Criteria for Adequacy of Finite Difference Schemes for
Convection-Diffusion Equations

Yair Shapira
Los Alamos National Laboratory
MSB-256
Los Alamos, NM87545

e-mail: yairs@lanl.gov and yairs@cs.technion.ac.il

Abstract

Finite difference schemes for singularly perturbed convection problems are
studied in the limit case in which the viscosity approaches zero with the
mesh-size.  The error estimates allow choosing in advance appropriate schemes
and mesh-resolutions for both boundary layer problems and circulating flow
problems.