Contents

Computational Mathematics and Mathematical Physics

Vol. 64, No. 2, 2024

General Numerical Methods

Estimation of QTT Ranks of Regular Functions on a Uniform Square Grid

A. Zyl’ and N. Zamarashkin p. 177  abstract

Improved Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential

P. A. Krutitskii and I. O. Reznichenko p. 188  abstract

Approximation of Continuous Functions by Classical Sincs and Values of Operators Cλ

V. N. Pasechnik p. 206  abstract

Optimal Control

Synthesis of an Optimal Stable Affine System

L. T. Ashchepkov p. 211  abstract

Ordinary Differential Equations

Smooth Lyapunov Manifolds for Autonomous Systems of Nonlinear Ordinary Differential Equations and Their Application to Solving Singular Boundary Value Problems

N. B. Konyukhova p. 217  abstract

Partial Differential Equations

Explicit Numerically Implementable Formulas for Poincaré–Steklov Operators

A. S. Demidov and A. S. Samokhin p. 237  abstract

Tenth-Order Accurate Numerical Method for Solving the Time-Dependent Schrödinger Equation

M. A. Zakharov p. 248  abstract

Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold

A. L. Kazakov, O. A. Nefedova and L. F. Spevak p. 266  abstract

On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions

O. V. Solonukha p. 285  abstract

Mathematical Physics

Local Wavelet Adaptation of Cartesian Grids in Computational Fluid Dynamics

A. L. Afendikov and V. S. Nikitin p. 300  abstract

New Computer Efficient Approximations of Random Functions for Solving Stochastic Transport Problems

G. A. Mikhailov and I. N. Medvedev p. 314  abstract

Application of the Explicitly Iterative Scheme to Simulating Subsonic Reacting Gas Flows

E. E. Peskova and O. S. Yazovtseva p. 326  abstract

Algorithm for Solving the Four-Wave Kinetic Equation in Problems of Wave Turbulence

B. V. Semisalov, S. B. Medvedev, S. V. Nazarenko and M. P. Fedoruk p. 340  abstract

Erratum

Erratum to: Triple Series Evaluated in π and $\ln 2$ as well as Catalan’s Constant G

Chunli Li and Wenchang Chu p. 362  abstract