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The main purpose of this work is to provide a novel numerical approach for the Volterra integral equations based on a spectral approach. A Legendre-collocation method is proposed to solve the Volterra integral equations of the second kind. We provide a rigorous error analysis for the proposed method, which indicate that the numerical errors (in the infinity… (More)
This work presents the first effort in designing a moving mesh algorithm to solve the incompressible Navier–Stokes equations in the primitive variables formulation. The main difficulty in developing this moving mesh scheme is how to keep it divergence-free for the velocity field at each time level. The proposed numerical scheme extends a recent moving grid… (More)
In this paper we will discuss a class of adaptive grid methods called moving mesh method (MMM). Some recent progress of the moving mesh methods will be reviewed. In particular, we review their applications to computational fluid dynamics.
We derive a lower error bound for monotone diierence schemes to the solution of the linear advection equation with BV initial data. A rigorous analysis shows that for any monotone diierence scheme the lower L 1 error bound is O ?p x , where x is the size of space step.
Using the graphics processing unit (GPU) to accelerate the general purpose computation has attracted much attention from both the academia and industry due to GPU's powerful computing capacity. Thus optimization of GPU programs has become a popular research direction. In order to support the general purpose computing more efficiently, GPU has integrated the… (More)
OBJECTIVE To establish the transfection method of vascular endothelial growth factor (VEGF) gene into mesenchymal stem cells (MSCs), to investigate the effect of this gene-transfected MSCs for heart function restoration and angiogenesis after myocardial infarction, and to compare the therapeutic differences among cell therapy, gene therapy, and combined… (More)
Emerging evidence indicates that microRNAs (miRNAs) have important roles in regulating osteogenic differentiation and bone formation. Thus far, no study has established the pathophysiological role for miRNAs identified in human osteoporotic bone specimens. Here we found that elevated miR-214 levels correlated with a lower degree of bone formation in bone… (More)
Magnetotactic bacteria are difficult to grow under defined conditions in culture, which has presented a major obstacle to commercial application of magnetosomes. We studied the relationships among the cell growth, magnetosome formation, dissolved oxygen concentration (DO), and the ability to supply oxygen to the cells. Mass culture of Magnetospirillum… (More)
In this study, we examined the acute toxicity, immunotoxicity, and cytotoxicity of bacterial magnetosomes (BMs). LD(50) of BMs injected into the sublingual vein of SD rats was 62.7 mg/kg. Further studies with injection of 40 mg/kg BMs showed no significant difference between BM-treated and control rats in terms of routine blood exam results, liver and… (More)