Optimality systems and their linearizations arising in optimal control of partial differential equations with pointwise control and (regularized) state constraints are considered. ...
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint
The solution of elliptic diffusion operators is the computational bottleneck in many simulations in a wide range of engineering and scientific disciplines. We present a truly sca...
Mark F. Adams, Harun H. Bayraktar, Tony M. Keaveny...
— Multi-slot resource scheduling in a general two dimensional wireless ad hoc network, is a hard problem with no known polynomial-time solution. Recent optimization theoretic ana...
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...