parameters of Plasma Density4
Calculation of Radiated Sound from Finite Rectangular Thin Plate Excited by Plane Wave4
Structured Pseudospectra in Problems of Spatial Stability of Boundary Layers4
Analytical-Numerical Method for Analyzing Small Perturbations of Geostrophic Ocean Currents with a General Parabolic Vertical Profile of Velocity4
Regular Approximations of the Fastest Motion of Mobile Robot under Bounded State Variables4
Calculation of a Strong Resonance Condition in a Hamiltonian System4
On Numerical Damping of String Vibrations Using Several Stationary Actuators4
Convergence of Some Difference Schemes of the Support Operator Method for Repeated Rotational Operations4
Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay4
Results of Symmetry Classification of 2-Field Third-Order Evolutionary Systems with a Constant Separant4
A Simplified Non-Equilibrium Splitting Preconditioner for Three-by-Three Block Saddle Point Problems3
Solving Nonlinear Volterra Integral Equations of the First Kind with Discontinuous Kernels by Using the Operational Matrix Method3
Singular Part of the Electromagnetic Field in Problems of Diffraction by Bodies with Edges for Different Types of Boundary Conditions3
Differential-Difference Equations with Optimal Parameters3
First Initial-Boundary Value Problem for Parabolic Systems in a Semibounded Domain with Curvilinear Lateral Boundary3
Approximation of Continuous Functions by Classical Sincs and Values of Operators Cλ3
Instability of Gas–Liquid Interface in Porous Media Flow Governed by Forchheimer’s Law3
An Algorithm for Calculating Nonlinear Wave Processes in a Microwave Generator with Magnetic Insulation in the Three-Dimensional Case3
A Computable Stability Criterion for Linear Delay Difference Systems3
Computation of Unsteady Swirling Flows in Nozzles and Pipes by Applying a New Locally Implicit Godunov-Type Scheme3
Transparent Boundary Conditions for the Wave Equation with Variable Speed of Sound3
Nonlinear Evolution of Stationary Perturbations in a Spatially Evolving Round Submerged Jet3
A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments3
Asymptotics of Long Waves Generated by Time-Harmonic Spatially Localized Sources in Basins with Gently Sloping Shores3
Local Solvability and Blow-Up of Classical Solution to Some Initial-Boundary Value Problem for a Nonlinear Equation Governing Ion-Acoustic Waves in a Plasma3
Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition3
The Fibonacci and Lucas Generalized Quaternionic Sequences Over $$\mathcal{H}\mathcal{G}\mathcal{C}$$ Numbers3
Grid-Characteristic Numerical Method on an Irregular Grid with Extending the Interpolation Stencil3
Experience in Applying Physics-Informed Neural Networks to Inverse Problems of Geoelectrics3
Three Boundary Value Problems for Complex Partial Differential Equations in the Lens Domain3
Numerical and Analytical Investigation of Shock Wave Processes in Elastoplastic Media3
Shock-Capturing Exponential Multigrid Methods for Steady Compressible Flows3
Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects3
Order-Optimal Numerical Methods for Solving Singular Integro-Differential Equations3
Exact Solution of a Bicompact Difference Scheme for Maxwell’s Equations3
Discontinuity Structures and Solitary Waves in Electromagnetic Hydrodynamics Associated with Linear and Nonlinear Alfvén Wave Resonances3
Numerical Construction of Parametrized Potentials for Nucleon-Alpha Inverse Scattering Using Variational Monte Carlo and Phase Function Method3
Local Wavelet Adaptation of Cartesian Grids in Computational Fluid Dynamics3
Optimal Disturbances of Stationary and Periodic Solutions to Delay Systems in Mathematical Immunology3
On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves3
Erratum to: On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry3
Convergence of Continuous Analogues of Numerical Methods for Solving Degenerate Optimization Problems and Systems of Nonlinear Equations3
