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Journal Articles
- 2024
[j11]Bogdan Batko, Marcio Gameiro
, Ying Hung, William D. Kalies, Konstantin Mischaikow, Ewerton R. Vieira:
Identifying Nonlinear Dynamics with High Confidence from Sparse Data. SIAM J. Appl. Dyn. Syst. 23(1): 383-409 (2024)- 2021
- [j10]Vincent Naudot, Shane Kepley, William D. Kalies:
Complexity in a Hybrid van der Pol System. Int. J. Bifurc. Chaos 31(13): 2150194:1-2150194:20 (2021) - [j9]William D. Kalies, Tomás Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka:
Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities. SIAM J. Appl. Dyn. Syst. 20(4): 2108-2141 (2021) - 2018
- [j8]William D. Kalies, Shane Kepley, Jason D. Mireles-James:
Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds. SIAM J. Appl. Dyn. Syst. 17(1): 157-202 (2018) - [j7]William D. Kalies, Dinesh Kasti, Robert C. A. M. Vandervorst:
An Algorithmic Approach to Lattices and Order in Dynamics. SIAM J. Appl. Dyn. Syst. 17(2): 1617-1649 (2018) - 2016
- [j6]William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst:
Lattice Structures for Attractors II. Found. Comput. Math. 16(5): 1151-1191 (2016) - 2013
- [j5]Sarah Day, William D. Kalies:
Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities. SIAM J. Numer. Anal. 51(6): 2957-2983 (2013) - 2009
- [j4]Sarah Day, William D. Kalies, Thomas Wanner:
Verified Homology Computations for Nodal Domains. Multiscale Model. Simul. 7(4): 1695-1726 (2009) - [j3]Zin Arai, William D. Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, Pawel Pilarczyk:
A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems. SIAM J. Appl. Dyn. Syst. 8(3): 757-789 (2009) - 2006
- [j2]Marc Niethammer, William D. Kalies, Konstantin Mischaikow, Allen R. Tannenbaum:
On the detection of simple points in higher dimensions using cubical homology. IEEE Trans. Image Process. 15(8): 2462-2469 (2006) - 2005
- [j1]William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst:
An Algorithmic Approach to Chain Recurrence. Found. Comput. Math. 5(4): 409-449 (2005)
Conference and Workshop Papers
- 2002
- [c1]Konstantin Mischaikow, Pawel Pilarczyk, William D. Kalies, Marc Niethammer, Andrew Stein, Allen R. Tannenbaum:
Analysis of blood vessel topology by cubical homology. ICIP (2) 2002: 969-972
Informal and Other Publications
- 2021
- [i1]Mohammed Eslami, Hamed Eramian, Marcio Gameiro, William D. Kalies, Konstantin Mischaikow:
Extracting Global Dynamics of Loss Landscape in Deep Learning Models. CoRR abs/2106.07683 (2021)
Coauthor Index
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