Jean-Philippe Lessard, Ph.D.
Affiliations: | 2007 | Georgia Institute of Technology, Atlanta, GA |
Area:
MathematicsGoogle:
"Jean-Philippe Lessard"Parents
Sign in to add mentor| Konstantin Mischaikow | grad student | 2007 | Georgia Tech | |
| (Validated continuation for infinite dimensional problems.) | ||||
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Publications
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| Alama YB, Lessard J. (2020) Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption Journal of Computational and Applied Mathematics. 372: 112608 |
| Lessard J, James JDM. (2020) A Rigorous Implicit $$C^1$$ Chebyshev Integrator for Delay Equations Journal of Dynamics and Differential Equations |
| Burgos-García J, Lessard J, James JDM. (2019) Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence Celestial Mechanics and Dynamical Astronomy. 131: 2 |
| Breden M, Lessard J. (2018) Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs Discrete and Continuous Dynamical Systems-Series B. 23: 2825-2858 |
| Lessard J. (2018) Computing Discrete Convolutions with Verified Accuracy Via Banach Algebras and the FFT Applications of Mathematics. 63: 219-235 |
| van den Berg JB, Breden M, Lessard J, et al. (2018) Continuation of homoclinic orbits in the suspension bridge equation: A computer-assisted proof Journal of Differential Equations. 264: 3086-3130 |
| Castelli R, Gameiro M, Lessard JP. (2018) Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation Archive For Rational Mechanics and Analysis. 228: 129-157 |
| Lessard J, Sander E, Wanner T. (2017) Rigorous continuation of bifurcation points in the diblock copolymer equation Acm Journal of Computer Documentation. 4: 71 |
| Gameiro M, Lessard J. (2017) A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE Siam Journal On Applied Dynamical Systems. 16: 687-728 |
| Figueras J, Gameiro M, Lessard JP, et al. (2017) A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations Siam Journal On Applied Dynamical Systems. 16: 1070-1088 |