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

  • Authors:
  • Alfio Borzì

  • Affiliations:
  • Karl-Franzens-Universität Graz, Institut für Mathematik, Heinrichstr. 36, 8010, Graz, Austria

  • Venue:
  • Numerische Mathematik
  • Year:
  • 2004

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Abstract

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.