In a previous paper analytical equations were derived for the packing fraction of crystalline structures consisting of bimodal randomly placed hard spheres [H. J. H. Brouwers, Phys. Rev. E 76, 041304 (2007)]. The bimodal packing fraction was derived for the three crystalline cubic systems: viz., face-centered cubic, body-centered cubic, and simple cubic. These three equations appeared also to b...

We present a general method for calculating the stacking-fault energy in simple metals, and then we apply this to the ( 1 1 2 ) faults in body-centred cubic (BCC) metals. Our method contains no approximations for a given wavenumber characteristic (or equivalently the pair potential). Our results show that metastable faults do indeed exist in the simple BCC metals (Li, Na. K, Rb, Cs, Ca. Sr, Ba)...

In this paper, we investigate finite difference schemes for the 3-D wave equation using 27-point stencils on the cubic lattice, a 13-point stencil on the face-centered cubic (FCC) lattice, and a 9-point stencil on the body-centered cubic (BCC) lattice. The tiling of the wavenumber space for nonCartesian grids is considered in order to analyse numerical dispersion. Schemes are compared for compu...

We present an Image-To-Mesh Conversion method for building a realistic biomechanical model particularly targeted for surgical simulations. Our implementation generates tetrahedral meshes that conform to the physical boundaries of multilabel segmented images. Our approach, initially creates a Body-Centered Cubic (BCC) lattice that is a coarse approximation of the object boundaries, and then subd...

In this paper, we propose a new multilevel univariate approximation method with high order accuracy using radial basis function interpolation and cubic B-spline quasi-interpolation. The proposed approach includes two schemes, which are based on radial basis function interpolation with less center points, and cubic B-spline quasi-interpolation operator. Error analysis shows that our method produ...