SPEAKER: Miguel Dumett, San Diego State University, Computational Science Research Center
ABSTRACT: Mimetic differences is a numerical method for constructing schemes that can solve partial differential equations. The method is derived from a high-order approximation of the integration by parts and uses a staggered grid. It offers uniform accuracy over the whole discrete domain (including grid point near and at the boundary), it does not uses ghost points, it replicates in the discrete realm differential operators vector calculus identities, and systems of conservation laws with smooth solutions and coefficients it preserves mass, momenta, and energy. During the presentation a brief introduction of the method will be given and some numerical examples will be exhibited.