Basic Training 4th Annual ICP Conference

IV “Textbook” Example ! "#$%&'̅ ! ")* + ")* ,- "#$%&' ".&/)0.1 ,- "#$%&' 2 = + "#$%&' 4 5.$6 = 7 0 8 0 9 = 8 : 9 + 8 9 9 + ⋯ = = : > : ∗ 100 9 + = 9 > 9 ∗ 100 9 + ⋯ Error Budget Density Intensity NIST C std Smpl soln wt

u_x

u_x/x

0.00071

0.004040061

0.001375184

% 4 5.$6 = 0.4268 H 5I#J = 4 KKL 4 5.$6 = 4.2637 KKL Using <⅓ rule:

% 4 5.$6 = 0.4336 H 5I#J = 4 KKL 4 5.$6 = 4.3321 KKL Using all:

0.0003

3.00E-06

Smpl alq wt

0.014 0.000294975

k=2 @ 95%

Enhanced IV “Textbook” Example ! "#$%&'̅ ! ")* + ")* ,- "#$%&' ".&/)0.1 ,- "#$%&' 2 = + "#$%&' 4 5.$6 = 7 0 8 0 9 = 8 : 9 + 8 9 9 + ⋯ = = : > : ∗ 100 9 + = 9 > 9 ∗ 100 9 + ⋯ % 4 5.$6 = 0.4268 H 5I#J = 4 KKL 4 5.$6 = 4.2637 KKL Using <⅓ rule: k=2 @ 95% % 4 5.$6 = 0.4378 H 5I#J = 4 KKL 4 5.$6 = 4.3734 KKL Using all: Error Budget Density Intensity NIST C std NIST alq wt NIST alq wt (serial) NIST soln wt NIST soln wt (serial) Smpl soln wt Smpl soln wt (serial) Smpl alq wt Smpl alq wt (serial)

u_x

u_x/x

0.00071

0.004040061 0.001375184

0.0003 0.0003

0.0006

0

0.014

2.80E-05

0.0003 0.0003 0.0003

0

3.00E-06 0.00E+00

0.014 0.000294975

0.0003

0