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Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
We propose and study two second-order in time implicit-explicit methods for the coupled Stokes--Darcy system that governs flows in karst aquifers and other subsurface flow systems. The first method is a combination of a second-order backward differentiation formula and the second-order Gear's extrapolation approach. The second is a combination of …