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Experiment 7c

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In this experiment, we set the function value of the jumped discontinuous point to be zero. The following Table G.5 shows the solution error at the point (3/8, 3/8) and Table G.6 shows the ratio of two consecutive errors at this point.

TABLE G.5

 
h=1/8
.1181890110-1
.8147652110-3
-.2271223110-4
-.1006865910-5
h=1/16
.6316833210-2
.1866571310-3
-.3720036510-5
-.7770112110-7
h=1/32
.3251745210-2
.4387425510-4
-.5329930410-6
-.5477268210-8
h=1/64
.1647809710-2
.1056881910-4
-.7141674010-7
 
h=1/128
.8291892710-3
.2588642210-5
   
h=1/256
.4158889610-3
     


 

TABLE G.6

r(1)
.53446874
.22909315
.16379001
.077171273
r(2)
.51477458
.23505266
.14327629
.070491495
r(3)
.50674626
.24088885
.13399188
 
r(4)
.50320693
.24493202
   
r(5)
.50156095
     

 


Cheung Sau Hung

Wed Sep 15 10:03:39 HKT 1999