Jean-Philippe Lessard

Jean-Philippe Lessard

McGill University

H-index: 26

North America-Canada

About Jean-Philippe Lessard

Jean-Philippe Lessard, With an exceptional h-index of 26 and a recent h-index of 19 (since 2020), a distinguished researcher at McGill University, specializes in the field of Dynamical Systems - Rigorous Computations - Topological Methods - PDEs - Delay Equations - ODEs.

His recent articles reflect a diverse array of research interests and contributions to the field:

A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory

Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence

Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence

Determination of stable branches of relative equilibria of the -vortex problem on the sphere

Rigorous computation of solutions of semi-linear PDEs on unbounded domains via spectral methods

Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points

Worrisome Properties of Neural Network Controllers and Their Symbolic Representations

Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations

Jean-Philippe Lessard Information

University

Position

Canada

Citations(all)

1993

Citations(since 2020)

1004

Cited By

1535

hIndex(all)

26

hIndex(since 2020)

19

i10Index(all)

44

i10Index(since 2020)

37

Email

University Profile Page

McGill University

Google Scholar

View Google Scholar Profile

Jean-Philippe Lessard Skills & Research Interests

Dynamical Systems - Rigorous Computations - Topological Methods - PDEs - Delay Equations - ODEs

Top articles of Jean-Philippe Lessard

Title

Journal

Author(s)

Publication Date

A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory

arXiv preprint arXiv:2402.00406

Gabriel William Duchesne

Jean-Philippe Lessard

Akitoshi Takayasu

2024/2/1

Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence

arXiv preprint arXiv:2404.00535

Jean-Philippe Lessard

Alessandro Pugliese

2024/3/31

Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence

arXiv preprint arXiv:2403.10450

Matthieu Cadiot

Jean-Philippe Lessard

Jean-Christophe Nave

2024/3/15

Determination of stable branches of relative equilibria of the -vortex problem on the sphere

arXiv preprint arXiv:2309.04320

Kevin Constantineau

Carlos García-Azpeitia

Luis C García-Naranjo

Jean-Philippe Lessard

2023/9/8

Rigorous computation of solutions of semi-linear PDEs on unbounded domains via spectral methods

arXiv preprint arXiv:2302.12877

Matthieu Cadiot

Jean-Philippe Lessard

Jean-Christophe Nave

2023/2/24

Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points

Foundations of Computational Mathematics

Jan Bouwe van den Berg

Marcio Gameiro

Jean-Philippe Lessard

Rob Van der Vorst

2023/10/17

Worrisome Properties of Neural Network Controllers and Their Symbolic Representations

arXiv preprint arXiv:2307.15456

Jacek Cyranka

Kevin EM Church

Jean-Philippe Lessard

2023/7/28

Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations

SIAM Journal on Applied Dynamical Systems

Olivier Hénot

Jean-Philippe Lessard

Jason D Mireles James

2023/12/31

Periodic orbits in Hořava–Lifshitz cosmologies

General Relativity and Gravitation

Kevin EM Church

Olivier Hénot

Phillipo Lappicy

Jean-Philippe Lessard

Hauke Sprink

2023

Constructive proofs for localised radial solutions of semilinear elliptic systems on\mathbb {R}(d)

Nonlinearity

Jan Bouwe van den Berg

Olivier Hénot

Jean-Philippe Lessard

2023/10/30

Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature

Journal of Nonlinear Science

Jean-Philippe Lessard

Kaname Matsue

Akitoshi Takayasu

2023/6

Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time

Numerische Mathematik

Akitoshi Takayasu

Jean-Philippe Lessard

Jonathan Jaquette

Hisashi Okamoto

2022/7

Microscopic patterns in the 2D phase-field-crystal model

Nonlinearity

Gabriel Martine-La Boissoniere

Rustum Choksi

Jean-Philippe Lessard

2022/2/17

Parameterization of unstable manifolds for ddes: formal series solutions and validated error bounds

Journal of Dynamics and Differential Equations

Olivier Hénot

Jean-Philippe Lessard

JD Mireles James

2022/6

Global dynamics in nonconservative nonlinear Schrödinger equations

Advances in Mathematics

Jonathan Jaquette

Jean-Philippe Lessard

Akitoshi Takayasu

2022/3/26

Rigorous numerics for nonlinear heat equations in the complex plane of time

Numerische Mathematik

Akitoshi Takayasu

Jean-Philippe Lessard

Jonathan Jaquette

Hisashi Okamoto

2022/7

Rigorous verification of Hopf bifurcations in functional differential equations of mixed type

Physica D: Nonlinear Phenomena

Kevin EM Church

Jean-Philippe Lessard

2022/1/1

Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity

Communications in Nonlinear Science and Numerical Simulation

Jonathan Jaquette

Jean-Philippe Lessard

Akitoshi Takayasu

2022/4/1

Validated forward integration scheme for parabolic PDEs via Chebyshev series

Communications in Nonlinear Science and Numerical Simulation

Jacek Cyranka

Jean-Philippe Lessard

2022/6/1

Towards computational Morse-Floer homology: forcing results for connecting orbits by computing relative indices of critical points

arXiv preprint arXiv:2206.09205

Jan Bouwe van den Berg

Marcio Gameiro

Jean-Philippe Lessard

Rob Van der Vorst

2022/6/18

See List of Professors in Jean-Philippe Lessard University(McGill University)

Co-Authors

H-index: 55
Konstantin Mischaikow

Konstantin Mischaikow

Rutgers, The State University of New Jersey

H-index: 43
Rafael de la Llave

Rafael de la Llave

Georgia Institute of Technology

H-index: 19
Marcio Gameiro

Marcio Gameiro

Universidade de São Paulo

H-index: 12
Roberto Castelli

Roberto Castelli

Vrije Universiteit Amsterdam

H-index: 10
Maxime Breden

Maxime Breden

École Polytechnique

H-index: 9
Jordi-Lluís Figueras

Jordi-Lluís Figueras

Uppsala Universitet

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