an enhamced scheme is introduced for the solution of two dimensional umsteady euler equations. the finite- volume method of jameson et al. is modified by devicing a pnessune sensor in cell flux calculations. then the discretized gorerning equations ane relaxed in time until na steady state is reached. an appropriate model for the artificial dissipation was also employed. several tests wene cond...

The computation of structural failure probability is vital importance in the reliability analysis and may be carried out on the basis of the first-order reliability method using various mathematical iterative approaches such as Hasofer-Lind and Rackwitz-Fiessler (HL-RF). This method may not converge in complicated problems and nonlinear limit state functions, which usually shows itself in the f...

This paper presents a fast implementation of the recursive spectral bisection method for p-way partitioning. It is known that re-cursive bisections for p-way partitioning using optimal strategies at each step may not lead to a good overall solution. The relaxed implementation accelerates the partitioning process by relaxing the accuracy requirement of spectral bisection (SB) method. Considering...

The purpose of this note is to add some important properties to the results obtained in [2]. Specifically, it is shown that (i) an apportionment for relaxed divisor methods remains unchanged over an interval and (ii) any relaxed divisor method approaches the Webster method as the house size increases.

In [8], Gilbert Strang explored the chaotic behavior of Newton's method applied to x + 1 when the iteration starts from only real initial conditions. We embed Strang's problem in the one-parameter family of iteration methods known as relaxed Newton's method. By extending this analysis to include a discussion of invariant measures, probability densities, and Lyapunov exponents, we prove that in ...