In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...

For linear and fully non-linear diffusion equations of BellmanIsaacs type, we introduce a class of monotone approximation schemes relying on monotone interpolation. As opposed to classical numerical methods, these schemes converge for degenerate diffusion equations having general nondiagonal dominant coefficient matrices. Such schemes have to have a wide stencil in general. Besides providing a ...

We study properties of spherical Bernstein-Bézier splines. Algorithms for practical implementation of the global splines are presented for a homogeneous case as well as a non-homogeneous. Error bounds are derived for the global splines in terms of Sobolev type spherical semi-norms. Multiple star technique is studied for the minimal energy interpolation problem. Numerical summary supporting theo...

1463-5003/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.ocemod.2011.06.003 ⇑ Corresponding author. E-mail address: [email protected] (B. Wang Applying the semi-Lagrangian method to discretize the advection of momentum eliminates the Courant number constraint associated with explicit Eulerian momentum advection in coastal ocean models. Key steps of the semi-Lagrangian method include ...

In his article “Powerlist: A Structure for Parallel Recursion” Jayadev Misra wrote: “Many data parallel algorithms – Fast Fourier Transform, Batcher’s sorting schemes and prefix sum – exhibit recursive structure. We propose a data structure, powerlist, that permits succinct descriptions of such algorithms, highlighting the roles of both parallelism and recursion. Simple algebraic properties of ...

groundwater is a major source of water for domestic, industrial, and agricultural sectors in many countries. the main objective of this research was to provide an overview of present groundwater quality using parameters such as calcium, magnesium, sodium, chloride, sulfate, ph, and electrical conductivity (ec) in the mehran plain, ilam province using gis and geostatistical techniques. a total o...

In this paper we improve the quasilinearization method by barycentric Lagrange interpolation because of its numerical stability and computation speed to achieve a stable semi analytical solution. Then we applied the improved method for solving the Fin problem which is a nonlinear equation that occurs in the heat transferring. In the quasilinearization approach the nonlinear differential equatio...

Extension of two known facts concerning subordination is made. The first fact is that, in subordination of 1-dimensional Brownian motion with drift, selfdecomposability is inherited from subordinator to subordinated. This is extended to subordination of cone-parameter convolution semigroups. The second fact is that, in subordination of strictly stable cone-parameter convolution semigroups on R,...