Interprets splitting schemes as Dirac-controlled trajectories to prove arbitrary-order complex schemes exist and to tie real-order restrictions to obstructing Lie brackets.
Splitting methods for differential equations
2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces Hodge Spectral Duality, a hybrid neural architecture that applies Hodge orthogonality and operator splitting to isolate unlearnable topological degrees of freedom from learnable geometric dynamics in solution operators on geometric meshes.
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Control theory and splitting methods
Interprets splitting schemes as Dirac-controlled trajectories to prove arbitrary-order complex schemes exist and to tie real-order restrictions to obstructing Lie brackets.
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Topology-Preserving Neural Operator Learning via Hodge Decomposition
Introduces Hodge Spectral Duality, a hybrid neural architecture that applies Hodge orthogonality and operator splitting to isolate unlearnable topological degrees of freedom from learnable geometric dynamics in solution operators on geometric meshes.