Trenchea's Research

Dr. Trenchea’s expertise lies in the numerical analysis of semidiscrete and fully discrete space-time discretizations of control problems, convergence and error estimates, and the development of numerical algorithms for finding the optimal solutions. He is an expert on control theory in the abstract infinite dimensional space framework, the use of analysis and control theory for proving existence of optimal solutions (i.e., solutions that minimize the cost functional and satisfy the state equation), and getting necessary conditions of optimality for the continuous control problem.

Contact Us

The Dietrich School of
Arts and Sciences
301 Thackeray Hall
Pittsburgh, PA 15260
Phone: 412-624-8375
Fax: 412-624-8397


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