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Victor, Collin

  1. Continuous Data Assimilation with a Moving Cluster of Data Points for a\n Reaction Diffusion Equation: A Computational Study
    2018/12/04 by Adam Larios, Larios, Adam, Collin Victor +1 · 1 citation
    Computer Science · Economics, Econometrics and Finance · Mathematics · #34D06 #35K40 #35K57 #35K61 #35Q93 #37C50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Number Theory (math.NT) #Optimization and Control (math.OC) #Stochastic processes and financial applications
  2. Application of Continuous Data Assimilation in High-Resolution Ocean Modeling
    2023/08/04 by Larios, Adam, Petersen, Mark R., Victor, Collin · 1 citation
    #34D06 #35Q86 #35Q93 #37N10 #86A05 #93C20 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph)
  3. The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations
    2023/03/06 by Adam Larios, Yuan Pei, Larios, Adam +3 · 1 citation
    Earth and Planetary Sciences · Engineering · #Meteorological Phenomena and Simulations #Fluid Dynamics and Turbulent Flows #Precipitation Measurement and Analysis
  4. An Assessment of Ensemble Kalman Filter and Azouani-Olson-Titi Algorithms for Data Assimilation: A Comparative Study
    2024/07/24 by Ning, Ning, Victor, Collin · 1 citation
    #34D06 #35Q93 #37N10 #62F15 #93C20 #93E11 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
  5. On the inadequacy of nudging data assimilation algorithms for non-dissipative systems
    2024/11/13 by Edriss S. Titi, Collin Victor, Titi, Edriss S. +1 · 1 citation
    Earth and Planetary Sciences · Engineering · #34D06 #35Q53 #35Q93 #37N35 #93C20 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Geophysics and Gravity Measurements #Mathematical Physics (math-ph) #Meteorological Phenomena and Simulations #Optimization and Control (math.OC)