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Florian A. Potra
office phone: (410)455-2429
secretary: (410)455-2412
fax: (410)455-1066
e-mail:
potra@math.umbc.edu
Areas of research interest:
- Robotics.
- Numerical Optimization.
- Numerical solution of nonlinear differential and integral
equations.
- Applied functional analysis.
- Numerical algorithms for parallel computers.
- Bioinformatics.
Editorship
- Associate Editor, SIAM Journal on Optimization (1991-1999),
- Associate Editor, Journal of Optimization Theory and Applications
(since 1991),
- Regional Editor for the Americas, Optimization Methods and
Software (since 1997)
- Associate Editor,
Numerical Functional Analysis and Optimization (since 1999).
- Associate Editor,
Optimization and Engineering (since 1999).
Honors
- National award for best research paper in mathematics of a Romanian college
student, 1972.
- Andrew Mellon Postdoctoral Fellowship, 1982.
Old Gold Fellowship, 1984.
- James Van Allen Fellowship in Natural Sciences, 1991.
- Professional Engineering Publishing Award of the Editorial Board
of Journal of Multi-body Dynamics, 2003.
Teaching Fall 2013
MATH 301
MATH 221
Recent Presentations in PDF:
Interior Point Methods
Protein Image Alignment via
Quadratic Programming
Full vita in pdf .
Research Summary (1994-2010) in pdf.
An NSF Workshop on Mathematics and Robotics
pdf.
Software
Click here
to download KPP - a kinetic preprocessor for atmospheric chemistry.
OOLCP, an object oriented solver for linear complementarity problems:
documentation
and
software
Selected Publications
F.A. Potra and S.J. Wright: Interior-point methods,
Journal of Computational and
Applied Mathematics, 124(2000), 281--302.
pdf
F.A. Potra: Q-superlinear convergence of the iterates in primal-dual
interior-point methods, Mathematical Programming, Ser. A, 91(2001),
99--115. pdf
M. Anitescu and F.A. Potra: A time-stepping method for stiff multibody dynamics
with contact and friction , International J. Numer. Methods
Engineering, 55, 7(2002), 753--784 pdf
F.A. Potra: The Mizuno-Todd-Ye algorithm in a larger neighborhood of
the central path, European Journal of Operational Research, 143(2002),
257--267.
pdf
A. Sandu, D. Negrut, E.J. Haug, F.A. Potra and C. Sandu) A
Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic
Analysis of Mechanical Systems: {I} -- Theoretical Formulation,
Journal of Multi-body Dynamics, (2003), 217, 4(2003), 263--271.
pdf
D. Negrut, A. Sandu, E.J. Haug, F.A. Potra and C. Sandu) A
Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic
Analysis of Mechanical Systems: {II} -- The Method and Numerical
Examples, Journal of Multi-body Dynamics, (2003), 217, 4(2003),
273--281. pdf
F.A. Potra: A superlinearly convergent predictor-corrector method for degenerate LCP
in a wide neighborhood of
the central path with $O(\sqrt{n}L)$-iteration complexity,
Mathematical Programming,
Ser. A, 100, 2(2004), 317--337. CORRECTED: February, 2006.
pdf
F.A. Potra: Erratum: A superlinearly convergent predictor-corrector
method for degenerate LCP in a wide neighborhood of the central path
with $O(\sqrt{n}L)$-iteration complexity, March 2006. PDF
F.A. Potra: Corrector-predictor methods for monotone linear complementarity
problems in a wide neighborhood of the central path, Technical Report,
UMBC, September 2004, Revised: February, 2006. pdf
F.A. Potra: The Kantorovich Theorem and interior point methods,
Mathematical Programming, Ser. A, 102, 1(2005), 47--70.
pdf
F.A. Potra and X. Liu: Predictor-corrector methods for sufficient linear
complementarity problems in a wide neighborhood of
the central path, Optimization Methods and Software,
20, 1 (2005), 145--168, CORRECTED: March 2006. PDF
F.A. Potra and X. Liu: Erratum: Predictor-corrector methods for sufficient linear
complementarity problems in a wide neighborhood of
the central path, March 2006. PDF
X. Liu and F.A. Potra: Corrector-predictor methods for sufficient linear
complementarity problems in a wide neighborhood of the central
path, January 2005, Revised: March 2006. PDF
F.A. Potra, X. Liu, F. Seillier-Moiseiwitsch, A. Roy, Y. Hang, M. R.
Marten, B, Raman, and C. Whisnant: Protein Image Alignment via
Piecewise Affine Transformations. PDF
F.A. Potra and X. Liu: Aligning families of 2D-gels by a combined
hierarchical forward-inverse transformation approach. PDF
F.A. Potra and X. Liu:
Protein Image Alignment via Tensor Product Cubic Spline. PDF
D.E. Gilsinn and F.A. Potra: Integral operators and delay differential
equations. PDF
F.A. Potra, M. Anitescu, B. Gavrea and J. Trinkle:
A linearly implicit trapezoidal method for integrating stiff multibody dynamics with
contact, joints and friction. PDF
F.A. Potra: Primal-dual affine scaling interior point methods for linear
complementarity problems. PDF
B. Gavrea, M. Anitescu and F.A. Potra: Convergence of a class of
semi-implicit time-stepping schemes for nonsmooth rigid multibody
dynamics, Preprint ANL/MCS-1378-1006 PDF