Numerical Analysis, № 5, 1994

Wave process in a one-dimensional vertically-inhomogeneous medium induced by a sounding impulse moving from the depth is considered. Mathematical background of the algorithm for the reconstruction of the medium's mechanical parameters is given when the form of the initial wave and the surface seismogram are known. Theoretical results are illustrated...

The paper deals with some results, which are connected with the numerical solution of elasticity problems in the case of an arbitrary curvilinear coordinates system. The main ideas will be illustrated for the case of the Cartesian coordinates system.

In the paper new concepts of construction and analysis of numerical schemes of solving ODE systems are used for RK-method of advance accuracy. The analysis of compatibility of equations, the expression for the truncation error are given. The new analitic technics is based on the combinatorial identities. The constructed theory...

In this paper the recurrent relation generating the chain fraction is considered. We find different non-weakened sufficient conditions of its boundedness and small growth of computation errors, caused by the inaccuracy of arithmetical operations implementation. These conditions as well as error estimates do not contain any indefinite constants and are...

The mixed spline approximation problem combines the peculiarities of the problems of spline interpolation and smoothing that were studied by many mathematicians. The monograph of Loran should be mentioned specially. It gives the conditions of existence and uniqueness of the interpolating and smoothing splines in the general form. In practice...

The paper presents the method of constructing the difference analogs of elliptic operators based on the use of their factorized structure (for second order equations as an example). For the Poisson equations the structure of the difference operators obtained allows us to suggest a new efficient method for solving the...

Let us correct the mistake in paper Lotova G. Calculation of time constant of particle breeding by Monte Carlo method using parametric derivatives // Numerical Analysis. — 1993. — # 4. — P. 27-34.