85 citations · 108 across the 9 of their papers we have counts for
9 papers
Increasing student engagement in math placement and preparation
Debra Lewis
Math placement is a crucial step between admission and full engagement with the university for students in STEM majors. Students' placement experiences influence not only their mat…
A soothing invisible hand: moderation potentials in optimal control
Debra Lewis
A moderation incentive is a continuously differentiable control-dependent cost term that is identically zero on the boundary of the admissible control region, and is subtracted fro…
A characterization of normal forms for control systems
Boumediene Hamzi, Jeroen S. W. Lamb, Debra Lewis
The study of the behavior of solutions of ODEs often benefits from deciding on a convenient choice of coordinates. This choice of coordinates may be used to "simplify" the function…
Relative Critical Points
Debra Lewis
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the sym…
Geometric integration on spheres and some interesting applications
Debra Lewis, Nilima Nigam
Geometric integration theory can be employed when numerically solving ODEs or PDEs with constraints. In this paper, we present several one-step algorithms of various orders for ODE…
Optimal control with moderation incentives
Debra Lewis
A purely state-dependent cost function can be modified by introducing a control-dependent term rewarding submaximal control utilization. A moderation incentive is identically zero…