An energy conservative discontinuous Galerkin scheme for a generalised third order KdV type equation is designed. Based on the conservation principle, we propose techniques that allow for the derivation of optimal a priori bounds for the linear KdV equation and a posteriori bounds for the linear and modified KdV equation. Extensive numerical experiments showcasing the good long time behaviour of the scheme are summarised which are in agreement with the analysis proposed.
翻译：根据保护原则,我们建议采用一些技术,以便得出线性KdV方程式的最佳前置界限和线性及经修改的KdV方程式的后继界限。
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55+阅读 · 2020年3月13日
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55+阅读 · 2020年3月13日
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Arxiv
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