Generalized OCI schemes for boundary layer problems

Alan E. Berger, Jay M. Solomon, Melvyn Ciment, Stephen H. Leventhal, Bernard C. Weinberg
1980 Mathematics of Computation  
A family of tridiagonal formally fourth-order difference schemes is developed for a class of singular perturbation problems. These schemes have no cell Reynolds number limitation and satisfy a discrete maximum principle. Error estimates and numerical results for this family of methods are given, and are compared with those for several other schemes.
doi:10.1090/s0025-5718-1980-0572850-8 fatcat:pr35ckcqzrdobezk7x4xyv7yw4