In this paper we propose and analyze a (temporally) third order accurate backward differentiation formula (BDF) numerical scheme for the no-slope-selection (NSS) equation of epitaxial thin film growth model, with Fourier pseudo-spectral discretization in space. The surface diffusion term is treated implicitly, while nonlinear chemical potential approximated by explicit extrapolation sake solvab...

CVODE is a package written in C for solving initial value problems for ordinary di erential equations. It provides the capabilities of two older Fortran packages, VODE and VODPK. CVODE solves both sti and nonsti systems, using variable-coe cient Adams and BDF methods. In the sti case, options for treating the Jacobian of the system include dense and band matrix solvers, and a preconditioned Kry...

Previous studies of the stability of the second-order backward differentiation formula have concluded that stability is possible only if restrictions are placed on the stepsize ratios, for example, limiting the ratio to some value less than 1 + fi. However, actual implementations of the BDFs differ from the usual theoretical models of such methods; in particular, practical codes use scaled deri...

This paper presents a fast frontal face detection method. We use motion segmentation algorithm that makes use of differencing to detect moving people’s faces. The novelty of this paper comes from the differencing in real time input images, preprocessing to remove noises (morphological operator and so on), detecting edge lines and restoration, finding the face area and cutting the head candidate...