Modifications to a stochastic differential equation (SDE) approach for modeling single and two phase NAPL flow are proposed which are intended to allow SDE modeling of the motion of air bubbles in porous media. Bubble flow and channeling are discussed along with bubble sticking, bubble coalescing, bubble breakup and air sparging.

We consider a stochastic differential equation (SDE) with piecewise linear drift driven by a spectrally one-sided Lévy process. We show that this SDE has some connections with queueing and storage models, and we use this observation to obtain the invariant distribution.

This work concerns continuous-time, continuous-space stochastic dynamical systems described by differential equations (SDE). It presents a new approach to compute probabilistic safety regions, namely sets of initial conditions the SDE associated trajectories that are safe with probability larger than given threshold. The introduces functional is minimised at border region, then solves an optimi...

‎in this work we prove malliavin differentiability for the solution to an sde with locally lipschitz and semi-monotone drift‎. ‎to prove this formula‎, ‎we construct a sequence of sdes with globally lipschitz drifts and show that the $p$-moments of their malliavin derivatives are uniformly bounded‎.

An advanced series resistance model is developed to accurately predict source/drain (S/D) series resistance of complementary metal-oxide semiconductor (CMOS) in the nanometer regime. The series resistance is modeled by dividing into four resistance components named SDE-to-gate overlap, S/D extension, deep S/D, and silicide-diffusion contact resistance considering the nonnegligible doping-depend...

Many SDEs (Software Development Environments) have been built to help increase software productivity. However, these systems often have several de ciencies: inability to operate/act on external data; hardwired behaviors; and nally lack of a universal remote access mechanism for geographically distributed users. In this paper we rst introduceOzWeb , a system which combines the elements of SDE, W...

Work on computer supported cooperative work (CSCW) has provided tools that let several users work concurrently on objects, e.g. collaborative editors. A general SDE will not include such tools, but it should allow and support use of CSCW tools on objects handled by the SDE. More important is support for situations where users knowingly work on common objects in isolation for a period before the...

We have investigated the problem of immigrating software artifacts from one software development environment (SDE) to another for the purpose of upgrading to new SDEs as technology improves, while continuing development or maintenance of existing software systems. We rst taxonomize the larger problem of data migration, to establish the scope of immigration. We then classify SDEs in terms of the...