integ_romberg 実行例

help出力 integ_romberg.py --help

Numerical integration using by Romberg extrapolation method

eps for convergnece: 1e-06
Analytical values:
  f(1.0)=2.718281828459045
  integ(f)[1.0, 2.0]=4.670774270471606

S00 = 5.0536689636948475
  S[1][0] = 4.767679017016457
     S[1][1] = 4.672349034790327
  diff = S[1][1] - S[0][0] = 4.672349034790327 - 5.0536689636948475 = -0.3813199289045208
  S[2][0] = 4.695075916875121
     S[2][1] = 4.670874883494675
     S[2][2] = 4.670776606741631
  diff = S[2][2] - S[1][1] = 4.670776606741631 - 4.672349034790327 = -0.0015724280486955067
  S[3][0] = 4.6768544246061605
     S[3][1] = 4.67078059384984
     S[3][2] = 4.6707743078735176
     S[3][3] = 4.670774271383547
  diff = S[3][3] - S[2][2] = 4.670774271383547 - 4.670776606741631 = -2.335358083804806e-06
  S[4][0] = 4.6722946058270365
     S[4][1] = 4.670774666233995
     S[4][2] = 4.670774271059605
     S[4][3] = 4.670774270475257
     S[4][4] = 4.670774270471695
  diff = S[4][4] - S[3][3] = 4.670774270471695 - 4.670774271383547 = -9.118528154772321e-10

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