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Experiment 7e

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In this Experiment, we set the function value of the jumped discontinuous point to be zero. The following Table G.9 shows the solution error at the point (3/4, 1/8) and Table G.10 shows the ratio of two consecutive errors at this point.


 

TABLE G.9

 
h=1/8
.3508489410-2
-.9572339310-4
-.1183292010-4
.3849923110-5
h=1/16
.1706383010-2
-.3280553810-4
-.1142246710-5
.2244884310-7
h=1/32
.8367887410-3
-.9058069610-5
-.1231381010-6
.1291858210-8
h=1/64
.4138653310-3
-.2356871010-5
-.1426188710-7
 
h=1/128
.2057542310-3
-.5999141610-6
   
h=1/256
.1025771610-3
     


 

TABLE G.10

r(1)
.48635832
.34271182
.096531264
.058309849
r(2)
.49038740
.27611404
.10780342
.057546761
r(3)
.49458760
.26019572
.11582026
 
r(4)
.49715261
.25453840
   
r(5)
.49854216
     


Cheung Sau Hung

Wed Sep 15 10:03:39 HKT 1999