Data assimilation and inverse problem for fluid traffic flow models and algorithms

This article deals with traffic data assimilation and algorithms that are able to predict the traffic flow on a road section. The traffic flow is modellized by the Aw–Rascle hyperbolic system. We have to minimize a functional whose optimization variables are initial condition. We use the Roe method to compute the solution to the traffic flow modelling system. Then we compute the gradient of the functional by an adjoint method. This gradient will be used to optimize the functional. Copyright © 2008 John Wiley & Sons, Ltd.     

一种新的投影型变分不等式交替方向方法

本文提出了一种投影型的变分不等式交替方向方法,此方法从三个方面改进了其他相关文献中的方法。在相同条件下,我们证明了此方法的全局收敛性。