The time integration scheme is probably one of the most fundamental choices in development an ocean model. In this paper, we investigate several schemes when applied to shallow water equations. This set equations accurate enough for modeling a and also relevant study as it solved barotropic (i.e. vertically averaged) component three dimensional We analyze different stepping algorithms linearize...

In this article, we conjugate time marching schemes with Finite Differences splittings into low and high modes in order to build fully explicit methods with enhanced temporal stability for the numerical solutions of PDEs. The main idea is to apply explicit schemes with less restrictive stability conditions to the linear term of the high modes equation, in order that the allowed time step for th...

An increasing number of public policies and schemes aim to foster integration dynamics by supporting immigrant development practices. The intent of this paper is to assess the effectiveness of this correlation through a comparison between two major immigrant Berber groups in France: the Algerian Kabyles and the Moroccan Chleuhs. While Moroccan organisations have become active development actors...

Symmetry preserving difference schemes approximating second and third order ordinary differential equations are presented. They have the same three or four-dimensional symmetry groups as the original differential equations. The new difference schemes are tested as numerical methods. The obtained numerical solutions are shown to be much more accurate than those obtained by standard methods witho...

In this paper we consider various blends of implicit and explicit time integration schemes based on the well-known BDF2 method, applied to convection-diffusion problems with dominating convection. A fully implicit treatment of convection terms is often not very efficient. We shall deal with schemes that are implicit in the convection terms only locally in space, without introducing the internal...

This paper develops weak exponential schemes for the numerical solution of stochastic differential equations (SDEs) with additive noise. In particular, this work provides first and second-order methods which use at each iteration the product of the exponential of the Jacobian of the drift term with a vector. The article also addresses the rate of convergence of the new schemes. Moreover, numeri...

The numerical schemes approximating chemical reactions according to the mass action law should reproduce at least two properties of the corresponding physical system: mass conservation and nonnegativity of the concentrations. This paper analyzes the equations of mass action kinetics providing a proof of the existence, uniqueness, and positivity of the solution under mild hypotheses on the react...

Most of our work was implemented using Python scripts; we used CrankNicolson finite difference schemes, second order accurate in space, first order in the time-like sense. The velocity field within the test apparatus was produced by D'Arcy et al using the commercial CFD code Fluent. LPA and Verlet integration schemes were used to calculate the motion of a particle through the USP velocity field...

Using peridynamic simulations, a vast range of materials with di erent properties, from polymethyl methacrylate to titanium alloy can be simulated [5]. The results significantly depend on the models and numerical schemes that are employed. Di erent models for bonds, time integration schemes and the summation of forces between particles are employed. Furthermore, several parameters such as the i...