in this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent hamiltonians. we drive the time-dependent recursion relations for the renormalized tight-binding hamiltonian by decimating selective sites of lattice iteratively. the formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

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The aim of the present study was to present a novel non-local mean (NLM) method to denoise diffusion tensor imaging (DTI) data in the tensor space. Compared with the original NLM method, which uses intensity similarity to weigh the voxel, the proposed method weighs the voxel using tensor similarity measures in the diffusion tensor space. Euclidean distance with rotational invariance, and Rieman...

Moving-grid methods are becoming increasingly popular for solving several kinds of parabolic and hyperbolic partial differential equations involving fine-scale structures such as steep moving fronts and emerging steep layers. An interesting example of such a method is provided by the moving-finite-element (MFE) method. A difficulty with MFE, as with many other existing moving-grid methods, is t...

Amiodarone is used in treatment of cardiac arrhythmias. Therapeutic use of amiodarone is limited by its side effects, including pulmonary toxicity. Human Placenta Extract (HPE) contains a variety of bio-active substances. Thus, the present study aimed to quantitatively evaluate the protective effects of HPE on the structural lung changes induced by amiodarone using stereological methods. Spragu...

We propose in this paper a space-time adaptive algorithm based on the Dual Weighted Residual (DWR) idea in the framework of finite element method. Our algorithm consists of applying the DWR technique locally in each time interval In := (tn−1, tn], thus, we control the local or truncation error for a functional of the solution J(u). That means that we can define a self-sufficient criterium that ...

The mean diffusivity (MD) value has been used to describe microstructural properties in Diffusion Tensor Imaging (DTI) in cortical gray matter (GM). Recently, researchers have applied a cortical surface generated from the T1-weighted volume. When the DTI data are analyzed using the cortical surface, it is important to assign an accurate MD value from the volume space to the vertex of the cortic...

We consider integral equations on the halfline of the form x(s) − ∫∞ 0 k(s, t)x(t) dt = y(s) and the finite section approximation xβ to x obtained by replacing the infinite limit of integration by the finite limit β. We establish conditions under which, if the finite section method is stable for the original integral equation (i.e., xβ exists and is uniformly bounded in the space of bounded con...