We consider a simplified model of a two-phase flow through a heterogeneous porous medium. Focusing on the capillary forces motion, a nonlinear degenerate parabolic problem is approximated in a domain ...

It is now possible to improve the precision of well survey calculations by order of magnitude with numerical approximation. Although the most precise method of simulating and calculating a wellbore ...

This is a preview. Log in through your library . Abstract We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua, ...

Zhundong Second Mine of State Grid Energy Xinjiang Zhundong Coal and Electricity Co., Ltd., Changji, China. To overcome the problem of calculation errors in the Born approximation when the forward ...

Abstract: In this paper, we propose a discretization for the compressible Stokes problem with an equation of state of the form p=φ(ρ) (where p stands for the pressure and ρ for the density, and φ is a ...

Abstract: Continuing the work of, this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its ...

In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming ...