Keaton Burns
Ioannis P. A. Papadopoulos
I'm an Associate Research Scientist in the Center for Computational Mathematics and the Center for Computational Biology at the Flatiron Institute interested in numerical analysis and scientific computing. I received my Ph.D. in applied mathematics from Harvard University, where I was advised by professors Alex Townsend and Chris Rycroft . My research focuses on spectral methods, fast methods for PDEs, computational fluid & solid mechanics, and multigrid methods. In the past, I have worked at Walt Disney An
In collaboration with Alex Townsend , I have developed spectrally accurate Poisson solvers for the square, cylinder, solid sphere, and cube that have optimal complexity (up to polylogarithmic factors). The solver is based on the ultraspherical polynomials and the alternating direction implicit (ADI) method.
In collaboration with Chris Rycroft and Robert Saye , I am developing a high-order Eulerian method for fluid–solid interaction based on the discontinuous Galerkin and level set methods.
Keaton Burns
Ioannis P. A. Papadopoulos