Basic HTML version of Foils prepared 8 November 1995
| 1 | For w=1/2, one has |
| 2 | x(k+1) =1/2[x(k) + x(k+1 ) ] where J denotes Pure Jacobi |
| 3 | and subscript JOR stands for Jacobi Over Relaxation again |
| 4 | This has "update" matrix in two dimensions |
| 5 | xpoint = 1/2 xpoint + 1/8 times x of four neighbors |
| 6 | We now "couple" even and odd grid points which were decoupled in original Jacobi |
| 7 | Corresponding eigenvalue of most rapidly varying eigenfunction is |
| 8 | now lJOR|min ~ 0 |
| 9 | not lJOR|min ~ -1 as before |