Jean-Philippe Lessard
According to our database1,
Jean-Philippe Lessard
authored at least 32 papers
between 2007 and 2024.
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Bibliography
2024
A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory.
CoRR, 2024
2023
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations.
SIAM J. Appl. Dyn. Syst., December, 2023
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs.
SIAM J. Appl. Dyn. Syst., September, 2023
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature.
J. Nonlinear Sci., June, 2023
Worrisome Properties of Neural Network Controllers and Their Symbolic Representations.
Proceedings of the ECAI 2023 - 26th European Conference on Artificial Intelligence, September 30 - October 4, 2023, Kraków, Poland, 2023
2022
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time.
Numerische Mathematik, 2022
Numerische Mathematik, 2022
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity.
Commun. Nonlinear Sci. Numer. Simul., 2022
Commun. Nonlinear Sci. Numer. Simul., 2022
2021
SIAM J. Appl. Dyn. Syst., 2021
A geometric characterization of unstable blow-up solutions with computer-assisted proof.
CoRR, 2021
2020
Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption.
J. Comput. Appl. Math., 2020
2017
SIAM J. Math. Anal., 2017
A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto-Sivashinsky PDE.
SIAM J. Appl. Dyn. Syst., 2017
A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations.
SIAM J. Appl. Dyn. Syst., 2017
2016
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach.
Math. Comput., 2016
Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series.
J. Comput. Appl. Math., 2016
Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions.
Found. Comput. Math., 2016
2015
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form.
SIAM J. Appl. Dyn. Syst., 2015
SIAM J. Appl. Dyn. Syst., 2015
2014
SIAM J. Numer. Anal., 2014
2013
Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates.
SIAM J. Numer. Anal., 2013
Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits.
SIAM J. Appl. Dyn. Syst., 2013
2011
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation.
SIAM J. Math. Anal., 2011
Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation.
Numerische Mathematik, 2011
2010
2008
Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst., 2008
Math. Comput. Simul., 2008
2007