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Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Abstract : In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artificial boundary conditions for these two full discretization using Z-transformation. We give some numerical benchmark examples from the literature to illustrate our findings.
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Submitted on : Friday, October 30, 2015 - 10:43:19 AM
Last modification on : Monday, April 4, 2022 - 3:24:12 PM
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Christophe Besse, Matthias Ehrhardt, Ingrid Lacroix-Violet. Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation. Numerical Methods for Partial Differential Equations, Wiley, 2016, 35 (5), pp.1455-1484. ⟨10.1002/num.22058⟩. ⟨hal-01105043v3⟩



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