
Research
Research in Mathematical Sciences is conducted under the auspices of the Center for Applied Mathematics and Statistics (CAMS).
Research in Mathematical Sciences is conducted under the auspices of the Center for Applied Mathematics and Statistics (CAMS).
CAMS members conduct research in a broad range of areas of applied mathematics, using, in particular, the techniques of scientific computation/numerical analysis, applied analysis and analysis of PDEs, mathematical modeling and asymptotics, dynamical systems theory, and statistics. The focus of CAMS research is roughly divided into five application areas (with significant overlap), listed below.
Mathematical Biology | |
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Experimental, Computational and Mathematical Neuroscience
Biological Fluid Dynamics
Developmental Biology
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![]() Calculated oxygen distributions in the tissue surrounding three-dimensional arrays of capillaries |
Members: Bose, Bukiet, Cummings, Diekman, Matveev, Muratov, Young (External Members: Booth, Bunker, Golowasch, Holzapfel, Huang, Miura, Nadim, Rotstein, Russell, Tao, Wylie) |
Fluid Dynamics | |
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Interfacial Flows
Multiphase and Reactive Flows
Numerical Methods and PDE Analysis
(see also Complex Flows and Soft Matter page) |
![]() Numerical simulation of the kinetics of droplet formation in polymer-liquid crystal mixtures |
Members: Afkhami, Bechtold, Blackmore, Booty, Bukiet, Choi, Cummings, Hamfeldt, Jiang, Kondic, Luke, Muratov, Petropoulos, Shirokoff, Siegel, Young (External Members: Diez, Huang, Meegoda, Papageorgiou, Rosato, Vanden-Broeck, Wylie) |
Linear and Nonlinear Waves | |
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Underwater Acoustics and Ocean Waves
Electromagnetics
Nonlinear Optics
Front Propagation
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![]() Ambiguity surface generated by matched field processing of an exhaustive search for unknown source range and depth |
Members: Bechtold, Boubendir, Choi, Goodman, Hamfeldt, Jiang, Michalopoulou, Moore, Muratov, Petropoulos, Shirokoff, Turc (External Members: Ahluwalia, Erneux, Kriegsmann, Papageorgiou, Russell, Vanden-Broeck) |
Materials Science | |
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Soft Matter
Energy Driven Pattern Formation
(see also Complex Flows and Soft Matter page) |
![]() Mesoscopic Model for Pattern Formation in Materials |
Members: Afkhami, Blackmore, Booty, Cummings, Kondic, Muratov, Shirokoff, Siegel, Young (External Members: Rosato, Wylie) |
Statistics | |
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Biostatistics
High dimensional data
Spatial statistics
Survival Analysis
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![]() The Mean Remaining Life function MRL(x) ≡ E(X-x | X > x) |
Members: Dhar, Fang, Guo, Loh, Subramanian, Wang (External Members: Johnson, Sverdlove) |
Updated: 2/6/18