<p> Custom bar Size/Fill </p>

2158f3eb-7e22-41eb-a257-9b61e93e3ad0 29 3 5 auto

&[DATE] &[TIME] - &[FILENAME]

Analysing Rkadapt

In this example, we give ourself a target value from other source for comparative purpose wrt Rkadapt stability. An adopted step size is generally taken not to exceed 0.001 the range of the solution. This demo reveals that much smaller step size will be as good. Maybe not a good rule, unless not exigent about accuracy and if the computation time is of concern. We could use the target value to discriminate the Δ's at once [just not done so !]

Rkadapt 50 1.494287 75 1.493620 100 1.493438 125 1.493402 150 1.496460 175 1.495543 200 1.495040 225 1.494573 250 1.494318 275 1.494047 300 1.493899 325 1.493733 350 1.493641 375 1.493533 400 1.493470 425 1.493421 450 1.493357 475 1.493323 500 1.493287 525 1.493246 202 mat :

x f x - exp x sqrt / :

ε 107 -^:

target 1.493648 :

N 125 :

max 'N' ... < 10000 ... unknown sol 0 ε 1 N x f Rkadapt :

sol N 1 + row 1.000000 1.493402 12 mat

Follow Rkadapt cumulative solving steps

sol 1 2 1 1 2 2 mat 1 target o 7 green 1 5 mat 3 1 sys

Function to be integrated

x f 1 2 1 2 - 2 2 mat 2 1 sys

ε f 3162

The puzzling dn_GearsBDF wrt last solution

n 1000 :

SOL 0 ε 1 n x f dn_GearsBDF :

SOL rows 1001

apparent cycling solutions SOL n 0 - row 0.999000 1.493088 12 mat

fixed value, no matter 'n' SOL n 1 + row 1.000000 1.493457 12 mat

Expose Rkadapt step size 'n'

Rkadapt Rkadapt 120 range 12 range el :

stability Rkadapt 1 col Rkadapt 2 col 1.49 - augment :

stability 50 0.0043 75 0.0036 100 0.0034 125 0.0034 150 0.0065 175 0.0055 200 0.005 225 0.0046 250 0.0043 275 0.004 300 0.0039 325 0.0037 350 0.0036 375 0.0035 400 0.0035 425 0.0034 450 0.0034 475 0.0033 500 0.0033 525 0.0032 202 mat

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

Analysing Rkadapt stability

stability 3 BarSize

Stability stability 2 BarSize : x mean stability 2 col Min : stability 2 col Mean 31 line

<p> Custom bar Size/Fill </p>

j v Bar data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - range V V stem j el stack : for V V data data rows row stack : 71 line : ----------------------------------------------- L H N xd U 0 : dx H L - N / : i 1 N range U i el L dx - (dx i * + : for U 41 line : --------------------------- N X j el : U N size - N size + fill xd : 21 line p i 1 U rows range Y i el v : for U Y augment 21 line : Bar p Stem : 71 line :

fill 7 : size 4 : 21 line

1. If you set size = 0, set 'fill ≥ 2' 2. For 'size ≥ 0' ... fill at will.

data 50 0.0043 75 0.0036 100 0.0034 125 0.0034 150 0.0065 175 0.0055 200 0.005 225 0.0046 250 0.0043 275 0.004 300 0.0039 325 0.0037 350 0.0036 375 0.0035 400 0.0035 425 0.0034 450 0.0034 475 0.0033 500 0.0033 525 0.0032 202 mat :

X data 1 col : v data 2 col : 21 line

for individual bar color barplot 1 v 1 el Bar 2 v 2 el Bar 3 v 3 el Bar 4 v 4 el Bar 5 v 5 el Bar 6 v 6 el Bar 61 sys :

plot barplot 00505 - 22 mat 31 sys :

stability i 1 data rows range barplot i el i v i el Bar : for barplot 21 line :

stability 150 0.0075 150 0 2 2 mat x mean 3 1 sys

0.0065

n 150 ≡