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Home/Authors/Lennon J. Shikhman

Lennon J. Shikhman

1 indexed paper

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Publications per year

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26

Top categories

ML×1Comp. Eng.×1Numerical Analysis×1physics.comp-ph×1physics.plasm-ph×1

Frequent co-authors

Shane Gilbertie1×

Research Timeline

2026
Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs

The paper introduces Cellular Sheaf Neural Operators, a discretization-aware framework that models constrained PDEs by representing physical states on oriented cell complexes to enforce structure-preserving surrogate modeling.

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Papers

cs.LGcs.CEmath.NARecentMay 31, 2026

Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs

Lennon J. Shikhman, Shane Gilbertie

The paper introduces Cellular Sheaf Neural Operators, a discretization-aware framework that models constrained PDEs by representing physical states on oriented cell complexes to enforce structure-pres…

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