75 citations · 161 across the 11 of their papers we have counts for
14 papers
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Travis Askham, Carlos Borges, Jeremy Hoskins +1
Inverse obstacle scattering is the recovery of an obstacle boundary from the scattering data produced by incident waves. This shape recovery can be done by iteratively solving a PD…
Periodic Fast Multipole Method
Ruqi Pei, Travis Askham, Leslie Greengard +1
A new scheme is presented for imposing periodic boundary conditions on unit cells with arbitrary source distributions. We restrict our attention here to the Poisson, modified Helmh…
A Fast Integral Equation Method for the Two-Dimensional Navier-Stokes Equations
Ludvig af Klinteberg, Travis Askham, Mary Catherine Kropinski
The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In…
A boundary integral equation approach to computing eigenvalues of the Stokes operator
Travis Askham, Manas Rachh
The eigenvalues and eigenfunctions of the Stokes operator have been the subject of intense analytical investigation and have applications in the study and simulation of the Navier-…
Model selection for hybrid dynamical systems via sparse regression
Niall M Mangan, Travis Askham, Steven L Brunton +2
Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely…
A Unified Framework for Sparse Relaxed Regularized Regression: SR3
Peng Zheng, Travis Askham, Steven L. Brunton +2
Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific…