Date
Thu, 01 Mar 2001
Time
14:00 - 15:00
Location
Rutherford Appleton Laboratory, nr Didcot
Speaker
Prof Mark Stadtherr
Organisation
University of Notre Dame

Continuing advances in computing technology provide the power not only to solve

increasingly large and complex process modeling and optimization problems, but also

to address issues concerning the reliability with which such problems can be solved.

For example, in solving process optimization problems, a persistent issue

concerning reliability is whether or not a global, as opposed to local,

optimum has been achieved. In modeling problems, especially with the

use of complex nonlinear models, the issue of whether a solution is unique

is of concern, and if no solution is found numerically, of whether there

actually exists a solution to the posed problem. This presentation

focuses on an approach, based on interval mathematics,

that is capable of dealing with these issues, and which

can provide mathematical and computational guarantees of reliability.

That is, the technique is guaranteed to find all solutions to nonlinear

equation solving problems and to find the global optimum in nonlinear

optimization problems. The methodology is demonstrated using several

examples, drawn primarily from the modeling of phase behavior, the

estimation of parameters in models, and the modeling, using lattice

density-functional theory, of phase transitions in nanoporous materials.

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