Contents
Computational Mathematics and Mathematical Physics

Vol. 38, No. 1, 1998

Simultaneous English language translation of the journal is available from / Interperiodica Publishing (Russia).
Computational Mathematics and Mathematical Physics ISSN 0965-5425.

The Dimension of the Variety of Normal Matrices

Kh. D. Ikramov p. 1  abstract

Commutation Criterion for Toeplitz Matrices

V. I. Gel’fgat p. 7  abstract

B-Splines in the Finite-Element Method

N. L. Patsko and Yu. N. Subbotin p. 11  abstract

Approximation of Some Classes of Functions by Local Splines

I. V. Boikov p. 21  abstract

Cubature Formulas on a Sphere That Are Invariant with Respect
to Octahedron Rotation Groups

A. S. Popov p. 30  abstract

Properties of the Solutions to the Problem of Dynamic Routing in Networks

N. S. Vasil’ev p. 38  abstract

Accelerating the Convergence Rate of a Combined Relaxational Method

I. V. Konnov p. 49  abstract

The Argument Principle in a Spectral Problem for Systems of Ordinary Differential Equations
with Singularities

A. A. Abramov, V. I. Ul’yanova, and L. F. Yukhno p. 57  abstract

Numerical Solution of the Cauchy Problem for a System of Differential-Algebraic Equations
with the Use of Implicit Runge–Kutta Methods with a Nontrivial Predictor

G. Yu. Kulikov p. 64  abstract

Construction of High-Order Accurate Difference Schemes for Hyperbolic Equations

V. G. Krupa p. 81  abstract

Monte Carlo Solution of the Finite-Difference Dirichlet Problem for the Multidimensional
Helmholtz Equation

G. A. Mikhailov and A. F. Cheshkova p. 95  abstract

Numerical Probabilistic Methods for Solving a Three-Dimensional Hyperbolic
Diffusion Equation

A. F. Kryuchkov and V. A. Sirenek p. 103  abstract

The Method of Boundary Integral Equations for a Model of Electric Current
in Superconductors

M. M. Khapaev, Jr. p. 111  abstract

Soliton Solutions of the Two-Dimensional Zakharov–Kuznetsov Equation

V. I. Zhuk and S. P. Popov p. 118  abstract

Determination of the Propagation Constants of Dielectric-Waveguide Eigenmodes by Methods
of Potential Theory

E. M. Karchevskii p. 132  abstract

On the Unique Solvability of an Initial–Boundary Value Problem in Dynamics
of Exponentially Stratified Fluid

A. V. Glushko p. 137  abstract

An Analogue of the Schwarz Method for Solving the Zaremba Problem and Its Application
in Underground Fluid Mechanics

A. I. Ibragimov and A. A. Nekrasov p. 146  abstract

The Rate of Convergence of the Galerkin Approximations for a Nonlinear Thermoelasticity
Problem for Thin Plates

S. E. Zhelezovskii, G. M. Ivanov, and N. P. Krivonogov p. 153  abstract

Local Methods for Solving One Class of Integer Linear Programming Problems

N. N. Katerinochkina p. 165  abstract

Spectral-Difference Technique for the Numerical Integration of the Three-Dimensional
Maxwell Equations in Cylindrical Coordinates

M. V. Skachkov and S. G. Chubukova p. 170  abstract

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