Tim Sauer
Professor of Mathematics
Department of Mathematics
George Mason University
Mail Stop 3F2
Fairfax, VA 22030
Office:
Email:
Phone:
Fax:
4209 Exploratory Hall
tsauer (at) gmu.edu
+1 (703) 993-1471
+1 (703) 993-1491
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Books
Solutions, Code, and Additional Examples
for Numerical Analysis, Third Edition.
Selected Publications and Preprints
T. Berry, M. Ferrari, T. Sauer, S. Greybush, D. Ebeigbe, A.J. Whalen, S.J. Schiff
,
Stabilizing the return to normal behavior in an epidemic.
Preprint.
S. Jahedi, T. Sauer, J. Yorke
,
Robustness of solutions of almost every system of equations.
SIAM J. Appl. Math. 82, 1791-1807 (2022).
S. Jahedi, T. Sauer, J. Yorke
,
Structured systems of nonlinear equations.
SIAM J. Appl. Math. 83, 1696-1716 (2023).
S. Schiff, T. Sauer
,
Towards predictive control of African infant infections.
SIAM News. Oct., 2020.
S. Jahedi, T. Sauer, J. Yorke
,
Robust steady states in ecosystems with symmetries.
J. Biol. Dyn. 19, 2259223 (2023).
T. Sauer, T. Berry, D. Ebeigbe, M. Norton, A. Whalen, S. Schiff
,
Identifiability of infection model parameters early in an epidemic
. SIAM J. Cont. Opt. 60, 27-48 (2021)
D. Ebeigbe, T. Berry, S. Schiff, T. Sauer
,
Poisson Kalman filter for disease surveillance
. Phys. Rev. Research 2, 043028 (2020).
A. Rahman, V. Maggioni, X Zhang, PL. Houser, T. Sauer, D. Mocko
,
Joint assimilation of remotely sensed leaf area index and surface soil moisture into a land surface model
. Remote Sensing 14, 437 (2022).
A. Rahman, X. Zhang, Y. Xue, P. Houser, T. Sauer, S. Kumar, D. Mocko, V. Maggioni
,
A synthetic experiment to investigate the potential of assimilating LAI through direct insertion in a land surface model
. J. Hydrol. X 9, 100063 (2020).
X. Zhang, V. Maggioni, A. Rahman, P. Houser, Y. Xue, T. Sauer, S. Kumar, D. Mocko
,
The influence of assimilating leaf area index in a land surface model on global water fluxes and storages
. Hydrol. Earth Syst. Sci 24, 3775-3788 (2020).
J. Guan, T. Berry, T. Sauer
,
Limits on reconstruction of dynamical networks
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Supplement
. Phys. Rev. E 98, 022318 (2018).
T. Berry, T. Sauer
,
Correlation between system and observation errors in data assimilation
. Monthly Weather Review 146, 2913 - 2931 (2018).
F. Hamilton, T. Berry, T. Sauer
,
Tracking intracellular dynamics through extracellular measurements
. PLOS One 13(10):e0205031 (2018).
F. Hamilton, T. Berry, T. Sauer
,
Correcting observational model error in data assimilation
. Chaos 29: 053102 (2019).
F. Hamilton, T. Berry, T. Sauer
,
Kalman-Takens filtering in the presence of dynamical noise
. Eur. Phys. J. Spec. Top. 226, 3239-3250 (2017).
T. Berry, T. Sauer
,
Consistent manifold representation for topological data analysis
. Found. Data Sci. 1, 1-38 (2019).
P. Ssentongo, A.Muwanguzi, U. Eden, T. Sauer, G. Bwanga, G. Kateregga, L. Aribo, M. Ojara, W. Mugerwa, S. Schiff
,
Changes in Ugandan climate rainfall at the village and forest level
. Scientific Reports 8, No. 3351 (2018).
T. Berry, T. Sauer
,
Density estimation on manifolds with boundary
, Comp. Stat. and Data Analysis 107, 1-17 (2017).
F. Hamilton, T. Berry, T. Sauer
,
Ensemble Kalman filtering without a model
. Phys. Rev. X 6, 011021 (2016).
F. Hamilton, T. Berry, T. Sauer
,
Predicting chaotic time series with a partial model
. Phys. Rev. E 92, 010902 (2015).
F. Hamilton, J. Cressman, N. Peixoto, T. Sauer
,
Reconstructing neural dynamics using data assimilation with multiple models
, Europhys. Lett. 107, 68005 (2014).
T. Berry, T. Sauer
,
Local kernels and the geometric structure of data
. J. Applied and Comp. Harmonic Analysis 40, 439-469 (2016).
A. Whalen, S. Brennan, T. Sauer, S. Schiff
,
Observability and controllability of nonlinear networks: The role of symmetry
, Phys. Rev. X 5, 011005 (2015).
S. Schiff, S. Ranjeva, T. Sauer, B. Warf
,
Rainfall drives hydrocephalus in East Africa
, J. Neurosurg.: Pediatrics 10, 161-167 (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).
T. Sauer
,
Computational solution of stochastic differential equations
. Wiley Interdiscip. Rev. Comput. Stat. 5, 362-371 (2013).
F. Hamilton, T. Berry, N. Peixoto, T. Sauer
,
Real-time tracking of neuronal network structure using data assimilation
. Phys. Rev. E 88, 052715 (2013)
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
. Tellus A 65, 20331 (2013).
A. Mitra, A. Manitius, T. Sauer
,
Prediction of single neuron spiking activity using an optimized nonlinear dynamic model
. IEEE Eng. Med. Biol. Soc. 2012, 2543-6 (2012).
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).