A new method for evaluating generalized derivatives in nonsmooth problems is reviewed.
Lexicographic directional (LD-) derivatives are a recently developed tool in nonsmooth …

A new strategy for the optimization of natural gas liquefaction processes is presented, in
which flowsheets formulated using nondifferentiable process models are efficiently and …

This article advocates a nonsmooth differential-algebraic equations (DAEs) modeling
paradigm for dynamic simulation and optimization of process operations. A variety of …

A novel subgradient evaluation method is proposed for nonsmooth convex relaxations of
parametric solutions of ordinary differential equations (ODEs) arising in global dynamic …

Global dynamic optimization problems are often represented as nonlinear optimization
problems with embedded parametric ordinary differential equations. Deterministic methods …

A recent nonsmooth vector forward mode of algorithmic differentiation (AD) computes
Nesterov's L-derivatives for nonsmooth composite functions; these L-derivatives provide …

The well-posedness of nonsmooth differential-algebraic equations (DAEs) is investigated.
More specifically, semi-explicit DAEs with Carathéodory-style assumptions on the differential …

This paper extends classical sensitivity results for nonlinear programs to cases in which
parametric perturbations cause changes in the active set. This is accomplished using …

Graph centrality measures have found widespread use ranking agents in networks by
characterizing their “importance” for the purpose of predicting and managing network …

Nonsmooth equation-solving and optimization algorithms which require local sensitivity
information are extended to systems with nonsmooth parametric differential–algebraic …