We present an overview of novel numerical methods for chemical equilibrium and kinetic
calculations for complex non-ideal multiphase systems. The methods we present for …

Chemical engineering applications have been a source of challenging optimization
problems for over 50 years. For many chemical process systems, detailed steady state and …

We present a primal-dual interior-point algorithm with a filter line-search method for
nonlinear programming. Local and global convergence properties of this method were …

One of the most effective methods for nonlinearly constrained optimization generates steps
by solving quadratic subproblems. This sequential quadratic programming (SQP) approach …

This is a book for people interested in solving optimization problems. Because of the wide
(and growing) use of optimization in science, engineering, economics, and industry, it is …

Interior methods are an omnipresent, conspicuous feature of the constrained optimization
landscape today, but it was not always so. Primarily in the form of barrier methods, interior …

Line search methods are proposed for nonlinear programming using Fletcher and Leyffer's
filter method [Math. Program., 91 (2002), pp. 239--269], which replaces the traditional merit …

Augmented Lagrangian methods with general lower-level constraints are considered in the
present research. These methods are useful when efficient algorithms exist for solving …

Nonlinear programming (NLP) has become an essential tool in process engineering,
leading to profit gains through improved plant designs and better control strategies. The …

Following on the popularity of dynamic simulation for process systems, dynamic optimization
has been identified as an important task for key process applications. In this study, we …