In this paper, we study finite volume element (FVE) method for convection–diffusion–reaction equations in a two-dimensional convex polygonal domain. These types of equations arise in the modeling of a waste scenario of a radioactive contaminant transport and reaction in flowing groundwater. Both spatially discrete scheme and discrete-in-time scheme are analyzed in this paper. For the spatially ...

In relation with Monte-Carlo methods to solve some integro-differential equations, we study the approximation problem of IEg(XT ) by IEg(X̄n T ), where (Xt, 0 ≤ t ≤ T ) is the solution of a stochastic differential equation governed by a Lévy process (Zt), (X̄n t ) is defined by the Euler discretization scheme with step Tn . With appropriate assumptions on g(·), we show that the error IEg(XT ) − I...

A sliding mode control method is presented for Euler parameter command tracking of spacecraft maneuvers. Although only three Euler parameters are independent, desired closed-loop performance is specified on all four Euler parameters by way of four sliding surfaces in the Euler parameter error-error rate phase planes. The Euler parameters were chosen as the generalized coordinates for tracking t...

Conditions on the stabilization parameters are explored for different approaches in deriving error estimates for the SUPG finite element stabilization of time-dependent convectiondiffusion-reaction equations. Exemplarily, it is shown for the SUPG method combined with the backward Euler scheme that standard energy arguments lead to estimates for stabilization parameters that depend on the length...

We show how to calculate the Euler characteristic of an affine Jacobi variety of a spectral curve from its defining equations. 0 Membre du CNRS 1 Laboratoire associé au CNRS.

We consider properly immersed finite topology minimal surfaces Σ in complete finite volume hyperbolic 3-manifolds N , and in M × S, where M is a complete hyperbolic surface of finite area. We prove Σ has finite total curvature equal to 2π times the Euler characteristic χ(Σ) of Σ, and we describe the geometry of the ends of Σ. .

Abstract. This project further investigates a model of a simplified internal combustion engine considered by Kranc in 1977. Using Euler’s method for ordinary differential equations, we modeled the interaction between the engine’s flywheel and thermodynamic power cycle. Approximating with sufficiently small time intervals (0.001 seconds over a period of 12 seconds) reproduced Kranc’s results wit...

where u represents the temperature generated by the electric current flowing through a conductor, φ the electric potential, σ(u) and k(u) are, respectively, the electric and thermal conductivities. For more description, we refer to [5, 6, 7, 8, 11] among others. We recall also that the Euler forward method was used by several authors to treat semidiscretization of nonlinear parabolic problems, ...

In this paper, the solution to Fuzzy sequential Fractional Initial Value Problem [FFIVP] under Caputo type fuzzy fractional derivatives by a modified fractional Euler method is presented. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhara difference and strongly generalized fuzzy differentiability. The modified fractional Euler method based on a generalized Taylors formu...

The paper estimates the speed of convergence of the Euler approximation for di usion processes with jump component which have H older continuous coe cients.