Areas of Interest:
* Computational methods in dynamical
systems. The efficient and numerically stable use of QR type
factorizations in the computation of Lyapunov exponents.
* Feedback control of structures. Collocated and non-collocated
time delayed control of non-classically damped building structures under
the action of earthquakes.
* The use of computers in education. Solution of calculation
intensive problems through the use of computer algebra systems.
Education
Ph.D., Mechanical Engineering, University of Southern California,
Los Angeles, CA (Dec. 1999)
M.A., Applied Mathematics, University of Southern California, Los Angeles,
CA (Dec. 1999)
M.S., Mathematics, California State Polytechnic University, Pomona,
CA (Dec. 1992)
B.S., Aerospace Engineering, California State Polytechnic University,
Pomona, CA (June 1986)
Ph.D. Dissertation: ”On the computation of Lyapunov Characteristic Exponents”
Development of new schemes to compute the Lyapunov Characteristic Exponents
for discrete and continuous dynamical systems.
Publications:
Reviewed papers
Firdaus E. Udwadia and Hubertus F. von Bremen (to appear) "Computation of Lyapunov characteristic exponents for continuous dynamical systems", ZAMP.
Firdaus E. Udwadia and Hubertus F. von Bremen (2000, to appear) “An Efficient and Stable Approach for the Computation of the Lyapunov Characteristic Exponents for Continuous Dynamical Systems” Applied Mathematics and Computation.
Firdaus E. Udwadia, Hubertus F. von Bremen and Wlodek Proskurowski (2000, to appear) “A Note on the Computations of the Largest p LCE’s of Discrete Dynamical Systems” Applied Mathematics and Computation.
William A. Harris and Hubertus F. von Bremen (1998). “Using the Laplace transform to compute the matrix exponential” Journal of Mathematica in Research and Education, Volume 7, No. 2, pp. 35-36.
Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski (1997). “An efficient QR based method for the computation of Lyapunov exponents” Physica D, vol. 101, pp.1-16.
Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski (1997). “Computation of Lyapunov Exponents Using Householder Factorization” Revista Brasileira de Ciencias Mecanicas- Journal of the Braz. Soc. of Mechanical Sciences, vol. 19, No. 2, pp. 253-261.
Hubertus F. von Bremen and Scott J. Sportsman (1993). “Minimum Covering of a Bipartite Graph.” The Journal of Interdisciplinary Studies. Volume 6, Fall 1993. Published by The California State Polytechnic University, Pomona, CA.
Proceedings
Hubertus F. von Bremen and Firdaus E. Udwadia. “Can Time Delays Be Useful in the Control of Structural Systems?” (to appear) Proceedings of the 41st AIAA/ASME/ASCE/AHS/ Structures, Structural Dynamics, and Materials Conference & Exhibit, held at Atlanta, Georgia, April 3-6, 2000.
Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski. “An efficient computation of all and the largest p Lyapunov exponents”, appeared in Complex Dynamical Systems With Incomplete Information: Proceedings of the 10th Workshop on Dynamics and Control held at Lambrecht, Germany, August 16-19, 1998, pp. 200-211. Edited by Eduard Reithmeier and George Leitmann, Shaker Verlag, 1999.
Firdaus E. Udwadia, Hubertus F. von Bremen, and Mark Wilson (1998). “Experimental and Theoretical Results on Time Delayed Control of Structural Systems” Proceedings of the 12th ASME Engineering mechanics Conference, editors: H. Murakami and J.E. Luco, pp. 229-232.
Hubertus F. von Bremen, Firdaus E. Udwadia and Wlodek Proskurowski (1997).
“On the Efficient Computation of Lyapunov Exponents” Proceedings of the
International Conference on Control of Oscillations and Chaos. Held at
St. Petersburg, Russia, August 27-29, 1997.