We propose a projection method to approximate the spectrum of a dissipative system which is a bounded perturbation of a skew-adjoint operator. We show that the associated discrete spectra approximate ...

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 ...

Abstract: In order to model the evolution of a heterogeneous population of cancer stem cells and tumor cells, we analyse a nonlinear system of integro-differential equations. We provide an existence ...

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 ...

ABSTRACT: Due to the ability to model various complex phenomena where classical calculus failed, fractional calculus is getting enormous attention recently. There are several approaches available for ...

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 ...