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20182023
most citedA Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions

3 citations · 3 across the 2 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.NA2020

A Rotating-Grid Upwind Fast Sweeping Scheme for a Class of Hamilton-Jacobi Equations

Christian Parkinson

We present a fast sweeping method for a class of Hamilton-Jacobi equations that arise from time-independent problems in optimal control theory. The basic method in two dimensions u…