Romberg Integration | |||||||||
Composite Trapezoid rule applied to y = cos(x) on the interval [0,π/2] | |||||||||
i | O(h^2) | O(h^4) | O(h^6) | O(h^8) | O(h^10) | ||||
h | 0.78539816350000 | ||||||||
h/2 | 0.94805944890000 | 1.00227987736667 | |||||||
h/4 | 0.98711580110000 | 1.00013458516667 | 0.99999156568667 | ||||||
h/8 | 0.99678517200000 | 1.00000829563333 | 0.99999987633111 | 1.00000000824610 | |||||
h/16 | 0.99919668060000 | 1.00000051680000 | 0.99999999821111 | 1.00000000014571 | 1.00000000011395 | ||||