CSc 30100 – Scientific Programming

CSc 30100

1

Calculate 19 .

You should use math.sqrt(19.0) for the value of 19.

Calculate using the two methods we discussed in class,

naive summation and compensated summation. Perform the

summation

N

N

i

N

S

S

=

= ∑

34567 8

8

s for N = 10 ,10 ,10 ,10 ,10 , and 10 . If the

summations for 10 take more than an hour, you can skip

those.

2

Calculate the time of each summation using code such as

start_time = time.time()

end_time = time.time()

elapsed_time = end_time start_time −

3

Calculate the “exact” value of the sum using the expression

*math.sqrt(19.0)

For each of the that you calculate, determine the absolute

and relative errors of the results. Present your resu

N

N

S N

S

=

lts (including

the timing of your calculations) in a table.

Analyse you results as thoroughtly as you can and discuss them.

Are these errors consistent with the expressions for errors that we

discussed in class and that are in the posted classroom

presentations? How do the speeds of the two methods compare?

4

5

Include all of your analysis and discussion in your .ipynb file

and submit the file through Blackboard. The name of the file

you submit should be

lastname_firstname_AS02.ipynb.

Do not clear your results after your last run so that I will be

able to see your results without rerunning your file.

If you collaborate with anyone on this assignment, be sure to

follow the collaboration guidelines in the syllabus.