Numerical methods for elliptic partial differential equations usually lead to systems of linear
equations with sparse, symmetric, and positive definite matrices. In many methods, these …

This paper contains construction and analysis a finite element approximation for convection
dominated diffusion problems with full coefficient matrix on general simplicial partitions in …

The two most popular equity and FX derivatives pricing models in banking practice are the
local volatility model and the Heston model. While the former has the appealing property that …

An approximate mathematical description of the processes of homogeneous nucleation and
homogeneous evaporation (explosive boiling) of a metal target (Al) under the influence of ns …

Treatments of naturally fractured carbonate formations typically involve acid injection when
damage of natural fractures (NFs) occurs mechanically and chemically. Coupled modeling …

In the paper elliptic equations with alternating‐sign coefficients at mixed derivatives are
considered. For such equations new difference schemes of the second order of …

In this paper, the a priori estimates of stability in the energy and the uniform norms are
proved for the monotone and conservative difference schemes approximating elliptic …

Аннотация Рассмотрены разностные схемы и итерационные методы для решения
задач анизотропной диффузии, описываемых многомерными эллиптическими …

The basic mathematical models, computational algorithms, and results of mathematical
modeling of various modes of laser action on metals are considered. It is shown that for …

Finite difference schemes and iterative methods of solving anisotropic diffusion problems
governing multidimensional elliptic PDE with mixed derivatives are considered. By the …