Numerical integration/Gauss-Legendre Quadrature: Difference between revisions

m
→‎version 2: changed the uppercase E to lowercase e in exponentiated numbers for better readability. -- ~~~~
m (→‎version 2: changed the wording in the REXX version 2 section header comments. -- ~~~~)
m (→‎version 2: changed the uppercase E to lowercase e in exponentiated numbers for better readability. -- ~~~~)
Line 1,273:
end /*m*/
z=bma*sum*.5
say right(step,4) format(z,2,digs) translate(format(z-true,2,4,,0),'e',"E")
end /*step*/
 
Line 1,300:
step iterative value difference
──── ─────────────────────────────────────────── ────────────
1 6.0000000000000000000000000000000000000000 -1.4036E4036e+1
2 17.4874646410555689643606840462449458421154 -2.5483
3 19.8536919968055821921309108927158495960775 -1.8206E8206e-1
4 20.0286883952907008527738054439857661647073 -7.0615E0615e-3
5 20.0355777183855621539285357252750939315016 -1.7214E7214e-4
6 20.0357469750923438830654575585499253741530 -2.8797E8797e-6
7 20.0357498197266007755718729372891903369401 -3.5093E5093e-8
8 20.0357498544945172882260918041683132616237 -3.2529E2529e-10
9 20.0357498548174338368864419454858704839263 -2.3700E3700e-12
10 20.0357498548197898711175766908543458234008 -1.3927E3927e-14
11 20.0357498548198037305529147159697031241994 -6.7396E7396e-17
12 20.0357498548198037976759531014454017742327 -2.7323E7323e-19
13 20.0357498548198037979482458119092690701863 -9.4143E4143e-22
14 20.0357498548198037979491844483599375945130 -2.7906E7906e-24
15 20.0357498548198037979491872317401917248453 -7.1915E1915e-27
16 20.0357498548198037979491872389153958789316 -1.6260E6260e-29
17 20.0357498548198037979491872389316236038179 -3.2517E2517e-32
18 20.0357498548198037979491872389316560624361 -5.7920E7920e-35
19 20.0357498548198037979491872389316561202637 -9.2480E2480e-38
20 20.0357498548198037979491872389316561203561 -1.3313E3313e-40
21 20.0357498548198037979491872389316561203562 2.0044E0044e-43
──── ─────────────────────────────────────────── ────────────
20.035749854819803797949187238931656120356208246365726928811306502092785210360717 {exact}