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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:

Computer-Assisted Methods for the Study of Stationary Solutions in Dissipative Systems, Applied to the Kuramoto–Sivashinski Equation
Gianni Arioli, Hans Koch
Archive for Rational Mechanics and Analysis (2010) Vol. 197, Iss. 3, pp. 1033-1051
Closed Access | Times Cited: 83

Showing 1-25 of 83 citing articles:

Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation
Gianni Arioli, Hans Koch
Nonlinear Analysis (2014) Vol. 113, pp. 51-70
Open Access | Times Cited: 72
Computer-assisted proofs in PDE: a survey
Javier Gómez-Serrano
SeMA Journal (2019) Vol. 76, Iss. 3, pp. 459-484
Open Access | Times Cited: 56
Pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE
Jacek Kubica, Piotr Zgliczyński, Piotr Kalita
Journal of Computational Dynamics (2025)
Open Access
Smooth imploding solutions for 3D compressible fluids
Tristan Buckmaster, Gonzalo Cao Labora, Javier Gómez-Serrano
Forum of Mathematics Pi (2025) Vol. 13
Open Access
Branches and bifurcations of ejection–collision orbits in the planar circular restricted three body problem
Gianni Arioli, J. D. Mireles James
Nonlinearity (2025) Vol. 38, Iss. 4, pp. 045010-045010
Open Access
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra
Jan Bouwe van den Berg, J. D. Mireles James, Christian Reinhardt
Journal of Nonlinear Science (2016) Vol. 26, Iss. 4, pp. 1055-1095
Open Access | Times Cited: 53
Integration of Dissipative Partial Differential Equations: A Case Study
Gianni Arioli, Hans P. Koch
SIAM Journal on Applied Dynamical Systems (2010) Vol. 9, Iss. 3, pp. 1119-1133
Closed Access | Times Cited: 54
Validated integration of semilinear parabolic PDEs
Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing
Numerische Mathematik (2024) Vol. 156, Iss. 4, pp. 1219-1287
Closed Access | Times Cited: 3
Validation of the bifurcation diagram in the 2D Ohta–Kawasaki problem
Jan Bouwe van den Berg, Jim Williams
Nonlinearity (2017) Vol. 30, Iss. 4, pp. 1584-1638
Open Access | Times Cited: 36
A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE
Marcio Gameiro, Jean‐Philippe Lessard
SIAM Journal on Applied Dynamical Systems (2017) Vol. 16, Iss. 1, pp. 687-728
Closed Access | Times Cited: 35
Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation
Roberto Castelli, Marcio Gameiro, J. Lessard
Archive for Rational Mechanics and Analysis (2017) Vol. 228, Iss. 1, pp. 129-157
Open Access | Times Cited: 33
Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation
Jordi-Lluís Figueras, Rafael de la Llave
SIAM Journal on Applied Dynamical Systems (2017) Vol. 16, Iss. 2, pp. 834-852
Open Access | Times Cited: 29
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions
Gianni Arioli, Filippo Gazzola, Hans Koch
Journal of Mathematical Fluid Mechanics (2021) Vol. 23, Iss. 3
Open Access | Times Cited: 20
A Homoclinic Solution for Excitation Waves on a Contractile Substratum
D. Ambrosi, Gianni Arioli, Hans Koch
SIAM Journal on Applied Dynamical Systems (2012) Vol. 11, Iss. 4, pp. 1533-1542
Closed Access | Times Cited: 30
A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations
Jordi-Lluís Figueras, Marcio Gameiro, J. Lessard, et al.
SIAM Journal on Applied Dynamical Systems (2017) Vol. 16, Iss. 2, pp. 1070-1088
Open Access | Times Cited: 25
Period Doubling in the Rössler System—A Computer Assisted Proof
Daniel Wilczak, Piotr Zgliczyński
Foundations of Computational Mathematics (2009) Vol. 9, Iss. 5, pp. 611-649
Closed Access | Times Cited: 31
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
Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds
William D. Kalies, Shane Kepley, J. D. Mireles James
SIAM Journal on Applied Dynamical Systems (2018) Vol. 17, Iss. 1, pp. 157-202
Open 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
Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg--Landau Problem
Jan Bouwe van den Berg, C. M. Groothedde, Jim Williams
SIAM Journal on Applied Dynamical Systems (2015) Vol. 14, Iss. 1, pp. 423-447
Closed Access | Times Cited: 21
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
Steady state bifurcations for the Kuramoto-Sivashinsky equation: A computer assisted proof
Piotr Zgliczyński
Journal of Computational Dynamics (2015) Vol. 2, Iss. 1, pp. 95-142
Open Access | Times Cited: 20
Computational Proofs in Dynamics
J. D. Mireles James, Konstantin Mischaikow
Springer eBooks (2015), pp. 288-295
Closed Access | Times Cited: 18
A Posteriori Validation of Generalized Polynomial Chaos Expansions
Maxime Breden
SIAM Journal on Applied Dynamical Systems (2023) Vol. 22, Iss. 2, pp. 765-801
Open Access | Times Cited: 5
Computer-assisted proofs for radially symmetric solutions of PDEs
István Balázs, Jan Bouwe van den Berg, J.-Y. Courtois, et al.
Journal of Computational Dynamics (2018) Vol. 5, Iss. 1&2, pp. 61-80
Open Access | Times Cited: 15
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