Unconditional Stability of a Crank-nicolson Adams-bashforth 2 Implicit-explicit Numerical Method∗

نویسندگان

  • ANDREW JORGENSON
  • Catalin Trenchea
چکیده

Systems of nonlinear partial differential equations modeling turbulent fluid flow and similar processes present special challanges in numerical analysis. Regions of stability of implicit-explicit methods are reviewed, and an energy norm based on Dahlquist’s concept of G-stability is developed. Using this norm, a time-stepping Crank-Nicolson Adams-Bashforth 2 implicit-explicit method for solving spatially-discretized convection-diffusion equations of this type is analyzed and shown to be unconditionally stable.

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تاریخ انتشار 2012