Mobile Edge Computing (MEC) is considered an essential future service for the
implementation of 5G networks and the Internet of Things, as it is the best method of …

The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

Semiconcavity is a natural generalization of concavity that retains most of the good
properties known in convex analysis, but arises in a wider range of applications. This text is …

We present serial and parallel algorithms for solving a system of equations that arises from
the discretization of the Hamilton-Jacobi equation associated to a trajectory optimization …

In this paper we study the convergence of the Galerkin approximation method applied to the
generalized Hamilton-Jacobi-Bellman (GHJB) equation over a compact set containing the …

This study proposes a method based on Bayesian networks (BNs) to optimize the reliability
of gas supply in natural gas pipeline networks. The method integrates probabilistic safety …

Recent work by the authors and others has demonstrated the connections be-tween the
dynamic programming approach to two-person, zero-sum differential games and the new …

Hamilton-Jacobi equations and other types of partial differential equa tions of the first order
are dealt with in many branches of mathematics, mechanics, and physics. These equations …

Let~ c~ n be measurable and let z (l):~) R m be a given sequence of functions. The
fundamental theorem concerning Young measures asserts that under appropriate …

Road intersection is one of the most complex and accident-prone traffic scenarios, so it's
challenging for autonomous vehicles (AVs) to make safe and efficient decisions at the …