research
∙
04/20/2023
Algebraic calming for the 2D Kuramoto-Sivashinsky equations
We propose an approximate model for the 2D Kuramoto-Sivashinsky equation...
share
research
∙
03/06/2023
The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations
We study different approaches to implementing sparse-in-time observation...
research
∙
10/20/2021
The Bleeps, the Sweeps, and the Creeps: Convergence Rates for Dynamic Observer Patterns via Data Assimilation for the 2D Navier-Stokes Equations
We adapt a continuous data assimilation scheme, known as the Azouani-Ols...
research
∙
05/13/2021
A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture
We introduce a general and fast convolution-based method (FCBM) for peri...
research
∙
06/12/2020
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations
We study a continuous data assimilation (CDA) algorithm for a velocity-v...
research
∙
05/09/2019