Scripted HTML version of Foils prepared 11 November 1996

Foil 20 Traditional Iterative Methods as Special Cases of Artificial Time Diffusion Formalism

From CPS615-Basic PDE Solver Discussion and Sparse Matrix Formulation Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 8 November 96. by Geoffrey C. Fox *
Secs 61.9
Different Choices of c1, c2, "k" give
Either Jacobi Iterative Method
  • This is "k" = k
    • c1 = 1
    • c2 = 0
or Gauss Seidel
  • This is gotten with a particular choice of "k" as sometimes k and sometimes k+1
    • c1 = 1
    • c2 = 0
Over relaxation
  • Choose suitable c2 as nonzero value

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