TITLE:

A MATRIX ANALYSIS APPROACH TO HIGHER-ORDER MIMETIC DIFFERENTIAL OPERATORS (No. 12)

DATE:

Friday, February 7th, 2003

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Jose E. Castillo, Computational Sciences Research Center, San Diego State University

ABSTRACT:

On-dimensional, higher-order approximations to the divergence and gradient (up to the boundary) are constructed which satisfy a global conservation law. Creating a higher-order approximation away from the boundary is simple, but obtaining appropriate behavior near the boundary is difficult, even in one-dimension on a uniform grid. In this presentation techniques,

based on linear algebra, that allow the construction of fourth order approximations both on the boundary and the interior. This is a preliminary step in creating higher-order approximations of the divergence and gradient for nonuniform grids in higher dimensions.

HOST:

Jose Castillo

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