Craig, Katy
- Primal dual methods for Wasserstein gradient flows
2019/01/23 by José A. Carrillo, Katy Craig, Carrillo, Jose A. +5 · 7 citations
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Numerical methods in inverse problems
- Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
2018/10/08 by José A. Carrillo, Carrillo, Jose A., Katy Craig +3 · 6 citations
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical Analysis (math.NA) #Stochastic processes and statistical mechanics
- A Blob Method for the Aggregation Equation
2014/05/25 by Craig, Katy, Bertozzi, Andrea L. · 3 citations
#35Q35 35Q82 65M15 82C22 #FOS: Mathematics #Numerical Analysis (math.NA)
- A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
2022/02/25 by Craig, Katy, Elamvazhuthi, Karthik, Haberland, Matt +1 · 3 citations
#35Q35 (Primary) 35Q62 #35Q68 #35Q82 #65M12 #82C22 #93A16 (Secondary) #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Nonlocal Approximation of Slow and Fast Diffusion
2023/12/18 by Craig, Katy, Jacobs, Matt, Turanova, Olga · 3 citations
#35A15 #35Q35 #35Q62 #35Q70 #82C22 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Multi-scale Optimal Transport for Complete Collider Events
2025/01/18 by Cai, Tianji, Nathaniel Craig, Craig, Nathaniel +4 · 2 citations
Engineering · #Advanced X-ray and CT Imaging #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)
- A Blob Method for Mean Field Control With Terminal Constraints
2024/02/15 by Katy Craig, Karthik Elamvazhuthi, Craig, Katy +3 · 2 citations
Computer Science · Engineering · Mathematics · #35Q35 #35Q62 #35Q82 #49M41 #49N80 #65M12 #82C22 #93A16 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Electrical engineering #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- Vector valued optimal transport: from dynamic to static formulations
2025/05/06 by Craig, Katy, Trillos, Nicolás García, Nikolić, Đorđe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Metric Geometry (math.MG)