Contents

Computational Mathematics and Mathematical Physics


Vol. 65, No. 1, 2025


GENERAL NUMERICAL METHODS

Collocation-Variational Approaches to the Numerical Solution of Volterra Integral Equations of the First Kind

M. V. Bulatov p. 1  abstract

Product Sums of Zeta Tails by Series Rearrangements

Chunli Li, and Wenchang Chu p. 8  abstract


GENERAL NUMERICAL METHODS

A Monotone Type Second-Order Numerical Method for Volterra–Fredholm Integro-Differential Equation

I. Amirali, B. Fedakar, and G. M. Amiraliyev p. 25  abstract


OPTIMAL CONTROL

A Fast Single-Pass Method for Solving Min-Time Non-Autonomous Anisotropic Control Problems

M. S. Ho, and J. S. Pak p. 35  abstract


ORDINARY DIFFERENTIAL EQUATION

On Spectral Approximations for the Stability Analysis of Boundary Layers

G. V. Zasko p. 49  abstract


PARTIAL DIFFERENTIAL EQUATIONS

First Initial-Boundary Value Problem for Parabolic Systems in a Semibounded Domain with Curvilinear Lateral Boundary

E. A. Baderko, and K. D. Fedorov p. 63  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Nonlinear Method of Corner Boundary Functions with the Influence of an Inflection Point

A. I. Denisov, and I. V. Denisov p. 76  abstract

Solvability Theory for Singular Integro-Differential Equations in the Class of Generalized Functions

N. S. Gabbasov p. 89  abstract

Investigation of Dynamic Processes in an Elastic Layer on the Surface of Compressible Fluid

N. B. Rassoulova, and M. B. Rassoulov p. 102  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Feynman–Kac Formulas for Solutions of Nonstationarily Perturbed Evolution Equations

Yu. N. Orlov, and V. Zh. Sakbaev p. 109  abstract


MATHEMATICAL PHYSICS

Modeling the Upper Mantle Convection in Subduction Zone

A. N. Chetyrbotskii p. 129  abstract


MATHEMATICAL PHYSICS

Spatial Optimal Disturbances of Three-Dimensional Aerodynamic Boundary Layers

A. V. Boiko, K. V. Demyanko, S. A. Kusnetsova, Yu. M. Nechepurenko, and G. V. Zasko p. 138  abstract


MATHEMATICAL PHYSICS

Ideal-Fluid Flow through a Fixed Near-Wall Granular Layer in the Form of Semi-Infinite Step

O. B. Gus’kov p. 151  abstract


MATHEMATICAL PHYSICS

Error Analysis of the Null Field Method for Laplace’s Equation on Circular Domains with Circular Holes: Source Nodes Just on Domain Boundaries

Ming-Gong Lee, Hung-Tsai Huang, Zi-Cai Li, and A. L. Kazakov p. 161  abstract


MATHEMATICAL PHYSICS

Higher-Order Trotter–Suzuki Implementation on Tight Binding Propagation Method for Calculating the Density of States and Optical Conductivity of Disordered Graphene

Emmistasega Subama, Pekik Nurwantoro, and Iman Santoso p. 180  abstract


INFORMATION SCIENCE

Stable Matchings, Choice Functions, and Linear Orders

A. V. Karzanov p. 192  abstract