AM Research Groups
Numerical analysis and partial differential equations
- Large-scale scientific computing
- Nonlinear dynamics
- Biomathematics
- Atmosphere, ocean, and climate modeling
- Geophysical/geological fluid dynamics
- Planetary science
Current research encompasses analytical and numerical analysis of partial differential equations, large-scale scientific computation, fluid dynamics, dynamical systems and chaos, as well as applications to various fields of physics and biology. The applications to physics include condensed-matter physics, plasma physics, medical imaging, and the earth sciences, notably atmospheric, oceanic, and climate science, and solid earth geophysics (see below). The applications to biology include cellular biophysics, machine learning, and functional genomics, including collaborations with Columbia's Center for Computational Biology and Bioinformatics (C2B2), the Center for Computational Learning Systems (CCLS), the NIH-funded Center for Multiscale Analysis of Genomic and Cellular Networks (MAGNet), and the NIH-funded Nanomedicine Center for Mechanics in Regenerative Medicine. Extensive collaborations exist with national climate research centers (e.g., the Geophysical Fluid Dynamics Laboratory and the National Center for Atmospheric Research) and with national laboratories of the U.S. Department of Energy, custodians of the nation's most powerful supercomputers