We introduce a numerical method and python package, chimes, that simulates quantum systems initially well approximated by mean field theory using second order extension of the classical approach. call this moment expansion method. In way, we can accurately approximate evolution first moments beyond where breaks down. This allows us to estimate break time approximation without any calculations e...

Moment resisting frames as one of the conventional lateral load resisting systems in buildings suffer from some limitations including code limitations on minimum span-to-depth ratio to ensure the formation of plastic hinges with adequate length at beam ends. According to seismic codes, in ordinary steel moment resisting frames the minimum span-to-depth ratios should be limited to 5 and in speci...

This paper concerns with numerical approximations of solutions of fully nonlinear second order partial differential equations (PDEs). A new notion of weak solutions, called moment solutions, is introduced for fully nonlinear second order PDEs. Unlike viscosity solutions, moment solutions are defined by a constructive method, called the vanishing moment method, and hence, they can be readily com...

performing a probabilistic study rather than a determinist one is a relatively easy way to quantify the uncertainty in an engineering design. due to the complexity and poor accuracy of the statistical moment methods, the monte carlo simulation (mcs) method is wildly used in an engineering design. in this work, an mcs-based reliability analysis was carried out for the stability of the chain pill...

Assume that the potential q(r), r > 0, is known for r ≥ a > 0, and the phase shifts δl(k) are known at a fixed energy, that is at a fixed k, for l = 0, 1, 2, . . . . The inverse scattering problem is: find q(r) on the interval 0≤ r ≤ a, given the above data. A very simple approximate numerical method is proposed for solving this inverse problem. The method consists in reduction of this problem ...