Computational Applied Mathematics

List of Computational Applied Mathematics preprints

List of PhD Theses

The computational applied mathematics area of the department has two major overlapping themes: computational fluid dynamics and high-performance scientific computing.

Computational Fluid Dynamics The fluid dynamics group, headed by James Glimm, Yuefan Deng, Xiaolin Li, Roman Samulyak, Jim Jiao and two postdocs. Three mathematicians at Los Alamos, John Grove, Richard Holmes and David Sharp, work closely with this group and co-advise doctoral students. The group's major focus is the interaction of nonlinear waves associated with systems of hyperbolic conservation laws and related stochastic phenomena. Nonlinear waves arise in a diverse spectrum of physical processes, including diffraction of shock waves through material surfaces, enhanced recovery of oil, climate modeling, lung function, transport of pollutants in ground water, and design of particle accelerators. 

High Performance Scientific Computing and Numerical Analysis: The Applied Math Department has departmental computing resources second to none. In 2006, the department helped the University acquire a 3Tf cluster from IBM called the Seawulf Cluster; Applied Math is the University leader in the use of this machine. This link gives more information about Seawulf and getting an account on it, Then in 2007, New York State acquired a 100Tf IBM Blue Gene machine to foster technology-based industry on Long Island. At the time of its installation, it was the sixth fastest supercomputer in the world. Stony Brook and Brookhaven National Laboratory (which is administered for the Department of Energy by Stony Brook) are the co-owners of the machine. Applied Math chair Jim Glimm is a scientific director of the New York Center for Computational Center which manages the Blue Gene machine.

Yuefan Deng and Xiaolin Li have led this development of parallel computing hardware and software systems. The primary users of the high-performance computing facilities are members of the computational fluid dynamics group and the computational biologists. Over a dozen interdisciplinary problem areas are being pursued in this effort, including genome sequencing, manufacturing processes, fluid flow, molecular dynamics, semiconductor fabrication, crack propagation, climate modeling, and modeling financial markets. Stony Brook faculty have pioneered an important new methodology, called front tracking, for numerically studying shock waves. Front tracking has been adopted by the Department of Energy for many of its fluid dynamics calculations, including simulating nuclear explosions.

List of Research Partners of Computational Applied Mathematics faculty

List of Research Projects in Scientific Computing of all Applied Mathematics faculty