The sequential fully implicit (SFI) scheme was introduced (Jenny et al. 2006) for solving coupled flow and transport problems. Each time step SFI consists of an outer loop, in which there are inner Newton loops to implicitly sequentially solve the pressure sub-problems. In standard SFI, sub-problems usually solved with tight tolerances at every iteration. This can result wasted computations tha...

A dynamic treatment regime is a sequence of decision rules, each corresponding to a decision point, that determine that next treatment based on each individual's own available characteristics and treatment history up to that point. We show that identifying the optimal dynamic treatment regime can be recast as a sequential optimization problem and propose a direct sequential optimization method ...