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20242026
most citedStationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence

10 citations · 16 across the 7 of their papers we have counts for

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math.NA2024

Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs

Matthieu Cadiot, Jonathan Jaquette, Jean-Philippe Lessard +1

In this paper, we achieve three primary objectives related to the rigorous computational analysis of nonlinear PDEs posed on complex geometries such as disks and cylinders. First,…