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OpenAlex Citation Counts

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OpenAlex is a bibliographic catalogue of scientific papers, authors and institutions accessible in open access mode, named after the Library of Alexandria. It's citation coverage is excellent and I hope you will find utility in this listing of citing articles!

If you click the article title, you'll navigate to the article, as listed in CrossRef. If you click the Open Access links, you'll navigate to the "best Open Access location". Clicking the citation count will open this listing for that article. Lastly at the bottom of the page, you'll find basic pagination options.

Requested Article:

Computational Proofs in Dynamics
J. D. Mireles James, Konstantin Mischaikow
Springer eBooks (2015), pp. 288-295
Closed Access | Times Cited: 18

Showing 18 citing articles:

Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach
Allan Hungria, Jean‐Philippe Lessard, J. D. Mireles James
Mathematics of Computation (2015) Vol. 85, Iss. 299, pp. 1427-1459
Open Access | Times Cited: 69
Automatic differentiation for Fourier series and the radii polynomial approach
Jean‐Philippe Lessard, J. D. Mireles James, Julian Ransford
Physica D Nonlinear Phenomena (2016) Vol. 334, pp. 174-186
Open Access | Times Cited: 40
Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity
Jean‐Philippe Lessard, J. D. Mireles James
SIAM Journal on Mathematical Analysis (2017) Vol. 49, Iss. 1, pp. 530-561
Closed Access | Times Cited: 23
Fourier–Taylor parameterization of unstable manifolds for parabolic partial differential equations: Formalism, implementation and rigorous validation
Christian Reinhardt, J. D. Mireles James
Indagationes Mathematicae (2018) Vol. 30, Iss. 1, pp. 39-80
Open Access | Times Cited: 22
A General Method for Computer-Assisted Proofs of Periodic Solutions in Delay Differential Problems
Jan Bouwe van den Berg, C. M. Groothedde, Jean‐Philippe Lessard
Journal of Dynamics and Differential Equations (2020) Vol. 34, Iss. 2, pp. 853-896
Closed Access | Times Cited: 20
Spontaneous Periodic Orbits in the Navier–Stokes Flow
Jan Bouwe van den Berg, Maxime Breden, J. LESSARD, et al.
Journal of Nonlinear Science (2021) Vol. 31, Iss. 2
Closed Access | Times Cited: 17
Global dynamics in nonconservative nonlinear Schrödinger equations
Jonathan Jaquette, Jean‐Philippe Lessard, Akitoshi Takayasu
Advances in Mathematics (2022) Vol. 398, pp. 108234-108234
Open Access | Times Cited: 11
An Overview of the Parameterization Method for Invariant Manifolds
Àlex Haro
Applied mathematical sciences (2016), pp. 1-28
Closed Access | Times Cited: 12
Rigorous validation of stochastic transition paths
Maxime Breden, Christian Kuehn
Journal de Mathématiques Pures et Appliquées (2019) Vol. 131, pp. 88-129
Open Access | Times Cited: 10
Computing discrete convolutions with verified accuracy via Banach algebras and the FFT
Jean‐Philippe Lessard
Applications of Mathematics (2018) Vol. 63, Iss. 3, pp. 219-235
Open Access | Times Cited: 9
Torus knot choreographies in the n-body problem
Renato Calleja, Carlos García-Azpeitia, Jean‐Philippe Lessard, et al.
Nonlinearity (2021) Vol. 34, Iss. 1, pp. 313-348
Open Access | Times Cited: 8
Some unexpected results on the Brillouin singular equation: Fold bifurcation of periodic solutions
Roberto Castelli, Maurizio Garrione
Journal of Differential Equations (2018) Vol. 265, Iss. 6, pp. 2502-2543
Open Access | Times Cited: 4
Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: A Taylor-Chebyshev series approach
Jan Bouwe van den Berg, Gabriel William Duchesne, Jean‐Philippe Lessard
Journal of Computational Dynamics (2022) Vol. 9, Iss. 2, pp. 253-253
Open Access | Times Cited: 2
Fourier-Taylor Parameterization of Unstable Manifolds for Parabolic Partial Differential Equations: Formalization, Implementation, and Rigorous Validation
J. D. Mireles James, Christian Reinhardt
arXiv (Cornell University) (2016)
Open Access | Times Cited: 1
Torus knot choreographies in the $n$-body problem
Renato Calleja, Carlos García-Azpeitia, Jean‐Philippe Lessard, et al.
arXiv (Cornell University) (2019)
Closed Access | Times Cited: 1
Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points
Jan Bouwe van den Berg, Marcio Gameiro, Jean‐Philippe Lessard, et al.
Foundations of Computational Mathematics (2023) Vol. 24, Iss. 5, pp. 1739-1776
Closed Access
Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem
Shane Kepley, J. D. Mireles James
arXiv (Cornell University) (2017)
Closed Access
Rigorous Validation of Stochastic Transition Paths.
Maxime Breden, Christian Kuehn
arXiv (Cornell University) (2018)
Closed Access
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