Determination of the Thermal Conductivity and Volumetric Heat Capacity of Substance from Heat Flux3
Deformation of an Impervious Poroelastic Half-Space under Normal Circular Loading3
Smooth Lyapunov Manifolds for Autonomous Systems of Nonlinear Ordinary Differential Equations and Their Application to Solving Singular Boundary Value Problems3
On Analytic Continuation of Conformal Mapping of a Circular Triangle3
A Fast Single-Pass Method for Solving the Generalized Eikonal Equation in a Moving Medium3
The Method of Optical Paths for the Numerical Solution of Integrated Photonics Problems3
On L2-Dissipativity of a Linearized Scheme on Staggered Meshes with a Regularization for 1D Barotropic Gas Dynamics Equations3
Optimal Control of Investment in a Collective Pension Insurance Model: Study of Singular Nonlinear Problems for Integro-Differential Equations3
Approximation of Functions Defined in Tabular Form. II3
Lavrent’ev-Type Equations and Systems in the Inverse Problem of Reconstructing Viscoelastic Medium Memory3
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 Variables3
On the Difference Solution of a Nonlocal Boundary Value Problem for a Fractional Diffusion Equation3
Choice of an Algorithm for Broadband Monitoring of the Optical Coating Deposition Process Taking into Account the Effect of Error Self-Compensation3
Density Gradient Model in Spherically Symmetric Formulation and Its Explicit-Implicit Dissipative Discretization for the Study of Phase Boundary Dynamics3
On Accuracy of the Lattice Boltzmann Equations of Low and High Orders as Applied to Slow Isothermal Microflows3
A Posteriori Error Estimates of Approximate Solutions to Elliptic Boundary Value Problems in Terms of Local Norms and Cost Functionals3
Integral Representations for Second-Order Elliptic Systems in the Plane3
Two-Dimensional Modification of Godunov’s Method of the Fourth Order in Space and the Third Order in Time3
The Simultaneous Reduction of a Pair of Unitoid Matrices to Diagonal Form Revisited2
On One Method for Calculating Nonstationary Heat Transfer between a Gas Flow and a Solid Body2
Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture2
Convective Cahn–Hilliard–Oono Equation2
Estimation of the Remainder Term of the Appell Hypergeometric Series F22
RANS Simulation of Supersonic Flow around a Cylinder Fixed between Parallel Plates2
Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System2
Duality Method for Solving 3D Contact Problems with Friction2
A High-Order Accurate Scheme for 2D Fractional Mixed Diffusion and Diffusion-Wave Equation2
Coordinated Control of Multiple Surface Unmanned Vehicle Clusters under the Influence of Wind Field and Tides2
Multi-Cluster Coordinated Movement and Dynamic Reorganization2
Polynomial Curve Fitting for Data with Interval Uncertainty2
Constructing Circulants and Skew-Circulants with Prescribed Properties2
An Adaptive Variant of The Frank–Wolfe Method for Relative Smooth Convex Optimization Problems2
On the Uniform Convergence of Approximations to the Tangential and Normal Derivatives of the Single-Layer Potential Near the Boundary of a Two-Dimensional Domain2
Numerical Solution of Ionization Equations by the Fractional Step Method2
Breaking of Internal Solitary Waves in a Three-Layer Fluid over an Obstacle2
Rational Coefficients of Orthogonal Expansions of Some Functions2
Lattice Boltzmann Equations Based on Shakov’s Model and Applications to Modeling Rarefied Poiseuille Flow with a High Subsonic Velocity2
A Parallel RBF-VerBSS Hybrid Method for Mesh Deformation2
Mathematical Modeling of Unsteady Combustion of Coke Sedimentations in a Catalyst Layer with Spherical Grains2
q-Modified Differential Transform Method2
Exact Formula for Solving a Degenerate System of Quadratic Equations2
Another Approach to Build Lyapunov Functions for the First Order Methods in the Quadratic Case2
Quasi-Gasdynamic Model and Numerical Algorithm for Describing Mixtures of Different Fluids2
