HIN-LRI augments a low-regularity integrator with a latent-manifold neural correction trained end-to-end on trajectory error to improve accuracy on nonlinear dispersive equations with rough data.
Mathematics of Computation , year =
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A relaxed generalized scalar auxiliary variable exponential integrator is proposed for the modified Landau-de Gennes model of smectic-A phases, with proofs of unconditional energy stability, solution boundedness, and optimal error estimates.
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Hybrid Iterative Neural Low-Regularity Integrator for Nonlinear Dispersive Equations
HIN-LRI augments a low-regularity integrator with a latent-manifold neural correction trained end-to-end on trajectory error to improve accuracy on nonlinear dispersive equations with rough data.
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Relaxed Generalized Scalar Auxiliary Variable Exponential Integrator for A Modified Landau-de Gennes Theory for Smectic Liquid Crystals
A relaxed generalized scalar auxiliary variable exponential integrator is proposed for the modified Landau-de Gennes model of smectic-A phases, with proofs of unconditional energy stability, solution boundedness, and optimal error estimates.