A high order, block finite difference, error inhibiting scheme for the transport equation
Numerical Analysis
2024-02-20 v1 Numerical Analysis
Abstract
We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This scheme outperforms the standard fourth-order Finite Difference scheme. We also demonstrate that the proposed scheme is a particular type of nodal-based Discontinuous Galerkin method with .
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Cite
@article{arxiv.2402.11617,
title = {A high order, block finite difference, error inhibiting scheme for the transport equation},
author = {Adi Ditkowski and Anne Le Blanc and Chi-Wang Shu},
journal= {arXiv preprint arXiv:2402.11617},
year = {2024}
}
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16 pages