Tim Sauer Professor of Mathematics Department of Mathematics George Mason University Mail Stop 3F2 Fairfax, VA 22030 Office: Email: Phone: Fax: 233 ST1 tsauer (at) gmu.edu +1 (703) 993-1471 +1 (703) 993-1491

Teaching

• Math 446: Numerical Analysis I
• Math 447: Numerical Analysis II
• Math 495: URCM Seminar

GMU CSUMS Program

• The GMU Undergraduate Research in Computational Mathematics (URCM) program is supported by the National Science Foundation.
• Detailed information.

Books

Editorial Boards

• SIAM Journal on Applied Dynamical Systems
• Journal of Difference Equations and Applications
• Physica D

Selected Publications and Preprints

1. D. Napoletani, T. Sauer, D. Struppa, E. Petricoin, L. Liotta, Augmented sparse representation of protein signaling networks. J. Theo. Biol. 255, 40-52 (2008).
2. T. Sauer, S. Schiff, Data assimilation for heterogeneous networks: the consensus set. Phys. Rev. E 79, 051909 (2009).
3. T. Sauer, Numerical solution of stochastic differential equations in finance. To appear, Handbook of Computational Finance, Springer.
4. T. Sauer, Global convergence of max-type equations.
5. T. Sauer, Convergence of rank-type equations.
6. D. Napoletani, T. Sauer, Reconstructing the topology of sparsely-connected dynamical networks. Phys. Rev. E 77, 026103 (2008).
7. S. Schiff, T. Sauer, Kalman filter control of a model of spatiotemporal cortical dynamics. J. Neural Eng. 5, 1-8 (2008).
8. T. Sauer, Detection of periodic driving in nonautonomous difference equations. Advanced Studies in Pure Mathematics 53, 301-309 (2009).
9. D. Napoletani, D. Struppa, T. Sauer, V. Morozov, N. Vsevelodov, C. Bailey, Functional dissipation microarrays for classification. Pattern Recognition 40, 3393-3400 (2007).
10. T. Sauer, Attractor reconstruction. Scholarpedia 1(10):1727 (2006).
11. D. Napoletani, C. Berenstein, T. Sauer, D. Struppa, D. Walnut, Delay coordinate embeddings as a data mining tool for denoising speech signals. Chaos 16, 043116 (2006).
12. T. Sauer, Computer arithmetic and sensitivity of natural measure. Journal of Difference Equations and Applications 11, 669-676 (2005).
13. S. Weinstein, T. Sauer, R. Kumar, S. Schiff, Neuronal spatiotemporal pattern discrimination: The dynamical evolution of seizures. Neuroimage 28, 1043 - 1055 (2005).
14. K. Jerger, S. Weinstein, T. Sauer, S. Schiff, Multivariate linear discrimination of seizures. Clinical Neurophysiology 116, 545-551 (2005).
15. T. Sauer, Reconstruction of shared nonlinear dynamics in a network. Physical Review Letters 93, 198701-4 (2004).
16. B. Hunt, E. Kalnay, E. Kostelich, E. Ott, D.J. Patil, T. Sauer, I. Szunyogh, J. Yorke, A. Zimin, Four-dimensional ensemble Kalman filtering. Tellus A56, 273-277 (2004).
17. T. Sauer, Chaotic itinerancy based on attractors of one-dimensional maps. Chaos 13, 947-952 (2003).
18. T. Sauer, Shadowing breakdown and large errors in dynamical simulations of physical systems. Phys. Rev. E 65, 036220 (2002).