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Computational Geometric Mechanics @ Purdue
Research Objectives
The computational geometric mechanics group at Purdue is focused on developing a self-consistent discretization of geometry and mechanics to enable the systematic construction of geometric structure-preserving numerical schemes based on the approach of geometric mechanics, with a view towards obtaining more robust and accurate numerical implementations of feedback and optimal control laws arising from geometric control theory.
Affiliations and Rankings
The group is housed in the Department
of Mathematics within the College of Science at Purdue University, and is affiliated with
the Center for Computational and
Applied Mathematics, and the Computational Science and Engineering
Program.The graduate program is ranked 19th in the nation
in applied mathematics, and 28th
in the nation in mathematics by
U.S. News and World
Report. Furthermore, we are ranked 5th
in computational science by The
Chronicle of Higher
Education's 2007 Faculty
Scholarly Productivity
Index.
Funding
The activities
of the group are partially funded by research grants from the National Science Foundation in applied and computational mathematics:
Group Members
- Prof. Melvin Leok, assistant professor of mathematics. [ Thesis | Collected works ]
- Dr.
Diana Sosa Martín, visiting assistant professor of mathematics.
- Tomoki Ohsawa, visiting mathematics graduate student from the University of Michigan.
- Wooi-Chen Ng, summer undergraduate research assistant.
Affiliated and Alumni Members
- Dr. Taeyoung Lee,
Ph.D. in Aerospace Engineering (Michigan), currently
an
assistant professor of mechanical and aerospace engineering, Florida Institute of
Technology. [ Thesis ]
- Masako Kishida,
M.S. in Applied and Interdisciplinary Mathematics
(Michigan),
currently a Ph.D. student in Mechanical Engineering at UIUC.
- Nathan Orlow, NSF REU student.
- Charles Roldan, NSF REU student.
Research Opportunities
-
Postdoctoral and
Graduate Positions Available in the Computational Geometric
Mechanics @ Purdue group
Research positions for postdoctoral scholars
and graduate students, and are available in the broad
area of geometric numerical
methods in geometric mechanics and control.
- Academic
and Industrial, Science and Engineering Collaborations
Welcomed
We are constantly on the lookout for interesting and challenging
collaborations with scientists and engineers from academia or industry.
If you have an interesting application for which geometric
numerical methods might be relevant, please feel free to contact us.
Much of our theoretical work is motivated by specific applications.
To paraphrase William Morris, "Have nothing in your [mathematics] that
you do not know to be useful, or believe to be beautiful."
Relevant Courses
