We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical simulations. The so-called numerical relativity (computational simulations in general relativity) is a promising research field matching with ongoing astrophysical observations such as gravitational wave astronomy. Many trials for longterm stable and accurate simulations of binary compact objects ha...

Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified model of linear interconnection of linear subsystems, where provably global properties, e.g. global convergence to a specific state, usually hold true. Howeve...

| The paper is devoted to nding the most dangerous (critical) changes of parameters which put the power system on either a saddle node or Hopf bifurcation boundary. The corresponding vectors in the space of system parameters provide information about stability margins, give a measure of and locally optimal ways to improve power system security, indicate parameters which badly aaect stability. T...

this study carried out to determine the differences between oil content and fatty acid compositions of 12 exotic and 6 local safflower genotypes. the experiments were arranged in randomized complete blocks design with three replications in research station of ferdowsi university of mashhad. the results of variance analysis showed that the differences of seed yield, oil content and fatty acid co...

In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...