A superconvergent stencil-adaptive SBP-SAT finite difference scheme

07/26/2023

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A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate 𝒪(Δ x^4) in contrast to a conventional scheme, which converges at a rate 𝒪(Δ x^3).

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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

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