In this paper, a spectral Petrov–Galerkin method is developed to solve an optimal control
problem governed by a two-sided space-fractional diffusion-reaction equation with additive …

Uncertainty is prevalent in engineering design, statistical learning, and decision making
broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to …

We discretize a risk-neutral optimal control problem governed by a linear elliptic partial
differential equation with random inputs using a Monte Carlo sample-based approximation …

Fractional Laplace equations are becoming important tools for mathematical modeling and
prediction. Recent years have shown much progress in developing accurate and robust …

This paper is interested in developing reduced order models (ROMs) for repeated simulation
of fractional elliptic partial differential equations (PDEs) for multiple values of the parameters …