Novel convex and concave relaxations are proposed for the solutions of parametric ordinary
differential equations (ODEs), to aid in furnishing bounding information for deterministic …

A novel subgradient evaluation method is proposed for nonsmooth convex relaxations of
parametric solutions of ordinary differential equations (ODEs) arising in global dynamic …

Convex relaxations of functions are used to provide bounding information to deterministic
global optimization methods for nonconvex systems. To be useful, these relaxations must …

What is the minimum number of guesses needed on average to guess a realization of a
random variable correctly? The answer to this question led to the introduction of a quantity …

The robust design of performance/safety-critical process systems, from a model-based
perspective, remains an existing challenge. Hybrid first-principles data-driven models offer …

A dynamic model of a concentrating solar thermal array and thermal energy storage system
is presented that is differentiable in the design decision variables: solar aperture area and …

Die vorliegende Arbeit entstand während meiner Zeit als wissenschaftlicher Mitarbeiter am
Lehrstuhl für Systemverfahrenstechnik (SVT) der RWTH Aachen. Mein Dank gilt zuallererst …

Tumor microenvironment (TME) normalization improves efficacy by increasing anticancer
nanocarrier delivery by restoring transvascular pressure gradients that induce convection …

We present GALINI, an open source solver for nonconvex mixed-integer quadratically-
constrained quadratic programs formulated with the Python algebraic modeling library …

In the first part of this thesis, we present a general technique for establishing local and
uniform continuity bounds for Schur concave functions. Our technique uses a particular …