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152<br />
Tabela E.16: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
E com as integrações analítica e regra do retângulo<br />
∆ x<br />
interesse ( )<br />
m<br />
pE<br />
pL Em<br />
Em<br />
pU<br />
Em<br />
Fonte analítico<br />
pE<br />
Em<br />
Fonte numérico<br />
pU<br />
Em<br />
Fonte numérico<br />
Fonte analítico<br />
0,5 2,00000000000000<br />
0,25 2,00000000000000 1,85145283928212 1,41405562974865<br />
0,125 2,00000000000000 1,95842360079072 1,81246145073738 1,85045083380473 1,20393685742746<br />
0,0625 2,00000000000000 1,98929118422954 1,94788155163625 1,96233883138039 1,80972116955841<br />
0,03125 2,00000000000000 1,99730246824107 1,98660414081948 1,99056626519916 1,95272175592051<br />
0,01563 2,00000000000000 1,99932433595397 1,99662746066252 1,99764039269749 1,98819532292142<br />
0,00781 2,00000000000000 1,99983100375209 1,99915538074974 1,99941002449611 1,99704971066275<br />
0,00391 2,00000000000000 1,99995774592063 1,99978875223818 1,99985250151401 1,99926248188159<br />
0,00195 2,00000000000000 1,99998943616653 1,99994718224750 1,99996312509030 1,99981562384673<br />
9,76563E-4 2,00000000000000 1,99999735902203 1,99998679519858 1,99999078125456 1,99995390617251<br />
4,88281E-4 2,00000000000000 1,99999933975428 1,99999669877694 1,99999769531251 1,99998847655630<br />
2,44141E-4 2,00000000000000 1,99999983493849 1,99999917469282 1,99999942382806 1,99999711913990<br />
1,2207E-4 2,00000000000000 1,99999995873462 1,99999979367312 1,99999985595701 1,99999927978503<br />
6,10352E-5 2,00000000000000 1,99999998968365 1,99999994841827 1,99999996398925 1,99999981994626<br />
3,05176E-5 2,00000000000000 1,99999999742091 1,99999998710457 1,99999999099731 1,99999995498657<br />
1,52588E-5 2,00000000000000 1,99999999935523 1,99999999677614 1,99999999774933 1,99999998874664<br />
7,62939E-6 2,00000000000000 1,99999999983881 1,99999999919404 1,99999999943733 1,99999999718666<br />
3,8147E-6 2,00000000000000 1,99999999995970 1,99999999979851 1,99999999985933 1,99999999929667<br />
1,90735E-6 2,00000000000000 1,99999999998993 1,99999999994963 1,99999999996483 1,99999999982417<br />
9,53674E-7 2,00000000000000 1,99999999999748 1,99999999998741 1,99999999999120 1,99999999995604<br />
4,76837E-7 2,00000000000000 1,99999999999935 1,99999999999685 1,99999999999778 1,99999999998901<br />
2,38419E-7 2,00000000000000 1,99999999999988 1,99999999999918 1,99999999999950 1,99999999999721<br />
1,19209E-7 2,00000000000000 2,00000000000082 1,99999999999957 2,00000000000101 1,99999999999900<br />
5,96046E-8 2,00000000000000 2,00000000025670 1,99999999991553 2,00000000034352 1,99999999988684<br />
2,98023E-8 2,00000000000000 2,00000000160857 1,99999999980607 2,00000000215278 1,99999999974043<br />
1,49012E-8 2,00000000000000 1,99999999753007 2,00000000296807 1,99999999669445 2,00000000397223<br />
Tabela E.17: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />
I com as integrações analítica e regra do retângulo<br />
∆ x<br />
interesse ( )<br />
DDS<br />
pE<br />
pL DDS<br />
DDS<br />
pU<br />
DDS<br />
Fonte analítico<br />
pE<br />
DDS<br />
Fonte numérico<br />
pU<br />
DDS<br />
Fonte numérico<br />
Fonte analítico<br />
0,5 2,00000000000000<br />
0,25 2,00000000000000 1,89942434885691 1,41728841825106<br />
0,125 2,00000000000000 1,97264861872531 1,87351184883786 1,85544672152610 1,20719556283140<br />
0,0625 2,00000000000000 1,99300841602897 1,96575311137246 1,96384046113000 1,81611146156253<br />
0,03125 2,00000000000000 1,99824221829837 1,99125674173387 1,99095743454192 1,95460986570518<br />
0,01563 2,00000000000000 1,99955993225394 1,99780253389606 1,99773917009636 1,98868500507140<br />
0,00781 2,00000000000000 1,99988994409815 1,99944990033667 1,99943478041295 1,99717322787614<br />
0,00391 2,00000000000000 1,99997248358810 1,99986242918569 1,99985869434118 1,99929342962595<br />
0,00195 2,00000000000000 1,99999312074473 1,99996560442656 1,99996467353759 1,99982336505882<br />
9,76563E-4 2,00000000000000 1,99999828017666 1,99999140092725 1,99999116838141 1,99995584174276<br />
4,88281E-4 2,00000000000000 1,99999957004357 1,99999785022060 1,99999779209517 1,99998896046557<br />
2,44141E-4 2,00000000000000 1,99999989251086 1,99999946255445 1,99999944802378 1,99999724011826<br />
1,2207E-4 2,00000000000000 1,99999997312771 1,99999986563857 1,99999986200594 1,99999931002968<br />
6,10352E-5 2,00000000000000 1,99999999328193 1,99999996640964 1,99999996550149 1,99999982750743<br />
3,05176E-5 2,00000000000000 1,99999999832048 1,99999999160241 1,99999999137537 1,99999995687686<br />
1,52588E-5 2,00000000000000 1,99999999958012 1,99999999790060 1,99999999784384 1,99999998921921<br />
7,62939E-6 2,00000000000000 1,99999999989503 1,99999999947515 1,99999999946096 1,99999999730480<br />
3,8147E-6 2,00000000000000 1,99999999997376 1,99999999986879 1,99999999986524 1,99999999932620<br />
1,90735E-6 2,00000000000000 1,99999999999344 1,99999999996720 1,99999999996631 1,99999999983155<br />
9,53674E-7 2,00000000000000 1,99999999999836 1,99999999999180 1,99999999999157 1,99999999995789<br />
4,76837E-7 2,00000000000000 1,99999999999956 1,99999999999795 1,99999999999784 1,99999999998948<br />
2,38419E-7 2,00000000000000 1,99999999999990 1,99999999999945 1,99999999999948 1,99999999999730<br />
1,19209E-7 2,00000000000000 2,00000000000130 1,99999999999943 2,00000000000243 1,99999999999849<br />
5,96046E-8 2,00000000000000 2,00000000038727 1,99999999987264 2,00000000074912 1,99999999975354<br />
2,98023E-8 2,00000000000000 2,00000000356454 1,99999999932818 2,00000000689520 1,99999999870042<br />
1,49012E-8 2,00000000000000 2,00000000248772 2,00000000392348 2,00000000481222 2,00000000758953
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