Proposes GSAV-GBDFk ensemble schemes for the Navier-Stokes-Darcy system with random tensors that deliver high-order accuracy, long-time stability without time-step restrictions, and efficiency via shared matrices across realizations.
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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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High-order, long-time stable and parallel decoupled GBDF$k$ SAV ensemble schemes for the Navier--Stokes--Darcy flow with random hydraulic conductivity tensors
Proposes GSAV-GBDFk ensemble schemes for the Navier-Stokes-Darcy system with random tensors that deliver high-order accuracy, long-time stability without time-step restrictions, and efficiency via shared matrices across realizations.
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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.