In this paper, the gradient vector flow fields are introduced in the image anisotropic diffusion, and the shock filter, mean curvature flow and Perona-Malik equation are reformulated respectively in the context of this flow fields. Many advantages over the original models can be obtained, such as numerical stability, a large capture range, and computational simplification etc. In addition, the ...

Point vortex ows of a steady, two dimensional, inviscid, and incompressible uid are studied for doubly connected geometries. The Routh function is explicitly constructed, and equilibrium conngurations of vortices are found by determining critical points numerically. The numerical computations make use of an analogue of the Schwarz-Christooel transformation for doubly connected regions.

The advent of supercomputers with hierarchical memory systems has imposed the use of block algorithms for the linear algebra algorithms. Although block algorithms may result in impressive improvements in performance, their numerical properties are quite different from their scalar counterpart and deserve an in-depth study. In this paper, the numerical stability ofblock Gram-Schmidt orthogonaliz...

The numerical stability of the polynomial spline collocation method for general Volterra integro-differential equation is being considered. The convergence and stability of the newmethod are given and the efficiency of the newmethod is illustrated by examples. We also proved the conjecture suggested by Danciu in 1997 on the stability of the polynomial spline collocation method for the higher-or...

Many important scientiic problems can be formulated as systems of ordinary diieren-tial equations with two-point boundary value constraints (BVODE). Multiple shooting is one of the most widely used numerical techniques for solving BVODE problems. In this work, we present a new distributed parallel numerical algorithm for BVODEs which is based on multiple shooting. We investigate the numerical s...

In this paper, the collocation method is performed with quintic B-spline functions on a uniform mesh to obtain the numerical solutions of Fisher’s equation. Crank-Nicolson method is used for time discretization. Von Neumann stability analysis shows that the given method is conditionally stable. In order to observe the effects of reaction and diffusion, four test problems related to pulse distur...

In the past, rock slope stability analysis were performed either graphically or using a hand-held calculator, but nowadays there are variety of slope stability analysis which can be used according to the field condition and potential failure mode. In 2-D analysis, effect of convex and concave walls are neglected, however concave slopes are believed to be more stable than straight walls due to t...

objective: to assess the stability changes as a reflection of early healing around roughened- surface implants in human by resonance frequency analysis (rfa). materials and methods: one hundred and fifty one iti sla implants were placed in either maxilla or mandible of 68 patients. bone type was classified into 4 groups according to lekholm and zarb index. rfa was used for direct implant stabil...

in this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. the stages for prey have been considered. the proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. the model is analyzed by using linear stability analysis to ob...

in order to study genotype  environment interaction (g  e) and to identify high yielding and stable genotypes, 17 safflower (carthamus tinctorius l.) genotypes were evaluated in a randomized complete block design with 3 replications, at 9 research stations during four consecutive cropping seasons (2003–06) under rainfed conditions. on the basis of ammi analysis of variance, effects of genotyp...