A hybrid method of fractional steps with predictor-corrector difference-pseudospectrum for numerical solution of the convection-dominated flow problems

摘要

A fractional-step method of predictor-corrector difference-pseudospectrum with unconditional L~2-stability and exponential convergence is presented. The stability and convergence of this method is strictly proved mathematically for a nonlinear convection-dominated flow. The error estimation is given and the superiority of this method is verified by numerical test.