Navarro Navarro, Jhonny E.
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Publication Análisis de algunas propiedades del método “local discontinuous galerkin”(2006) Navarro Navarro, Jhonny E.; Castillo, Paul E.; College of Arts and Sciences - Sciences; Cáceres, Luis F.; Portnoy, Arturo; Department of Mathematics; Velázquez, EsovThe numerical solutions of Partial Differential Equations calculated from a finite difference scheme or finite element scheme generally present errors in amplitude, due to dissipation, and errors in phase due to dispersion. Thus, if we have control over the dissipation and dispersion, we should have numerical solutions closer to real solutions. The objective of this work is to analyze the dissipation, dispersion and stability properties of the Local Discontinuous Galerkin method.