Numerical Analysis, № 18, 2016

Conditional stability of explicit schemes in finite differences complicates the choice of a time step. The increase in the number of the grid nodes for more precise computations and the corresponding space step decrease leads to the increase in computer costs due to the decreasing of the time step. We...

The self-consistent evolution of the ion-acoustic collisionless shock with shock-reflected ions is numerically studied with kinetic simulations. We want to compare different approaches to the shock simulation based on the PIC-method. The results of one-dimensional fully kinetic simulation for both plasma components with the real ion-to-electron mass ratio are compared...

Today the method for the development of portable numerical simulation programs is very important because of the two main reasons. The first reason is the diversity of supercomputer architectures in Top500 and the second one is a demand for using the most powerful computers to simulate, for example, plasma. The...

The paper reviews the problem of forecasting the possible maximum pressure at the well-head, at the well-bore and at near-wellbore zone of reservoir during the process of new stimulation technology like reactive chemistry application. The technology provides stimulation by thermobaric effects. This impact occurs as a result of thermal decomposition...

This paper investigates a magma flow in permeable zones of the lithosphere. The model equations describing the dynamics of saturated porous media both without tangential stresses and with them are presented. The phenomenological method used for deriving the equations provides the thermodynamic correctness. Based on the model of the heterophase...

This paper deals with an ill-posed problem to determine the size distribution for water drops in a cloud from a given scattering phase function. Numerical experiments have shown that a method based on non-negative least squares with additional requirements of smoothness can be used to solve the ill-posed problems.

In order to create systems of vibroseismic monitoring for earthquakeprone areas it is needed to carry out the simulation of seismic wave propagation in the media typical of volcanic structures. To this end it is required to develop supercomputer technologies for decreasing the computation time and simulation of "big" 3D...

New parallel algorithm is developed for simulating the dynamics of a thin circumstellar disk. It is based on the combination of a gridless method of smoothed particle hydrodynamics (SPH) and the grid-based convolution method for calculating a gravitational potential. To develop the algorithm, we made software profiling of numerical experiments...