In this paper, we extend a previous work on a compact scheme for the steady Navier Stokes equations [Li, Tang, and Fornberg (1995), Int. J. Numer. Methods Fluids, 20, 1137 1151] to the unsteady case. By exploiting the coupling relation between the streamfunction and vorticity equations, the Navier Stokes equations are discretized in space within a 3_3 stencil such that a fourth order accuracy i...

In this paper, a new learning method is proposed to build Support Vector Machines (SVMs) Binary Decision Functions (BDF) of reduced complexity and efficient generalization. The aim is to build a fast and efficient SVM classifier. A criterion is defined to evaluate the Decision Function Quality (DFQ) which blendes recognition rate and complexity of a BDF. Vector Quantization (VQ) is used to simp...

A study is presented on the topic of numerical efficiency of TD-FEM with the use of BDF. The BDF coefficients are calculated with the use of Lagrange polynomials. The paper also presents two strategies of time-step adaptation. The obtained numerical solutions have been compared with analytical solutions of the selected problems in order to check their accuracy. Streszczenie. Przedstawiono badan...

A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stii solvers that are used in long range transport air pollution codes using operator splitting. Splitting necessarily gives rise to a great deal of integration restarts. ...

Free condoms provided by the government are often not used by Botswana Defence Force (BDF) personnel due to a perceived unpleasant scent and unattractive wrapper. Formative work with the BDF found that scented condoms and military-inspired (camouflage) wrapper graphics were appealing to personnel. A non-randomized intervention study was implemented to determine whether condom wrapper graphics a...

The backward differentiation formula (BDF) is a useful family of implicit methods for the numerical integration stiff differential equations. It well noticed that stability and convergence $A$-stable BDF1 BDF2 schemes parabolic equations can be directly established by using standard discrete energy analysis. However, such classical analysis technique seems not applicable to BDF-$\mathbf{k}$ $3\...

In this paper, we propose a full discretization scheme for the instationary thermal-electro-hydrodynamic (TEHD) Boussinesq equations. These equations model dynamics of non-isothermal, dielectric fluid under influence dielectrophoretic (DEP) force. Our combines an H 1 -conformal finite element method spatial with backward differentiation formula (BDF) time stepping. The resulting allows decouple...