Biros's research interests include the following:
* Fast numerical methods and parallel algorithms for problems in data analysis (e.g., machine learning, inverse problems, uncertainty quantification), and simulation (e.g., computational fluid mechanics, materials science, biophysical modeling).
* Medical image analysis and its integration with biophysical modeling (e.g, computational oncology, image registration and segmentation).
* Fast algorithms for simulation of complex fluids (e.g, flows in porous media, blood flow in microcirculation, vesicle flows, Stokesian
particulate flows, additive manufacturing, plasmas).