17 citations · 22 across the 9 of their papers we have counts for
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math.NA2023
Efficient and Scalable Path-Planning Algorithms for Curvature Constrained Motion in the Hamilton-Jacobi Formulation
Christian Parkinson, Isabelle Boyle
We present a partial-differential-equation-based optimal path-planning framework for curvature constrained motion, with application to vehicles in 2- and 3-spatial-dimensions. This…
math.AP2023
Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior
Christian Parkinson, Weinan Wang
Recent work from public health experts suggests that incorporating human behavior is crucial in faithfully modeling an epidemic. We present a reaction-diffusion partial differentia…