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An optimal‐order error estimate for MMOC and MMOCAA schemes for multidimensional advection‐reaction equations |
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| Authors: | Hong Wang |
| Abstract: | In this article, we analyze the modified method of characteristics (MMOC) and an improved version of the MMOC, named the modified method of characteristics with adjusted advection (MMOCAA), for multidimensional advection‐reaction transport equations in a uniform manner. We derive an optimal‐order error estimate for these schemes. Numerical results are presented to verify the theoretical estimates. © 2002 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 18: 69–84, 2002 |
| Keywords: | advection‐reaction equations characteristic methods Eulerian‐Lagrangian methods error estimates the modified method of characteristics the modified method of characteristics with adjusted advection |