- Asymptotic Analysis and Perturbation Methods --
mathematical methods to find approximation solutions when
exact solutions are not available
Faculty whose research involves asymptotic analysis and
perturbation methods:
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- Dynamical Systems -- study of mathematical "rules"
that govern the change of functions over time
Faculty whose research involves dynamical systems:
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- Free Boundary Problems -- the mathematical study of
differential equations in a domain whose boundary changes
over time
Faculty whose research involves free boundary problems:
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- Inverse Problems -- the mathematical study of
reconstructing parameters of a physical model from measured
data
Faculty whose research involves inverse problems:
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- Nonlinear Analysis -- study of nonlinear partial
differential equations
Faculty whose research involves nonlinear analysis:
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- Numerical Analysis and Scientific Computing --
using computers to analyze problems in science and
engineering
Faculty whose research involves numerical analysis and
scientific computing:
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- Waves in random media -- study of partial
differential equations governing waves in a medium that
fluctuates randomly
Faculty whose research involved waves in random media:
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- Acoustics -- mathematical description of sounds
waves in various environments
Faculty Research in Acoustics
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- Biomathematics -- modeling biological systems using
mathematical techniques and tools
Faculty Research in Biomathematics
- Ajay
Gopinathan (biopolymer systems: kinetics,
structure and function)
- Mayya Tokman
(modeling experimental manipulations of biomolecular
structure of living cells)
- Jeff
Yoshimi (dynamics of consciousness, neural
networks)
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- Computer graphics and animation -- developing
algorithms for learning and planning complex
motions.
Faculty Research in Computer Graphics
- Marcello
Kallmann (representations of the perceived
environment which are suitable for learning and
reusing movements)
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- Environmental Problems -- using mathematical
tools and techniques to investigate problems that have
direct impact on our understanding of the
environment.
Faculty Research in Environmental Problems
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- Economics Problems -- using mathematical tools and
techniques to investigate problems in economics.
Faculty Research in Economics Problems
- Katie Winder
(labor economics, applied econometrics, economics of
gender and poverty)
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- Fluid Dynamics -- mathematical study of the
macroscopic behavior of fluids and gases
Faculty Research in Fluid Dynamics
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- Image Processing -- the study of extracting
features from image data
Faculty Research in Image Processing
- Shawn Newsam
(pattern recognition, machine learning, content-based
information retrieval, etc.)
- Arnold D. Kim
(diffuse optical tomography, optical molecular
imaging)
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- Mathematical Physics -- studying physics within a
mathematically rigorous framework
Faculty Research in Mathematical Physics
- Raymond Chiao (coupling between electromagnetic
and gravitational radiations by means of quantum
many-body systems)
- Kevin
Mitchell (chaotic ionization of hydrogen in
electric and magnetic fields)
- Mayya Tokman
(large scale behavior of astrophysical and laboratory
plasmas including evolution of coronal loops in the
solar atmosphere and plasma configurations arising in
fusion related experiments)
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- Wireless Networks -- studying the communication
between spatially distributed autonomous devices
Faculty Research in Wireless Networks
- Alberto Cerpa
(wireless sensor networks, with emphasis in wireless
radio channel measurement and characterization,
modeling, routing algorithms, network
self-configuration, topology control, programming
models, and development of wireless testbeds)
- Arnold D. Kim
(wireless communication systems in high
delay-spread/bandwidth environments)
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