The Applied Data Assimilation & Parameter Tracking (ADAPT) group is dedicated to developing theoretical analysis of data assimilation assimilation methods complemented with thorough numerical studies in the hope of building a comprehensive understanding of such methods based on mathematical and computational rigor. Although our initial motivation for our investigations have mostly arisen from the context of turbulent fluid flow, as modeled by the Navier-Stokes equations and related systems, our works have since expanded our scientific interests, for instance, to include problems related to modeling subgrid scale effects in geophysics, system identification, and generally, finding novel approaches or perspectives to data assimilation.
The ADAPT informally banded together during the COVID pandemic in 2020, when two research groups had discovered they were working on similar projects. These groups were fortuitously connected and arranged to meet over zoom. The result of these meetings was a joint resolution to the common problem they had independently been working on and a blossom of new problems to solve. The group has continued to meet ever since generating many ideas, attracting new researchers, and producing several subsequent results.
In spirit of collaboration and scientific transparency, we invite any and all interested to join our weekly meetings.
Get in touch with us at adapt@mathematics.byu.edu