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Christian Parkinson
Christian Parkinson
Assistant Professor, Mathematics and CMSE, Michigan State University
Verified email at msu.edu - Homepage
Title
Cited by
Cited by
Year
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
532021
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
152021
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
152020
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
152018
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
132019
A rotating-grid upwind fast sweeping scheme for a class of Hamilton-Jacobi equations
C Parkinson
Journal of Scientific Computing 88 (1), 13, 2021
122021
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
92020
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
62024
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
52022
An efficient semi-real-time algorithm for path planning in the hamilton–jacobi formulation
C Parkinson, K Polage
IEEE Control Systems Letters 7, 3621-3626, 2023
42023
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
42022
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
A Scalable Method for Optimal Path Planning on Manifolds via a Hopf-Lax Type Formula
E Huynh, C Parkinson
arXiv preprint arXiv:2412.13346, 2024
12024
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 lockdowns under constraints
JC Dagher, C Parkinson
Economic Inquiry 63 (2), 523-544, 2025
2025
A Hopf-Lax Type Formula for Multi-Agent Path Planning with Pattern Coordination
C Parkinson, A Baca
arXiv preprint arXiv:2503.20974, 2025
2025
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, SC Venkataramani
arXiv preprint arXiv:2309.08117, 2023
2023
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