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http://dx.doi.org/10.5666/KMJ.2016.56.4.1179

Note on a Classical Conservative Method for Scalar Hyperbolic Equations  

Lee, Yong Hun (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University)
Kim, Sang Dong (Department of Mathematics, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.4, 2016 , pp. 1179-1189 More about this Journal
Abstract
We provide a combination of the forward Euler method and the trapezoidal quadrature rule leads to a two-step conservative numerical method which possesses TV-stable property together with consistency.
Keywords
Conservative methods; Euler Method; Trapezoidal rule; Taylor expansion; Upwind method;
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