We present an unconditionally stable splitting scheme for incompressible Navier-Stokes equations based on the rotational velocity-correction formulation. The main advantages of the scheme are: (i) it allows the use of time step sizes considerably larger than the widely-used semi-implicit type schemes: the time step size is only constrained by accuracy; (ii) it does not require the velocity and ...

Increasingly, hate groups have used the Internet to express their viewpoints, sell their paraphernalia, and recruit new members. This study explored the effectiveness of persuasive storytelling found on White supremacist Web pages. One hundred eight adolescents participated in a longitudinal study (pretest, Time 1, Time 2) conducted online. A 3 (receptivity: negatively inclined, neutral, predis...

Finite difference methods of the second order of accuracy are elaborated for numerical calculation of non-steady-state ion transfer, which is caused by diffusion, migration, and convection in the unidimensional electrochemical systems. The methods of decoupling a set of coupled continuity equations of the electrolyte species are proposed, which ensures that the discrete equations are consistent...

Recent research has shown that alcohol consumption can exacerbate expressions of racial bias by increasing reliance on stereotypes. However, little work has investigated how alcohol affects intergroup evaluations. The current work sought to address the issue in the context of the correspondence between implicit and explicit measures of anti-black attitudes. Participants were randomly assigned t...

In this paper, a necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudocontractive mappings are proved in an arbitrary real Banach space using an implicit iteration scheme recently introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Fuct. Anal. Optim. 22 (2001) 767–77...

Implicit gender bias has costly and complex consequences for women in the workplace, with many reporting microaggressions which result them being overlooked or disrespected. We present an online desktop virtual environment that follows story of a male female self-avatar from first-person perspective, who either experiences positive negative workplace scenario. The scenario included examples tax...

This paper is concerned with the time-step condition of commonly-used linearized semi-implicit schemes for nonlinear parabolic PDEs with Galerkin finite element approximations. In particular, we study the time-dependent nonlinear Joule heating equations. We present optimal error estimates of the semi-implicit Euler scheme in both the L norm and the H norm without any time-step restriction. Theo...

Although simulations can be useful tools to train dynamic decision making (DDM) skills, studies show that mere practice with simulated environments leads to limited improvements in performance. Simulated environments often show little or no transparency about the underlying structure. Making information about the system and the consequences of decisions available to users has been found to enha...

Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time step size. In this paper, we propose and study a fully implicit method which imposes no limit on the time step size, but requires the solution of a large sparse nonlinear system of equations at every time step. The focus of the p...

The implicit Lagrangian was first proposed by Mangasarian and Solodov as a smooth merit function for the nonnegative orthant complementarity problem. It has attracted much attention in the past ten years because of its utility in reformulating complementarity problems as unconstrained minimization problems. In this paper, exploiting the Jordan-algebraic structure, we extend it to the vector-val...