collaborators

5 papers

math.OC2026

Reachability-Based Design Optimization for Aircraft Maneuverability

Steven Nguyen, Nicholas Orndorff, Jorge Cortés +1

This paper presents a method for incorporating control analysis into design optimization for highly-maneuverable aircraft. By studying reachable sets for aircraft dynamics, we ensu…

cs.CE2024

Extension of graph-accelerated non-intrusive polynomial chaos to high-dimensional uncertainty quantification through the active subspace method

Bingran Wang, Nicholas C. Orndorff, Mark Sperry +1

The recently introduced graph-accelerated non-intrusive polynomial chaos (NIPC) method has shown effectiveness in solving a broad range of uncertainty quantification (UQ) problems…

math.OC2024

Air-taxi trajectory optimization with aerodynamic and motor models

Nicholas C. Orndorff, John T. Hwang

To fulfill the vision for large-scale urban air mobility, air-taxi concepts must be carefully designed and optimized for their intended mission. Proposed air-taxi missions contain…

cs.CE2024

A gradient-enhanced univariate dimension reduction method for uncertainty propagation

Bingran Wang, Nicholas C. Orndorff, Mark Sperry +1

The univariate dimension reduction (UDR) method stands as a way to estimate the statistical moments of the output that is effective in a large class of uncertainty quantification (…

cs.CE2024

Graph-accelerated non-intrusive polynomial chaos expansion using partially tensor-structured quadrature rules for uncertainty quantification

Bingran Wang, Nicholas C. Orndorff, John T. Hwang

Recently, the graph-accelerated non-intrusive polynomial chaos (NIPC) method has been proposed for solving uncertainty quantification (UQ) problems. This method leverages the full-…