Solution of lambda-omega systems: Theta-schemes and multigrid methods

Summary. The numerical solution of a time-dependent reaction diffusion lambda-omega system discretized by theta-schemes and finite differences is considered. Stability and accuracy of finite difference theta-schemes for this system are established. To solve the time-implicit evolution equations a nonlinear multigrid method is applied. The convergence properties of this solver are investigated considering a linearized lambda-omega model.Mathematics Subject Classification (1991): 35K57, 65M06, 65M12, 65M55, 65P20, 65P40Revised version received February 3, 2004