Tim Sauer
Professor of Mathematics
Department of Mathematics
George Mason University
Mail Stop 3F2
Fairfax, VA 22030
Office:
Email:
Phone:
Fax:
233 Planetary
tsauer (at) gmu.edu
+1 (703) 993-1471
+1 (703) 993-1491
n
Teaching
Fall 2012:
Math 203: Linear Algebra
Math 446/OR 481: Numerical Analysis
GMU CSUMS Program
The 2012-13 GMU
Undergraduate Research in Computational Mathematics (URCM)
program is supported by the National Science Foundation.
Books
Editorial Boards
SIAM Journal on Applied Dynamical Systems
Journal of Difference Equations and Applications
Physica D
Selected Publications and Preprints
S. Schiff, S. Ranjeva, T. Sauer, B. Warf
,
Rainfall drives hydrocephalus in East Africa
,
J. Neurosurg.: Pediatrics
(2012).
T. Berry, R. Cressman, Z. Greguric Ferencek, T. Sauer
,
Time-scale separation from diffusion-mapped delay coordinates
. SIAM J. Appl. Dyn. Sys. 12, 618-649 (2013).
F. Hamilton, T. Berry, N. Peixoto, T. Sauer
,
Real-time tracking of neuronal network structure using data assimilation
, preprint.
T. Berry, F. Hamilton, N. Peixoto, T. Sauer
,
Detecting connectivity changes in neuronal networks
. J. Neurosci. Meth. 209, 388-397 (2012).
T. Berry, T. Sauer
,
Adaptive ensemble Kalman filtering of nonlinear systems
, preprint.
D. Napoletani, M. Signore, T. Sauer, L. Liotta, E. Petricoin
,
Homologous control of protein signaling networks
. J. Theo. Biol. 279, 29-43 (2011).
T. Sauer, S. Schiff,
Data assimilation for heterogeneous networks: the consensus set.
Phys. Rev. E 79, 051909 (2009).
T. Sauer,
Observing periodically forced systems of difference equations.
Journal of Difference Equations and Applications 16, 269-273 (2010).
T. Sauer,
Numerical solution of stochastic differential equations in finance.
Handbook of Computational Finance, pp. 529-550. Eds. J.-C. Duan, W. Hardle, J. Gentle. Springer, Berlin-Heidelberg (2012).
T. Sauer,
Global convergence of max-type equations.
Journal of Difference Equations and Applications 17, 1-8 (2011).
T. Sauer,
Convergence of rank-type equations.
Applied Mathematics and Computation 217, 4540-7 (2011).
T. Berry, T. Sauer,
Convergence of periodically-forced rank-type equations.
Journal of Difference Equations and Applications 18, 417-429 (2012).
D. Napoletani, T. Sauer, D. Struppa, E. Petricoin, L. Liotta,
Augmented sparse representation of protein signaling networks
. J. Theo. Biol. 255, 40-52 (2008).
D. Napoletani, T. Sauer,
Reconstructing the topology of sparsely-connected dynamical networks
. Phys. Rev. E 77, 026103 (2008).
S. Schiff, T. Sauer,
Kalman filter control of a model of spatiotemporal cortical dynamics
. J. Neural Eng. 5, 1-8 (2008).
T. Sauer,
Detection of periodic driving in nonautonomous difference equations
. Advanced Studies in Pure Mathematics 53, 301-309 (2009).
D. Napoletani, D. Struppa, T. Sauer, V. Morozov, N. Vsevelodov, C. Bailey,
Functional dissipation microarrays for classification
. Pattern Recognition 40, 3393-3400 (2007).
T. Sauer,
Attractor reconstruction
.
Scholarpedia
1(10):1727 (2006).
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).
T. Sauer,
Computer arithmetic and sensitivity of natural measure
. Journal of Difference Equations and Applications 11, 669-676 (2005).
S. Weinstein, T. Sauer, R. Kumar, S. Schiff,
Neuronal spatiotemporal pattern discrimination: The dynamical evolution of seizures
. Neuroimage 28, 1043 - 1055 (2005).
K. Jerger, S. Weinstein, T. Sauer, S. Schiff,
Multivariate linear discrimination of seizures
. Clinical Neurophysiology 116, 545-551 (2005).
T. Sauer,
Reconstruction of shared nonlinear dynamics in a network
. Physical Review Letters 93, 198701-4 (2004).
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).
T. Sauer,
Chaotic itinerancy based on attractors of one-dimensional maps
. Chaos 13, 947-952 (2003).
T. Sauer,
Shadowing breakdown and large errors in dynamical simulations of physical systems
. Phys. Rev. E 65, 036220 (2002).