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.
The scalar auxiliary variable (
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2026 2verdicts
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A linear second-order IMEX-RK scheme using product-type construction and projection preserves unit length and Dirichlet energy dissipation for gradient flows of unit vector fields.
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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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A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
A linear second-order IMEX-RK scheme using product-type construction and projection preserves unit length and Dirichlet energy dissipation for gradient flows of unit vector fields.