| Validated continuation for equilibria of PDEs S Day, JP Lessard, K Mischaikow SIAM Journal on Numerical Analysis 45 (4), 1398-1424, 2007 | 155 | 2007 |
| Rigorous numerics in dynamics JB van den Berg, JP Lessard Notices Amer. Math. Soc 62 (9), 1057-1061, 2015 | 102 | 2015 |
| Rigorous numerics for symmetric connecting orbits: Even homoclinics of the Gray–Scott equation JB Van Den Berg, JD Mireles-James, JP Lessard, K Mischaikow SIAM Journal on Mathematical Analysis 43 (4), 1557-1594, 2011 | 101 | 2011 |
| Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach A Hungria, JP Lessard, J Mireles James Mathematics of Computation 85 (299), 1427-1459, 2016 | 100 | 2016 |
| Rigorous numerics for nonlinear differential equations using Chebyshev series JP Lessard, C Reinhardt SIAM Journal on Numerical Analysis 52 (1), 1-22, 2014 | 84 | 2014 |
| Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs M Gameiro, JP Lessard Journal of Differential Equations 249 (9), 2237-2268, 2010 | 80 | 2010 |
| Chaotic braided solutions via rigorous numerics: Chaos in the Swift–Hohenberg equation JB Van Den Berg, JP Lessard SIAM Journal on Applied Dynamical Systems 7 (3), 988-1031, 2008 | 80 | 2008 |
| Global smooth solution curves using rigorous branch following J van den Berg, JP Lessard, K Mischaikow Mathematics of computation 79 (271), 1565-1584, 2010 | 79 | 2010 |
| Parameterization of invariant manifolds for periodic orbits I: Efficient numerics via the Floquet normal form R Castelli, JP Lessard, JD Mireles James SIAM Journal on Applied Dynamical Systems 14 (1), 132-167, 2015 | 78 | 2015 |
| Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields JP Lessard, JD Mireles James, C Reinhardt Journal of Dynamics and Differential Equations 26, 267-313, 2014 | 73 | 2014 |
| Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system M Breden, JP Lessard, M Vanicat Acta applicandae mathematicae 128, 113-152, 2013 | 67 | 2013 |
| Stationary coexistence of hexagons and rolls via rigorous computations JB van den Berg, A Deschênes, JP Lessard, JD Mireles James SIAM Journal on Applied Dynamical Systems 14 (2), 942-979, 2015 | 66 | 2015 |
| Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation JP Lessard Journal of Differential Equations 248 (5), 992-1016, 2010 | 62 | 2010 |
| Automatic differentiation for Fourier series and the radii polynomial approach JP Lessard, JDM James, J Ransford Physica D, 2016 | 61 | 2016 |
| Computation of maximal local (un) stable manifold patches by the parameterization method M Breden, JP Lessard, JDM James Indagationes Mathematicae 27 (1), 340-367, 2016 | 59 | 2016 |
| A posteriori verification of invariant objects of evolution equations: Periodic orbits in the Kuramoto--Sivashinsky PDE M Gameiro, JP Lessard SIAM Journal on Applied Dynamical Systems 16 (1), 687-728, 2017 | 47 | 2017 |
| Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits R Castelli, JP Lessard SIAM Journal on Applied Dynamical Systems 12 (1), 204-245, 2013 | 45 | 2013 |
| Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation M Gameiro, JP Lessard Numerische Mathematik 117 (4), 753-778, 2011 | 44 | 2011 |
| Computational fixed-point theory for differential delay equations with multiple time lags G Kiss, JP Lessard Journal of Differential Equations 252 (4), 3093-3115, 2012 | 40 | 2012 |
| A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations JL Figueras, M Gameiro, JP Lessard, R De La Llave SIAM Journal on Applied Dynamical Systems 16 (2), 1070-1088, 2017 | 39 | 2017 |
Jay Mireles JamesFlorida Atlantic University在 fau.edu 的电子邮件经过验证
