INTRODUCTION Drinking identity strength (how strongly one views oneself as a drinker) is a promising risk factor for hazardous drinking. A critical next step is to investigate whether the centrality of drinking identity (i.e., the relative importance of drinking vs. other identity domains, like well-being, relationships, education) also plays a role. Thus, we developed explicit and implicit mea...

We consider a fully discrete approximation of the H gradient flow of an energy integral where the energy density is given by the sum of a nonnegative multi-well potential term and a bending energy term. The spatial discretization is based on a Fourier spectral method, which is combined with an implicit Euler time discretization. The numerical method is shown to be stable and to exhibit optimal ...

modelling and forecasting stock market is a challenging task for economists and engineers since it has a dynamic structure and nonlinear characteristic. this nonlinearity affects the efficiency of the price characteristics. using an artificial neural network (ann) is a proper way to model this nonlinearity and it has been used successfully in one-step-ahead and multi-step-ahead prediction of di...

Strong stability preserving (SSP) time discretizations were developed for use with the spatial discretization of partial differential equations that are strongly stable under forward Euler time integration. SSP methods preserve convex boundedness and contractivity properties satisfied by forward Euler, under a modified time-step restriction. We turn to implicit Runge–Kutta methods to alleviate ...

Efficient solution techniques for high-order accurate time-dependent problems are investigated for solving the two-dimensional non-linear Euler equations in this work. The spatial discretization consists of a high-order accurate Discontinuous Galerkin (DG) approach. Implicit time-integration techniques are considered exclusively in order to avoid the stability restrictions of explicit methods. ...

The formulaton of a multi-layer primitive equation model on the sphere is described. The horizontal representation is by means of spherical harmonics, truncated either in the triangular or rhomboidal manner. The time integration is performed using the semi-implicit method in which the linearized gravity wave terms are time averaged and thus the fast moving waves of this type are slowed. For a S...

purpose : to evaluate the effect of intraviteral bevacizumab (ivb) in diabetic macular edema (dme), using multifocal electroretinography (mferg) methods : sixty-four eyes of 32 patients with bilateral symmetric clinically significant macular edema (csme) were included in the study. after taking a baseline mferg, macular photocoagulation (mpc) was done in all eyes. after 7 days, 1.25 mg of bevac...

Abstract: The classical Simpson rule is an optimal fourth order two-step integration scheme for first-order initial-value problems; however, it is unconditionally unstable. An A-stabilized version of Simpson rule was given by Chawla et al [3] and an L-stable version was given by Chawla et al [2]. These rules are functionally implicit, and when applied for the time integration of nonlinear diffe...

The main purpose of this paper is to study the stability and error estimates of the local discontinuous Galerkin (LDG) methods coupled with multi-step implicit-explicit (IMEX) time discretization schemes, for solving time-dependent incompressible fluid flows. We will give theoretical analysis for the Oseen equation, and assess the performance of the schemes for incompressible Navier-Stokes equa...