1. What Does the Calculation of Pi Tell Us about the Trustworthiness of Computers?

2. The steps of scientific computation

3. The steps of scientific computation
Observation of nature

4. The steps of scientific computation
Observation of nature
Construction of a mathematical model

5. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation

6. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation
Program the method

7. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation
Program the method
Execute the program and display the results

8. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation
Program the method
Execute the program and display the results
Interpret the results and compare to observations

9. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation
Program the method
Execute the program and display the results
Interpret the results and compare to observations
(Possibly) Refine

10. 3.
14159
26535
89793
23846
26433
83279
50288
41971
69399
37510
58209
74944
59230
78164
06286
20899
86280
34825
34211
70680

49. The steps of scientific computation
Observation of nature
Construction of a mathematical model
Selection of a computational method to solve the mathematical formulation
Program the method
Execute the program and display the results
Interpret the results and compare to observations
(Possibly) Refine