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Foil 11 Analysis of Richardson's Method for Laplace or Poisson Equation

From Spatial Differencing and ADI Solution of the NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 This is identical upto scale factor with that of relaxation for Jacobi method and one finds the plot of eigenvalues of iteration matrix
2 G= 1 + wfaketimeK as below
3 The optimal choice of wfaketime is 0.25 for a normalization where diagonal terms of K for Laplace equation is -4. This is identical to w=1 being optimal for relaxation analysis of Jacobi Over Relaxation.
in Table To:

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