S0

Numerical

algorithm

n = 200

Numerical

algorithm

n = 1000

Monte Carlo

simulation

Times = 106

Milev’s Num.

algorithm

n = 1000

Milev’s M.C.

simulation

times = 107

95

0.002536

(1.619e−4)

0.002668

(3.020e−5)

-

0.0027003

-

95.0001

0.002536

(1.619e−4)

0.002668

(3.020e−5)

0.002737

(0.00012)

0.0027005

0.002673

(0.00007)

100

0.010918

(4.915e−4)

0.011319

(9.055e−5)

0.011167

(0.00025)

0.011414

0.011394

(0.00015)

109.9999

0.002427

(1.550e−4)

0.002553

(2.890e−5)

0.002697

(0.00012)

0.00258415

0.002664

(0.00007)

110

0.002427

(1.550e−4)

0.002553

(2.890e−5)

-

0.0025843

-

CPU

408 ms

2025 ms

7836 s

39 s

hundreds sec.