Increasing the operating reliability of integrated microcircuits (IMC) remains, on the whole, an unsolved design problem. An important aspect of this problem is the stability of the circuits under transient faults (malfunctions) in large integrated circuits. Faults appear due to various disturbances: radiation, supply voltage jumps, signal degradation over time, etc. Investigations show that the probability of an error due to these factors may vary between very wide limits: from less than 0.1% for large circuits and up to 30% for very small circuits. In this article, we consider various methods of enhancing the fault tolerance of combinational circuits and also assess the effect of a single fault and a stuck-at fault on circuit operation for the case of combinational circuits from the ISCAS’85 set.

A new method for seismic data processing is considered. Surface traveling waves are recovered from these data and wave-dependent coefficients are determined. The results of the proposed method are consistent with the results reported by other Chinese researchers [4, 5].

We describe the possibilities of a numerical method based on quasi-gas dynamic (QGD) equations for the numerical simulation of a turbulent boundary layer. A subsonic Couette flow in nitrogen is used as an example, with dynamic Reynolds numbers of 153 and 198. The QGD system differs from the system of Navier---Stokes equations by additional nonlinear dissipative terms with a small parameter as a coefficient. In turbulent flow simulation, these terms describe small-scale effects that are not resolved on the grid. Comparison of our results (velocity profiles and mean-square velocity pulsations) with direct numerical simulation (DNS) results and benchmark experiments show that the QGD algorithm adequately describes the viscous and the logarithmic layers near the wall. Compared with high-accuracy DNS methods, the QGD algorithm permits using a relatively large spatial grid increment in the interior part of the viscous sublayer. Thus, the total number of grid points in the turbulent boundary layer may be relatively small. Unlike various versions of the large-eddy simulation (LES) method, the QGD algorithm does not require introduction of near-wall functions, because the additional terms vanish near the wall. For small Reynolds numbers, the QGD algorithm describes laminar Couette flow.

In this article, a modification of Newton's method with fifteenth-order convergence is presented. The modification of Newton's method is based on the method of fifth-order convergence of Hu et al. First, we present theoretical preliminaries of the method. Second, we solve some nonlinear equations and then systems of nonlinear equations obtained by means of the finite element method. In contrast to the eleventh-order M. Raza method, the fifteenth-order method needs less function of evaluation per iteration, but the order of convergence increases by four units. Numerical examples are given to show the efficiency of the proposed method.

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for the noncoercive impulse control quasi-variational inequality (QVI). Lź convergence of the approximation is derived as a result of the geometrical convergence of a Bensoussan---Lions algorithm type and uniform error estimate between the continuous algorithm and its finite element counterpart. This approach is completely different from the one inroduced in [2] as it enables us to derive the error estimate through a computational iterative scheme.

A model of a two-dimensional open-pit mine is proposed and an optimal control problem is formulated with mixed constraints on the control parameters and an integral objective functional. The problem is discretized in one of the phase variables and solved by the gradient projection method with penalty functions. Numerical results illustrating the the method are also represented.

We calculate the parameters for the optimal design of a cryogenic system used to cool a HiPER laser target. The optimality criteria are minimum sliding time and maximum rolling time of the target in the system. The solution is obtained by simulating the motion of a spherical target through a curvilinear channel and constructing the set of criterion values and its Pareto boundary.

The article examines two main methods of recording the activity of cerebral neuron sources --- electroand magneto-encephalography. A spherical and an ellipsoidal model of the head are considered. EEG and MEG data are shown to depend on the initial parameters (source position and orientation). The two methods can be combined for solving the inverse problem of electroencephalography.

We consider an initial---boundary-value problem for the diffusion equation with spherical symmetry and an unknown initial condition. Additional information to determine the unknown initial condition is provided by the external volume potential whose density is a Laplace operator evaluated on the solution of the initial---boundary-value problem. A numerical method is proposed for the corresponding inverse problem. Its efficiency is assessed by a computer experiment.

The unsteady flow of a non-Newtonian fluid in a metallic wire coating process inside a cylindrical roll die is considered. The constitutive equations of the fluid are modeled for a fourth-grade non-Newtonian fluid with non-homogenous boundary conditions. Analytical solutions for the axial velocity field have been obtained in explicit forms by modified homotopy perturbation transform method. These solutions are written as the sum between the permanent and the transient solutions. However, for large values of t, both of these solutions become identical. The obtained velocity field is compared with the existing exact solution of the same flow problem for a second grade fluid. Also, graphs representing the solutions are discussed and appropriate conclusions drawn.