Basic HTML version of Foils prepared 15 March 1996

Foil 19 SLOR or Successive Line Over Relaxation Exemplified for Laplace's Equation

From Further PDE Solvers for the NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 This is a variant of Gauss-Seidel where we solve not for single points at a time but for lines
2 We illustrate for Laplace case where simple Gauss-Seidel reads:
3 With two terms already known at n+1'th iteration and two yet to be determined
4 We now write the more general equation:
5 where we solve for all values of i at fixed j using known value at n+1'th iteration at index j-1 and using old n'th iteration value at index j+1
in Table To:

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