BIB-VERSION:: CS-TR-v2.0 ID:: STAN//NA-M-80-09 ENTRY:: January 28, 1996 ORGANIZATION:: Stanford University, Department of Computer Science, Numerical Analysis Project TITLE:: Finite-difference methods for singular perturbation and Navier-Stokes problems TYPE:: Manuscript AUTHOR:: Schreiber, Robert S. DATE:: November 1980 PAGES:: 28 ABSTRACT:: The linear equation $\epsilon u_{xx} + xu_x$ = 0, 0 < x < 1, is proposed as a model for investigating interesting features of the behavior of difference methods for realistic multidimensional nonlinear elliptic problems, especially Navier-Stokes problems. We give an analytic and experimental comparison of several difference schemes for this model problem. An unusual scheme for the Navier-Stokes equations is suggested by these results. An experiment shows that this scheme performs better than a more obvious one. NOTES:: [Adminitrivia V1/Prg/19960128] END:: STAN//NA-M-80-09