Solution of the Exterior Boundary Value Problem for the Helmholtz Equation Using Overlapping Domain Decomposition2
On Singular Points of Linear Differential-Algebraic Equations with Perturbations in the Form of Integral Operators2
Generalization of the Subset Sum Problem and Cubic Forms2
New Computer Efficient Approximations of Random Functions for Solving Stochastic Transport Problems2
Small Parameter Method in the Theory of Burgers-Type Equations2
Gas Well Injectivity in Different Regimes of Reservoir Fluid Displacement2
Generalizations of the Stage Order of Runge–Kutta Methods2
Higher-Order Iterative Learning Control Algorithms for Linear Systems2
Reconstruction of Two Functions in the Model of Vibrations of a String One End of Which Is Placed in a Moving Medium2
Detecting Two-Dimensional Fingering Patterns in a Non-Equilibrium PDE Model via Adaptive Moving Meshes2
Numerical Study of Instability of Medium Interface During Thermonuclear Combustion of a Cylindrical Shelled Microtarget2
On Numerical Beamforming for Correlated Dipole-Type Sources2
Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach2
Projector Approach to the Butuzov–Nefedov Algorithm for Finding Asymptotic Solutions for a Class of Discrete Problems with a Small Step2
The Stability of Chemically Reactive Casson Fluid in a Porous Inclined Channel with Radiation Effect2
An Approach to the Implementation of the Multigrid Method with Full Approximation for CFD Problems2
Discrete Sources Method for Studying the Influence of Quantum Effects on Optical Characteristics of Coated Plasmonic Nanoparticles2
Enhanced High-Order Weighted Compact Nonlinear Schemes for Compressible Euler Equations2
Higher-Order Trotter–Suzuki Implementation on Tight Binding Propagation Method for Calculating the Density of States and Optical Conductivity of Disordered Graphene2
On the Solution of a Conformal Mapping Problem by Means of Weierstrass Functions2
Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization2
KP1-Scheme for Acceleration of Upscatter Iterations over the Neutron Thermalization Region and the Fission Source in Solving a Subcritical Boundary Value Problem2
Global Well-Posedness for the Fractional Magneto-Micropolar Equations in Variable Exponent Fourier–Besov Spaces2
Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles2
Application of Universal Fast Trigonometric Interpolation and Extrapolation for Determining the Launch Point Coordinates of a Flight Vehicle2
Turbulent Kinetic Energy in an Approximate Riemann Solver2
Variational Data Assimilation Methods in Geophysical Hydrodynamics Problems2
On Boundary Properties of Conformal Mappings2
Mathematical Model of Human Capital Dynamics2
Influence of the Shock Wave Intensity on Instability Development at Rough Interfaces of a Three-Layer Gas System2
Dualism in the Theory of Soliton Solutions II2
On the First Initial-Boundary Value Problem for Parabolic Systems in a Bounded Domain with Curvilinear Lateral Boundaries2
Optimization of Control and Parameters in Systems with Phase Constraints2
Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients2
An Efficient DE Sinc Function-Based Approximation Scheme for Non-Local Elliptic Boundary Value Problems2
Inverse Problems for the Diffusion–Drift Model of Charging of an Inhomogeneous Polar Dielectric2
On a New Type of Unitoid Matrices2
Preservation of Spherical Symmetry on a Spherical Grid in Cartesian Coordinates in Gas Flow Computations Based on Eulerian Finite-Volume Schemes2
MHD Cattaneo–Christov Heat and Mass Fluxes with Nanofluid Flow in a Porous Medium between Dual Stretchable Rotating Disks2
A Linear Matching Problem for a Generalized Cauchy–Riemann Equation with Super-Singular Points on a Half-Plane2
Quantum Markovian Dynamics after the Bath Correlation Time2
Fast Automatic Differentiation Technique and Control of Thermal Dynamical Systems2
Difference Schemes Based on Exponentially Converging Quadratures for the Cauchy Integral2
