Basic HTML version of Foils prepared 8 November 1995

Foil 31 Decoupling of Even and Odd Grid Point Updates in Basic Jacobi Iteration

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox
1 There is a minor confusion as shortest wavelength eigensolutions with n = (N-1) has a large eigenvalue whose modulus |lN-1| = l1 (lN-1 = -l1) is equal to that of "difficult" long wavelength case
2 One would expect it to be damped strongly. This is an artifact of this iteration scheme as even (l = 0, 2, 4 ....) and odd grid points are decoupled
3 Update of even l points only involves odd l
4 Update of odd l points only involves even l
5 We will return to this when we discuss relaxation
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