Abstract Second-order reliability methods are commonly used for the computation of reliability, defined as probability satisfying an intended function in presence uncertainties. These can achieve highly accurate predictions owing to a second-order approximation limit-state around Most Probable Point failure. Although numerous formulations have been developed, lack full-scale comparative studies...

Reliability based design with expensive computer models becomes computationally prohibitive when reliability is estimated by sampling methods. While designing for high reliability with few samples, techniques like tail models are widely used to extrapolate reliability levels from observed levels to unobserved levels. One such approach, the multiple tail median approach uses two classical tail m...

In this study, it is attempted to analyze sensitivity and reliability in order to evaluate the liquefaction potential in soil layers in Tabriz. 62 boreholes that had possible conditions for liquefaction were selected. Seismic mapping was simulated using finite fault method and then the effect of soil layers on PGA was estimated. In continue, the liquefaction potential index was estimated and th...

‎in this paper‎, ‎we present a new modification of chebyshev-halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎the convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎so‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that o...