We propose a new family of mapped WENO schemes by using several adaptive control functions and smoothing approximation the signum function. The proposed introduce adaptivity admit an extensive permitted range parameters in mapping functions. Consequently, they have capacity to achieve optimal convergence rates, even near critical points. Particularly, one these with fine-tuned illustrates signi...

Modified group projector technique for induced representations is a powerful tool for calculation and symmetry quantum numbers assignation of a tight binding Hamiltonian energy bands of crystals. Namely, the induced type structure of such a Hamiltonian enables efficient application of the procedure: only the interior representations of the orbit stabilizers are to be considered. Then the genera...

An improved method for analysis of serum iron is described which is simple, rapid, precise and convenient for routine use in clinical laboratories. Serum proteins are precipitated with trichloroacetic acid-hydrochloric acid solution, with simultaneous release of Fe(III) from transferrin. Fe(III) is reduced to Fe(II) by sodium ascorbate, and Fe(II) is reacted with ferrozine to form a lavender co...

A modified slide culture method which combines advantages found in several slide culture methods is described. A block of inoculated nutrient agar sandwiched between two sterile cover glasses is placed in a plastic petri dish containing water agar. After adequate growth has occurred, the slide culture is disassembled and mounted in a conventional manner.

The simulation of turbulent flows is an ongoing challenge. This is especially true for the flows in nuclear reactors. In order to save computational time and resource, accurate numerical schemes are required for such simulations. The encouraging results from the laminar flow simulations using Modified Nodal Integral Method (MNIM), serves as a motivation to use the method for turbulent flow simu...

We show that in modified Faddeev-Jackiw formalism, first and second class constraints appear at each level, and the whole constraint structure is in exact correspondence with level by level method of Dirac formalism. e-mail: [email protected] e-mail:[email protected] The standard method for analysis of the constrained systems is known to be the Dirac formalism [1]. Faddeev and Jac...

Keywords: SOR KSOR MSOR MKSOR and iterative methods a b s t r a c t New forms of the modified successive overrelaxation (MSOR); MKSOR, MKSOR1 and MKSOR2 are introduced. These forms depend on the updated successive overrelaxation method (KSOR) and the combination of the SOR and the KSOR methods. We present analysis of the convergence of the MKSOR methods with fixed parameters for solving linear ...

Some promising ideas for minimizing a nonlinear function, whose first and second derivatives are given, by a modified Newton method, were introduced by Fiacco and McCormick (Ref. 1). Unfortunately, in developing a method around these ideas, Fiacco and McCormick used a potentially unstable, or even impossible, matrix factorization. Using some recently developed techniques for factorizing an inde...