A n umerical method for obtaining a crystalline ow starting from a general polygon is presented. A crystalline ow is a polygonal ow and can be regarded as a discrete version of a classical curvature ow. In some cases, new facets may be created instantaneously and their facet lengths are governed by a system of singular ordinary dierential equations (ODEs). The proposed method solves the system ...

In this paper we introduce a method for generating unstructured meshes in parallel which are partitioned in a \good" way. When solving a partial dierential equation on a parallel distributed memory machine, the mesh should be decomposed so that the communication requirement of the numerical solver is minimised and also the amount of work to be performed on each processor is approximately equal....

Abstract: The report evolves a method, which uses the formalization and results of positional antagonistic dierential games theory, developed by N. N. Krasovskii and his scienti c school, for constructing solutions of a class of non-antagonistic dierential games. The method transforms non-antagonistic game into so-called non-standard optimal control problem. Numerical solutions for Stackelberg ...

In this paper we introduce a method for generating unstructured meshes in parallel which are partitioned in a \good" way. When solving a partial dierential equation on a parallel distributed memory machine, the mesh should be decomposed so that the communication requirement of the numerical solver is minimised and also the amount of work to be performed on each processor is approximately equal....

Due to the success of dierential and linear attacks on a large number of encryption algorithms, it is important t o investigate relationships among the various cryptographic, including dierential and linear, characteristics of an S-box (substitution box). After discussing a precise relationship among three tables, namely the dierence, auto-correlation and correlation immunity distribution table...

in this work, we conduct a comparative study among the combine laplace transform and modi ed adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-differential equations of the second kind. the nonlinear part of integro-differential is approximated by adomian polynomials, and the equation is red...