| Validated continuation for equilibria of PDEs S Day, JP Lessard, K Mischaikow SIAM Journal on Numerical Analysis 45 (4), 1398-1424, 2007 | 155 | 2007 |
| A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems S Day, O Junge, K Mischaikow SIAM Journal on Applied Dynamical Systems 3 (2), 117-160, 2004 | 103 | 2004 |
| Rigorous numerics for global dynamics: A study of the Swift--Hohenberg equation S Day, Y Hiraoka, K Mischaikow, T Ogawa SIAM Journal on Applied Dynamical Systems 4 (1), 1-31, 2005 | 87 | 2005 |
| Algorithms for rigorous entropy bounds and symbolic dynamics S Day, R Frongillo, R Trevino SIAM Journal on Applied Dynamical Systems 7 (4), 1477-1506, 2008 | 53 | 2008 |
| Rigorous computation of the global dynamics of integrodifference equations with smooth nonlinearities S Day, WD Kalies SIAM Journal on Numerical Analysis 51 (6), 2957-2983, 2013 | 43 | 2013 |
| A rigorous numerical method in infinite dimensions SL Day Georgia Institute of Technology, 2003 | 29 | 2003 |
| Coexistence of competing stage-structured populations M Fujiwara, G Pfeiffer, M Boggess, S Day, J Walton Scientific Reports 1 (1), 107, 2011 | 26 | 2011 |
| Verified homology computations for nodal domains S Day, WD Kalies, T Wanner Multiscale Modeling & Simulation 7 (4), 1695-1726, 2009 | 24 | 2009 |
| Power weakly mixing infinite transformations SL Day, BR Grivna, EP McCartney, CE Silva arXiv preprint math/9803105, 1998 | 24 | 1998 |
| Topological fidelity and image thresholding: A persistent homology approach YM Chung, S Day Journal of Mathematical Imaging and Vision 60, 1167-1179, 2018 | 21 | 2018 |
| Towards automated chaos verification S Day, O Junge, K Mischaikow EQUADIFF 2003, 157-162, 2005 | 19 | 2005 |
| Quantitative hyperbolicity estimates in one-dimensional dynamics S Day, H Kokubu, S Luzzatto, K Mischaikow, H Oka, P Pilarczyk Nonlinearity 21 (9), 1967, 2008 | 15 | 2008 |
| Probabilistic and numerical validation of homology computations for nodal domains S Day, W Kalies, K Mischaikow, T Wanner Electronic Research Announcements of the American Mathematical Society 13 (7 …, 2007 | 14 | 2007 |
| A multi-parameter persistence framework for mathematical morphology YM Chung, S Day, CS Hu Scientific reports 12 (1), 6427, 2022 | 8 | 2022 |
| Sofic shifts via Conley index theory: computing lower bounds on recurrent dynamics for maps S Day, R Frongillo SIAM Journal on Applied Dynamical Systems 18 (3), 1610-1642, 2019 | 7 | 2019 |
| A rigorous numerical method for the global analysis of an infinite dimensional discrete dynamical system M Allili, S Day, O Junge, K Mischaikow preprint, 2002 | 7 | 2002 |
| Braided connecting orbits in parabolic equations via computational homology JB van den Berg, S Day, R Vandervorst Journal of Differential Equations 255 (6), 1086-1108, 2013 | 5 | 2013 |
| Topology in dynamics, differential equations, and data S Day, RCAM Vandervorst, T Wanner Physica D: Nonlinear Phenomena 334, 1-3, 2016 | 4 | 2016 |
| Towards a rigorous numerical study of the Kot-Schaffer model S Day Dynamic Systems and Applications 12 (1/2), 87-98, 2003 | 4 | 2003 |
| A density-based approach to feature detection in persistence diagrams for firn data A Lawson, T Hoffman, YM Chung, K Keegan, S Day Foundations of Data Science 4 (4), 623-639, 2022 | 3 | 2022 |
Konstantin MischaikowRutgers UniversityVerified email at math.rutgers.edu
