OBJECTIVES Automated variable selection methods are frequently used to determine the independent predictors of an outcome. The objective of this study was to determine the reproducibility of logistic regression models developed using automated variable selection methods. STUDY DESIGN AND SETTING An initial set of 29 candidate variables were considered for predicting mortality after acute myoc...

After having played a prisoner’s dilemma, players can approve or reject the other’s choice of cooperation or defection. If both players approve the other’s choice, the outcome is just the result of the chosen strategies in the prisoner’s dilemma; however, if either rejects the other’s choice, the outcome is the result of mutual defection in the prisoner’s dilemma. In theory, such an approval me...

Trailer systems consist of a steering tractor and a passive trailer linked together with rigid free joint. The backward driving of trailer system is more difficult than the forward driving, because the backward driving of trailer system is unstable. In this paper, we study the backward tracking control for trailer systems and implement the asymptotically stable tracking controller using Lyapuno...

Abstract. This paper is concerned with the numerical approximation of stochastic ordinary differential equations, which satisfy a global monotonicity condition. This condition includes several equations with super-linearly growing drift and diffusion coefficient functions such as the stochastic Ginzburg-Landau equation and the 3/2-volatility model from mathematical finance. Our analysis of the ...

We present a semi-implicit numerical method for micromagnetics simulations, in the presence of spin-currents. The dynamics of the magnetization are described by the Landau–Lifshitz–Gilbert equation, while the dynamics of the spin are described by a diffusion equation with discontinuous coefficients. The complexity of the method presented is comparable to that of solving the linear heat equation...

In contrast to stiff deterministic systems of ordinary differential equations, in general, the implicit Euler method for stiff stochastic differential equations is not effective. This paper introduces a new numerical method for stiff differential equations which consists of interlacing large implicit Euler time steps with a sequence of small explicit Euler time steps. We emphasize that uniform ...