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Christian Parkinson
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A multilayer network model of the coevolution of the spread of a disease and competing opinions
K Peng, Z Lu, V Lin, MR Lindstrom, C Parkinson, C Wang, AL Bertozzi, ...
Mathematical Models and Methods in Applied Sciences 31 (12), 2455-2494, 2021
452021
Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
S Pankavich, C Parkinson
arXiv preprint arXiv:1508.07617, 2015
162015
Modeling illegal logging in Brazil
B Chen, K Peng, C Parkinson, AL Bertozzi, TL Slough, J Urpelainen
Research in the Mathematical Sciences 8 (2), 29, 2021
132021
A model for optimal human navigation with stochastic effects
C Parkinson, D Arnold, A Bertozzi, S Osher
SIAM Journal on Applied Mathematics 80 (4), 1862-1881, 2020
112020
Modeling environmental crime in protected areas using the level set method
DJ Arnold, D Fernandez, R Jia, C Parkinson, D Tonne, Y Yaniv, ...
SIAM Journal on Applied Mathematics 79 (3), 802-821, 2019
112019
Optimal human navigation in steep terrain: a Hamilton-Jacobi-Bellman approach
C Parkinson, D Arnold, AL Bertozzi, YT Chow, S Osher
arXiv preprint arXiv:1805.04973, 2018
112018
A rotating-grid upwind fast sweeping scheme for a class of Hamilton-Jacobi equations
C Parkinson
Journal of Scientific Computing 88 (1), 13, 2021
92021
A Hamilton-Jacobi formulation for time-optimal paths of rectangular nonholonomic vehicles
C Parkinson, AL Bertozzi, SJ Osher
2020 59th IEEE Conference on Decision and Control (CDC), 4073-4078, 2020
82020
Efficient and scalable path-planning algorithms for curvature constrained motion in the Hamilton-Jacobi formulation
C Parkinson, I Boyle
Journal of Computational Physics 509, 113050, 2024
32024
Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior
C Parkinson, W Wang
SIAM Journal on Applied Mathematics 83 (5), 1969-2002, 2023
32023
Alternative SIAR models for infectious diseases and applications in the study of non-compliance
M Bongarti, LD Galvan, L Hatcher, MR Lindstrom, C Parkinson, C Wang, ...
Mathematical Models and Methods in Applied Sciences 32 (10), 1987-2015, 2022
32022
Time-optimal paths for simple cars with moving obstacles in the Hamilton-Jacobi formulation
C Parkinson, M Ceccia
2022 American Control Conference (ACC), 2944-2949, 2022
32022
A Novel Point Process Model for COVID-19: Multivariate Recursive Hawkes Process
B Chen, P Shrestha, AL Bertozzi, G Mohler, F Schoenberg
Predicting Pandemics in a Globally Connected World, Volume 1: Toward a …, 2022
32022
An Efficient Semi-Real-Time Algorithm for Path Planning in the Hamilton-Jacobi Formulation
C Parkinson, K Polage
IEEE Control Systems Letters, 2023
12023
Models for Human Navigation and Optimal Path Planning Using Level Set Methods and Hamilton-Jacobi Equations
CA Parkinson
University of California, Los Angeles, 2020
12020
Optimal Control of a Reaction-Diffusion Epidemic Model with Noncompliance
M Bongarti, C Parkinson, W Wang
arXiv preprint arXiv:2407.17298, 2024
2024
Discrete Differential Geometry for Hyperbolic Surfaces of Non-Constant Curvature
C Parkinson, S Venkataramani
arXiv preprint arXiv:2309.08117, 2023
2023
A Hamilton-Jacobi Formulation for Time-Optimal Paths of Rectangular Nonholonomic
C Parkinson, AL Bertozzi, SJ Osher
2020
Matrix Completion with Selective Sampling
C Parkinson, K Huynh, D Needell
2019 13th International conference on Sampling Theory and Applications …, 2019
2019
Optimal Human Navigation in Steep Terrain: a Hamilton-Jacobi-Bellman
C Parkinson, D Arnold, AL Bertozzi
2018
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Articles 1–20