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• W2966767209 abstract "We consider constant-coefficient initial-boundary value problems, with a first or second derivative in time and a highest spatial derivative of order q, and their semi-discrete finite difference approximations. With an internal truncation error of order p≥1, and a boundary error of order r≥0, we prove that the convergence rate is: min⁡(p,r+q). The assumptions needed for these results to hold are: i) The continuous problem is linear and well-posed (with a smooth solution). ii) The numerical scheme is consistent, nullspace consistent, nullspace invariant, and energy stable. These assumptions are often satisfied for Summation-By-Parts schemes." @default.
• W2966767209 created "2019-08-13" @default.
• W2966767209 creator A5057106073 @default.
• W2966767209 creator A5070487956 @default.
• W2966767209 date "2019-11-01" @default.
• W2966767209 modified "2023-09-30" @default.
• W2966767209 title "On the convergence rates of energy-stable finite-difference schemes" @default.
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• W2966767209 doi "https://doi.org/10.1016/j.jcp.2019.07.018" @default.
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