Department of Applied Mathematics and Statistics
Off Campus Interdisciplinary Interactions
- Geometry of Rock Pores:
Brent Lindquist with Keith Jones of Brookhaven National Laboratory.
Investigation of the geometry of void space and its relation to
bulk properties of rock samples using X-Ray computed microtomographic
imaging and stochastic analyses. Analysis tools include medial axis
transform, graph theoretic techniques and network flow modeling and
2-point covariance functions.
- Geometry of Rock Pores:
Brent Lindquist with Joanne Fredrich of Sandia National Laboratory.
Investigation of the geometry of void space and its relation to fluid
flow through rock samples using Laser Confocal Microscopy imaging,
stochastic analyses, and lattice Boltzmann computations. Stochastic
analysis tools include medial axis transform, graph theoretic techniques
and network flow modeling and 2-point covariance functions.
- Computations of Elastic-Plastic Flow:
James Glimm, John Grove, Xiao Lin, and Bradley Plohr with
Los Alamos National Lab and the Army Research Lab.
The goal is to simulate elastic-plastic materials
subjected to large deformation at high strain rates,
using state-of-the-art numerical methods.
- Instabilities in Elastic-Plastic Flow:
James Glimm, John Grove, Hyun-Cheol Hwang, and Bradley Plohr
with Los Alamos National Lab. The goal is to understand the
effect of material strength on interface instabilities
arising when an elastic-plastic material is rapidly accelerated.
- Material Failure in Elastic Platic Flow:
James Glimm, John Grove, Hyun-Cheol Hwang, and Bradley Plohr
with Los Alamos National Lab and the Army Research Lab.
The goal is to study failure models in materials under high
stresses including the effect of void formation and merger,
shear banding, and cracking.
- Turbulent Mixing:
James Glimm, John Grove and Qiang Zhang and LANL.
The goal is to understand and model the behavior of the
mixing layer between two fluids subjected to acceleration.
Applications are: inertial confinement fusion, supernovae
and weather dynamics (gravity).
- Etching and Deposition of Chips:
James Glimm, Herbert Kranzer, John Pinezich,Santiago Simanca,
Dechun Tan, Folkert Tangerman, Glenn Vanderwoude and IBM.
Development of theory and simulation for studying the three dimensional
evolution of computer chips during the manufacturing process. Of
special interest are to predict the formation of defects
as a result of topographical processes.
- Molecular Dynamics and Materials Science:
Yuefan Deng with Oak Ridge National Lab and Plasma Physics Lab.
The goal is to model the deposition of
silicon and metals based on models for the dynamics of individual
molecules and to predict macroscopic quantities
of the deposit. Parallel computing is required
in order to study an as large as possible ensemble
of molecules.
- Machine Tool Routing:
Estie Arkin, Martin Held and Joe Mitchell.
The objective is to devise efficient algorithms for
machine tool motion.
- Statistics and Schizophrenia:
Nancy Mendell.
- Financial Modeling:
Michael Taksar.
The goal is to improve and mathematically understand
portfolio models.
- Robust Control of mechanical and electrical systems:
Michael Taksar.
This study is concerned with the development of
control algorithms for systems where noise is present.
- Flight control systems:
Zongli Lin with Air Force Wright Laboratory and
Air Force Institute of Technology. The goal is
to design feedback control laws for aircraft with
actuators that are limited both in position and rate.
- Crystal growth process control:
Zongli Lin with Department of Mechanical Engineering
at SUNY at Stony Brook. The goal is to control the
crystal growth process in order to achieve high quality
material and to reduce manufacturing costs.
- Themal spray process control:
Zongli Lin with Department of Materials Science at
SUNY at Stony Brook. The goal is to model and control
the thermal spray process in order to achieve high
quality material products and to reduce manufacturing costs.
- Control of Computer Harddisks:
Zongli Lin with Department of Electrical Engineering
at National Univbersity of Singapore. The goal is to
develop effective control algorithms for magnetic storage
systems.
- Control Theory and Engineering:
Zongli Lin with School of Electrical Engineering and
Computer Science at Washington State University and Technical
University of Einhoven, the Netherlands. The goal is to develop
new analysis and design tools for control systems.
- Flow in heterogeneous porous media:
James Glimm, LANL, Chevron and BP
- Geostatistics and characterization of heterogeneous porous media:
James Glimm, Brent Lindquist
- Manufacture of Fiber Reinforced Composite Materials:
James Glimm, Folkert Tangerman, Peter Jardine (Materials Science) and
Grumman Corporate Research center.
The goal of this project is to develop procedures for the manufacture
of void-free product by resin transfer molding.
- Virtual reality for CAD/CAM manufacturing systems:
Joe Mitchell, Martin Held and Boeing Corp
- Photonics, solar cells, semiconductor power
devices.
Charles Fortmann and Wayne Anderson (Department of Electrical and Computer Eng.
SUNY Buffalo).
- Solar cells, electronic tranport,
crystallization and ultra-highly scaled integrated circuits:
Charles Fortmann and Isamu Shimizu (Department of Electronic Chemistry, The
Graduate School, Tokyo Institute of TEchnology, Nagatsuda,
Midori-ku, Yokohama 227, Japan)
- Photonic crystals: Charles Fortmann and Ron Tonucci, Naval Research Labs, Washington DC.
- Solar cells,
silicon-crystallization:
Charles Fortmann and H. Wagner, KFA-Research center Juelich, Germany.
- Solar cells, photonics,
semiconductor power devices: Charles Fortmann and John Coleman, Plasma Physics Inc, Glenn Cove, NY.