| Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system M Breden, JP Lessard, M Vanicat Acta Applicandae Mathematicae 128 (1), 113-152, 2013 | 67 | 2013 |
| Computation of maximal local (un) stable manifold patches by the parameterization method M Breden, JP Lessard, JDM James Indagationes Mathematicae 27 (1), 340-367, 2016 | 58 | 2016 |
| Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof JB van den Berg, M Breden, JP Lessard, M Murray Journal of Differential Equations 264 (5), 3086-3130, 2018 | 32 | 2018 |
| Spontaneous Periodic Orbits in the Navier–Stokes Flow JB van den Berg, M Breden, JP Lessard, L van Veen Journal of Nonlinear Science 31 (2), 1-64, 2021 | 23 | 2021 |
| On the influence of cross-diffusion in pattern formation M Breden, C Kuehn, C Soresina arXiv preprint arXiv:1910.03436, 2019 | 21 | 2019 |
| Existence and instability of steady states for a triangular cross-diffusion system: A computer-assisted proof M Breden, R Castelli Journal of Differential Equations 264 (10), 6418-6458, 2018 | 15 | 2018 |
| Smoothness of moments of the solutions of discrete coagulation equations with diffusion M Breden, L Desvillettes, K Fellner Monatshefte für Mathematik 183 (3), 437–463, 2017 | 14 | 2017 |
| Rigorous validation of stochastic transition paths M Breden, C Kuehn Journal de Mathématiques Pures et Appliquées 131, 88-129, 2019 | 12 | 2019 |
| Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs M Breden, JP Lessard Discrete and Continuous Dynamical Systems - Series B 23 (7), 2825-2858, 2018 | 11 | 2018 |
| Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems M Breden, M Engel The Annals of Applied Probability 33 (2), 1252-1294, 2023 | 9 | 2023 |
| Rigorous numerics for nonlinear operators with tridiagonal dominant linear part M Breden, L Desvillettes, JP Lessard Discrete and Continuous Dynamical Systems - Series A 35 (10), 4765-4789, 2015 | 8 | 2015 |
| Computer-assisted proofs for some nonlinear diffusion problems M Breden Communications in Nonlinear Science and Numerical Simulation, 106292, 2022 | 6 | 2022 |
| A posteriori validation of generalized polynomial chaos expansions M Breden SIAM Journal on Applied Dynamical Systems 22 (2), 765-801, 2023 | 4 | 2023 |
| Rigorous study of the equilibria of collision kernels appearing in the theory of weak turbulence M Breden, L Desvillettes Archive for Rational Mechanics and Analysis 235 (2), 1151-1176, 2020 | 4 | 2020 |
| Computing invariant sets of random differential equations using polynomial chaos M Breden, C Kuehn SIAM Journal on Applied Dynamical Systems 19 (1), 577-618, 2020 | 4 | 2020 |
| Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof M Breden, C Chainais-Hillairet, A Zurek | 3 | 2021 |
| Applications of improved duality lemmas to the discrete coagulation-fragmentation equations with diffusion M Breden Kinetic and Related Models 11 (2), 279-301, 2018 | 3 | 2018 |
| Computer-assisted proofs for the many steady states of a chemotaxis model with local sensing M Breden, M Payan arXiv preprint arXiv:2311.13896, 2023 | 1 | 2023 |
| Validated integration of semilinear parabolic PDEs J Bouwe van den Berg, M Breden, R Sheombarsing arXiv e-prints, arXiv: 2305.08221, 2023 | 1* | 2023 |
| Constructive proofs for some semilinear PDEs on M Breden, H Chu arXiv preprint arXiv:2404.04054, 2024 | | 2024 |
Jean-Philippe LessardMcGill University, Montreal, CanadaVerified email at mcgill.ca
