Jean-Philippe Lessard, Ph.D.

Affiliations: 
2007 Georgia Institute of Technology, Atlanta, GA 
Area:
Mathematics
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"Jean-Philippe Lessard"

Parents

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Konstantin Mischaikow grad student 2007 Georgia Tech
 (Validated continuation for infinite dimensional problems.)
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Publications

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Correc A, Lessard JP. (2015) Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof European Journal of Applied Mathematics. 26: 33-60
Lessard JP, Reinhardt C. (2014) Rigorous numerics for nonlinear differential equations using Chebyshev series Siam Journal On Numerical Analysis. 52: 1-22
Castelli R, Lessard JP. (2013) Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits Siam Journal On Applied Dynamical Systems. 12: 204-245
Gameiro M, Lessard JP. (2013) Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates Siam Journal On Numerical Analysis. 51: 2063-2087
Kiss G, Lessard JP. (2012) Computational fixed-point theory for differential delay equations with multiple time lags Journal of Differential Equations. 252: 3093-3115
Gameiro M, Lessard JP. (2011) Existence of secondary bifurcations or isolas for PDEs Nonlinear Analysis, Theory, Methods and Applications. 74: 4131-4137
Gameiro M, Lessard JP. (2011) Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation Numerische Mathematik. 117: 753-778
Gameiro M, Lessard JP. (2010) Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs Journal of Differential Equations. 249: 2237-2268
Lessard JP. (2010) Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation Journal of Differential Equations. 248: 992-1016
Van Den Berg JB, Lessard JP. (2008) Chaotic braided solutions via rigorous numerics: Chaos in the Swift-Hohenberg equation Siam Journal On Applied Dynamical Systems. 7: 988-1031
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