My current research focuses on studying an algorithm for data assimilation applied to equations of fluid dynamics. I am also interested in numerical schemes used to simulate PDEs, particularly for turbulent fluids. I’m also interested in application of data assimilation, particularly in geophysics. Peridynamics is also a recent interest of mine.

• Partial Differential Equations
• Computational Fluid Dynamics
• Numerical Analysis
• Data Assimilation
  • Applications in geophysics
• Peridynamics

1. T. Franz, A. Larios, C. Victor. The bleeps, the sweeps, and the creeps: Convergence rates for dynamic observer patterns via data assimilation for the 2D Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 392 (2022): 114673
2. D. Foster, B. Frost-LaPlante, J. Restrepo, C. Victor, Gradient Sensing via Cell Communication. Physical Review E 103.2 (2021): 022405
3. A. Larios, C. Victor, Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study. Commun. Comput. Phys., 29 (2021), 1273-1298