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math.AP2010
Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1-d wave equation
Aurora-Mihaela Marica, Enrique Zuazua
We perform a complete Fourier analysis of the semi-discrete 1-d wave equation obtained through a P1 discontinuous Galerkin (DG) approximation of the continuous wave equation on an…
math.AP2010
High frequency wave packets for the Schrödinger equation and its numerical approximations
Aurora-Mihaela Marica, Enrique Zuazua
We build Gaussian wave packets for the linear Schrödinger equation and its finite difference space semi-discretization and illustrate the lack of uniform dispersive properties of t…