Direct search methods are best known as unconstrained optimization techniques that do not
explicitly use derivatives. Direct search methods were formally proposed and widely applied …

We give a pattern search method for nonlinearly constrained optimization that is an adaption
of a bound constrained augmented Lagrangian method first proposed by Conn, Gould, and …

We present an optimal control approach for the solidification process of a melt in a container.
The process is described by a two phase Stefan problem with the free boundary (interface …

In order to laminarize an unsteady, internal flow, the vorticity field is minimized, in a least-
squares sense, using an optimal-control approach. The flow model is the Navier--Stokes …

We provide an effective and efficient implementation of a sequential quadratic programming
(SQP) algorithm for the general large scale nonlinear programming problem. In this …

In this paper we give a global convergence analysis of a basic version of an SQP algorithm
described in [PT Boggs, AJ Kearsley, and JW Tolle, SIAM J. Optim., 9 (1999), pp. 755--778] …

Efficiently, robustly, and accurately solving systems of nonlinear differential algebraic
equations for dynamic building system simulation is becoming more important due to the …

The problem of choosing an optimal signal set for non-Gaussian detection was reduced to a
smooth inequality constrained mini-max nonlinear programming problem by Gockenbach …

Three years of large-scale PDE-constrained optimization research and development are
summarized in this report. We have developed an optimization framework for 3 levels of …

Identifying a maximally separated setof signals is important in the design of modems. The
notion of optimality is dependent on the model chosen to describe noise in the …