The nonlinear solvers in numerical solution of water flow in variably saturated soils are prone to convergence difficulties. Many aspects can give rise to such difficulties, like very dry initial conditions, a steep pressure gradient and great variation of hydraulic conductivity occur across the wetting front during the infiltration of water.  So, the averaging method applied to compute hydraul...

In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the arithmetic-geometric mean established in [10].

Prioritized default rules o er a conveniently higher level of speci cation that facilitates revision and modularity. They handle con icts, including arising during updating of rule sets, using partially-ordered prioritization information that is naturally available based on relative speci city, recency, and authority. Despite having received much study, however, they have had as yet little impa...