K-Optimal Preconditioners Based on Approximation of Inverse Matrices2
Non-Quadratic Proxy Functions in Mirror Descent Method Applied to Designing of Robust Controllers for Nonlinear Dynamic Systems with Uncertainty2
Solvability Theory for Singular Integro-Differential Equations in the Class of Generalized Functions2
Cauchy Problem for the One-Dimensional Equation of Motion in a Metamaterial2
Analytical Study on the Generalized q-Deformed Sinh–Gordon (Eleuch) Equation2
On the Number of Solutions to Linear Diophantine Equation and Frobenius Problem2
The Singularity Set of Optimal Transportation Maps2
Fractional Calculus in Fluid Mechanics: Iterative Solutions for Heat and Wave Equations2
Study on the Definite Solution Problems for Systems of Partial Differential Equations under Elastic External Boundary Condition of Polynomial Function Type and Application in Composite Reservoir2
Modeling Epidemics: Neural Network Based on Data and SIR-Model2
Fault-Tolerant Families of Production Plans: Mathematical Model, Computational Complexity, and Branch-and-Bound Algorithms2
Characteristic-Based Volume Penalization-Imposed Wall Function Method for Turbulent Boundary Layer Modeling2
Numerical-Analytical Decomposition-Autocompensation Method for Signal Recognition from Incorrect Observations2
Splitting Schemes for One Class of Operator Differential Equations2
Testing of Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential at the Boundary of a Thin Body2
A Uniform Numerical Method for Solving a Singularly Perturbed Neutral Delay Differential Equation2
Non-Simplicial Delaunay Meshing via Approximation by Radical Partitions2
On the Stability of a Central Difference Scheme with a Stabilizing Correction for the 3D Transport Equation2
Generalization of the Method of Scattering Matrices to Problems in Nonlinear Dispersion Media2
Approximation of Differential Operators with Boundary Conditions2
Size Gradation Control for Anisotropic Mixed-Element Mesh Adaptation2
Direct and Inverse Problems in the Generalized Logarithmic Boussinesq Equation2
Mathematical Modeling of Thermoelectric Current Suppression outside the Melt Region of a Fusion Reactor Divertor Material2
A Computational Scheme for 1D Time-Dependent Singularly Perturbed Parabolic Differential-Difference Equations2
On Approximate Solution of One Class of Singular Integro-Differential Equations1
Refined Schemes for Computing the Dynamics of Elastoviscoplastic Media1
Numerical Solution of the Vlasov–Ampère Equations1
On Elliptic and Parabolic Nonlinear Model Systems of Equations in the Theory of Crystalline Semiconductors1
Spectral Methods for Solution of Differential and Functional Equations1
A Nonsingular Matrix with a Well-Conditioned Cosquare: How to Bring IT to Diagonal Form by a Congruence Transformation1
Excitation and Development of Instability in a Compressible Boundary Layer as Obtained in High-Order Accurate Numerical Simulation without Introducing Artificial Perturbations1
Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities1
Analysis of Approximate Solution for a Class of Systems of Integral Equations1
Testing Bicompact Schemes for the One-Dimensional Maxwell Equations in Stratified Media1
Asymptotic and Stability Analysis of Reaction Fronts1
Parasitic Eigenvalues of Spectral Problems for the Laplacian with Third-Type Boundary Conditions1
On Some Elliptic Boundary Value Problems in Conic Domains1
Formulas for Numerical Differentiation on a Uniform Mesh in the Presence of a Boundary Layer1
Internal Gravity Waves from a Localized Source in Stratified Medium Flow with a Model Buoyancy Frequency Distribution1
The Problem of Complex Heat Transfer with Cauchy-Type Conditions on a Part of the Boundary1
Search for Sparse Solutions of Super-Large Systems with a Tensor Structure1
On Pairs of Symmetric Toeplitz Matrices Whose Squares Are Identical1
Optimal Control Synthesis in a Ramsey-Type Model1
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