We establish existence, derive necessary conditions, and construct and test an algorithm for the maximization of a column's Euler buckling load under a variety of boundary conditions over a general class of admissible ...

The goal of these notes is to provide a consistent mathematical foundation for wave imaging - the production of images from measurements of reflected waves in heterogeneous media. This account is inspired mostly by reflection ...

If one solves an infinite dimensional optimization problem by introducing discretizations and applying a solution method to the resulting finite dimensional problem, one often observes a very stable behavior of this method ...

This paper describes an approach to constructing derivative-free parallel algorithms for unconstrained optimization which are easy to implement on parallel machines. A special feature of this approach is the ease with which ...

The author recently introduced a new class of cutting planes for integer programs called Fenchel cuts which distinguish themselves from more conventional cuts in that they are generated by directly seeking to solve the ...

The simplified Newton method reduces the work required by Newton's method per iteration by reusing the initial Jacobian matrix. However, fast convergence is sacrificed. The level-m composite Newton method attempts to balance ...

A domain decomposition algorithm for numerically solving the heat equation in one and two space dimensions is presented. In this procedure, interface values between subdomains are found by an explicit finite difference ...