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Jean-Philippe Lessard
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2020 – today
- 2024
- [j29]Matthieu Cadiot, Jean-Philippe Lessard, Jean-Christophe Nave
:
Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods. SIAM J. Appl. Dyn. Syst. 23(3): 1966-2017 (2024) - [i7]Gabriel William Duchesne, Jean-Philippe Lessard, Akitoshi Takayasu:
A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory. CoRR abs/2402.00406 (2024) - 2023
- [j28]Jean-Philippe Lessard, Kaname Matsue
, Akitoshi Takayasu:
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature. J. Nonlinear Sci. 33(3): 46 (2023) - [j27]Joan Gimeno
, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang:
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. SIAM J. Appl. Dyn. Syst. 22(3): 1743-1779 (2023) - [j26]Olivier Hénot
, Jean-Philippe Lessard, Jason D. Mireles-James
:
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations. SIAM J. Appl. Dyn. Syst. 22(4): 3093-3129 (2023) - [c1]Jacek Cyranka, Kevin E. M. Church, Jean-Philippe Lessard:
Worrisome Properties of Neural Network Controllers and Their Symbolic Representations. ECAI 2023: 517-525 - [i6]Jacek Cyranka, Kevin E. M. Church, Jean-Philippe Lessard:
Worrisome Properties of Neural Network Controllers and Their Symbolic Representations. CoRR abs/2307.15456 (2023) - 2022
- [j25]Jonathan Jaquette
, Jean-Philippe Lessard, Akitoshi Takayasu:
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 107: 106188 (2022) - [j24]Jacek Cyranka
, Jean-Philippe Lessard:
Validated forward integration scheme for parabolic PDEs via Chebyshev series. Commun. Nonlinear Sci. Numer. Simul. 109: 106304 (2022) - [j23]Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette
, Hisashi Okamoto:
Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik 151(3): 693-750 (2022) - [j22]Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette
, Hisashi Okamoto:
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik 151(3): 751-752 (2022) - 2021
- [j21]Jan Bouwe van den Berg
, Maxime Breden, Jean-Philippe Lessard, Lennaert van Veen:
Spontaneous Periodic Orbits in the Navier-Stokes Flow. J. Nonlinear Sci. 31(2): 41 (2021) - [j20]Jan Bouwe van den Berg
, Jean-Philippe Lessard, Elena Queirolo
:
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation. SIAM J. Appl. Dyn. Syst. 20(2): 573-607 (2021) - [i5]Jacek Cyranka, Jean-Philippe Lessard:
Validated forward integration scheme for parabolic PDEs via Chebyshev series. CoRR abs/2101.00684 (2021) - [i4]Gabriel Martine-La Boissoniere, Rustum Choksi, Jean-Philippe Lessard:
Microscopic Patterns in the 2D Phase-Field-Crystal Model. CoRR abs/2102.02338 (2021) - [i3]Jean-Philippe Lessard, Kaname Matsue, Akitoshi Takayasu:
A geometric characterization of unstable blow-up solutions with computer-assisted proof. CoRR abs/2103.12390 (2021) - [i2]Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang:
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. CoRR abs/2111.06391 (2021) - 2020
- [j19]Yvonne Alama Bronsard
, Jean-Philippe Lessard:
Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption. J. Comput. Appl. Math. 372: 112608 (2020) - [j18]Carlos García-Azpeitia
, Jean-Philippe Lessard:
Free Vibrations in a Wave Equation Modeling MEMS. SIAM J. Appl. Dyn. Syst. 19(4): 2749-2782 (2020) - [i1]Jan Bouwe van den Berg, Jean-Philippe Lessard, Elena Queirolo:
Rigorous verification of Hopf bifurcations via desingularization and continuation. CoRR abs/2006.13373 (2020)
2010 – 2019
- 2017
- [j17]Marcio Gameiro, Jean-Philippe Lessard:
A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto-Sivashinsky PDE. SIAM J. Appl. Dyn. Syst. 16(1): 687-728 (2017) - [j16]Jordi-Lluís Figueras, Marcio Gameiro, Jean-Philippe Lessard, Rafael de la Llave:
A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations. SIAM J. Appl. Dyn. Syst. 16(2): 1070-1088 (2017) - [j15]Jean-Philippe Lessard, Jason D. Mireles-James
:
Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity. SIAM J. Math. Anal. 49(1): 530-561 (2017) - 2016
- [j14]Marcio Gameiro
, Jean-Philippe Lessard, Alessandro Pugliese
:
Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions. Found. Comput. Math. 16(2): 531-575 (2016) - [j13]Marcio Gameiro
, Jean-Philippe Lessard, Yann Ricaud:
Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series. J. Comput. Appl. Math. 292: 654-673 (2016) - [j12]Allan Hungria, Jean-Philippe Lessard, Jason D. Mireles-James
:
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Math. Comput. 85(299): 1427-1459 (2016) - 2015
- [j11]Roberto Castelli
, Jean-Philippe Lessard, Jason D. Mireles-James
:
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form. SIAM J. Appl. Dyn. Syst. 14(1): 132-167 (2015) - [j10]Jan Bouwe van den Berg
, Andréa Deschênes, Jean-Philippe Lessard, Jason D. Mireles-James
:
Stationary Coexistence of Hexagons and Rolls via Rigorous Computations. SIAM J. Appl. Dyn. Syst. 14(2): 942-979 (2015) - 2014
- [j9]Jean-Philippe Lessard, Christian Reinhardt:
Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series. SIAM J. Numer. Anal. 52(1): 1-22 (2014) - 2013
- [j8]Roberto Castelli
, Jean-Philippe Lessard:
Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits. SIAM J. Appl. Dyn. Syst. 12(1): 204-245 (2013) - [j7]Marcio Gameiro
, Jean-Philippe Lessard:
Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates. SIAM J. Numer. Anal. 51(4): 2063-2087 (2013) - 2011
- [j6]Marcio Gameiro
, Jean-Philippe Lessard:
Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation. Numerische Mathematik 117(4): 753-778 (2011) - [j5]Jan Bouwe van den Berg
, Jason D. Mireles-James
, Jean-Philippe Lessard, Konstantin Mischaikow:
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation. SIAM J. Math. Anal. 43(4): 1557-1594 (2011) - 2010
- [j4]Jan Bouwe van den Berg
, Jean-Philippe Lessard, Konstantin Mischaikow:
Global smooth solution curves using rigorous branch following. Math. Comput. 79(271): 1565-1584 (2010)
2000 – 2009
- 2008
- [j3]Marcio Gameiro
, Jean-Philippe Lessard, Konstantin Mischaikow:
Validated continuation over large parameter ranges for equilibria of PDEs. Math. Comput. Simul. 79(4): 1368-1382 (2008) - [j2]Jan Bouwe van den Berg
, Jean-Philippe Lessard:
Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst. 7(3): 988-1031 (2008) - 2007
- [j1]Sarah Day, Jean-Philippe Lessard, Konstantin Mischaikow:
Validated Continuation for Equilibria of PDEs. SIAM J. Numer. Anal. 45(4): 1398-1424 (2007)
Coauthor Index
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last updated on 2024-08-23 18:29 CEST by the dblp team
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