In this work, we suggest a general viscosity implicit midpoint rule for nonexpansive mapping in the framework of Hilbert space. Further, under certain conditions imposed on sequence parameters, strong convergence theorem is proved by generated proposed iterative scheme, which, addition, unique solution variational inequality problem. Furthermore, provide some applications to inequalities, Fredh...

We perform an error analysis for numerical approximation methods of continuous time Markov chain models commonly found in the chemistry and biochemistry literature. The motivation for the analysis is to be able to compare the accuracy of different approximation methods and, specifically, Euler tau-leaping and midpoint tau-leaping. We perform our analysis under a scaling in which the size of the...

This paper presents the transient model of a new FACTS device, the center node unified power flow controller(C-UPFC), installed at the midpoint of a transmission line. The C-UPFC consists of three voltage source inverters (VSI) with common DC link. One of the converters is connected in parallel at the midpoint of line and the other two converters are connected in series. The simulation results ...

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Algorithmic regularization uses a transformation of the equations of motion such that the leapfrog algorithm produces exact trajectories for two-body motion as well as regular results in numerical integration of the motion of strongly interacting few-body systems. That algorithm alone is not sufficiently accurate and one must use the extrapolation method for improved precision. This requires th...

Experts' uncertainty about their statements Si is described by probabilities pi. The conclusion C of an expert system normally depends on several statements Si, so to estimate the reliability p(C), we must estimate the probability of Boolean combinations like S1 &S2. We cannot ask experts about all 2 n (> 10 10) such combinations, so we must estimate p(S1&S2) based on p1 = p(S1) and p2 = p(S2)....

BACKGROUND Survival analysis using time-updated CD4+ counts during antiretroviral therapy is frequently employed to determine risk of clinical events. The time-point when the CD4+ count is assumed to change potentially biases effect estimates but methods used to estimate this are infrequently reported. METHODS This study examined the effect of three different estimation methods: assuming i) a...