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8c Up:Appendix
HPrevious:Experiment
8a
Experiment 8b
where 
In this experiment, we set the function value of the jumped discontinuous
point to be the average of the neighouring nodal points. The following
Table H.3 shows the solution error at the
point (1/4, 1/2) and Table H.4 shows the
ratio of two consecutive errors at this point.
TABLE H.3
| |
|
|
|
|
| h=1/4 |
.43892976 10-3
|
-.7627537110-5
|
-.1516193510-5
|
.3826127210-7
|
| h=1/8 |
.1040117910-3
|
-.1898152510-5
|
.1397291610-7
|
.9620302010-9
|
| h=1/16 |
.2457933310-4
|
-.1055349210-6
|
.1165325310-8
|
.8062819510-11
|
| h=1/32 |
.6065682010-5
|
-.5503440210-8
|
.2614504510-10
|
.1254020710-10
|
| h=1/64 |
.1512292910-5
|
-.3194540410-9
|
.1275278210-10
|
|
| h=1/128 |
.3778336410-6
|
-.8010143810-11
|
|
|
| h=1/256 |
.9445240210-7
|
|
|
|
TABLE H.4
|
r(1)
|
.23696681
|
.24885523
|
-.0092157866
|
.025143706
|
|
r(2)
|
.23631295
|
.055598759
|
.083398862
|
.0083810462
|
|
r(3)
|
.24677977
|
.052148048
|
.022435834
|
|
|
r(4)
|
.24931952
|
.058046244
|
|
|
|
r(5)
|
.24984157
|
.025074480
|
|
|
|
r(6)
|
.24998410
|
|
|
|
Cheung Sau Hung
Wed Sep 15 10:03:39 HKT 1999