Abstract Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton’s method for converges in sufficiently large neighborhood around minimizer. We show this paper that, under certain assumptions, the case.

Derivative-free iterative methods are useful to approximate the numerical solutions when given function lacks explicit derivative information or derivatives too expensive compute. Exploring convergence properties of such is crucial in their development. The behavior approaches and determining practical applicability require conducting local as well semi-local analysis. In this study, we explore...

Using Monte Carlo simulations and free energy calculations, we study the phase behavior of hard asymmetric dumbbell particles with a constituent sphere diameter ratio of 0.5. We find a rich phase behavior with isotropic fluid, rotator, and periodic NaCl-based and both periodic and aperiodic CrB-based crystalline phases. The rotator phases found to be stable in this study are similar to those fo...