6.3 Numerical dynamics and due diligence » Quiz
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Question 2
If the trajectories that your ODE solver produces with h = 0.1 do not change when you change the time step to h = 0.05, then h = 0.1 is probably a good choice.
- Answer 1
- Answer 2
Question 3
If the trajectories that your ODE solver produces with h = 0.1 do not change when you change the time step to h = 0.2, then h = 0.2 is probably a good choice.
- Answer 1
- Answer 2
Question 4
If the trajectories that your ODE solver produces change when you increase the precision of all the variables (e.g., by going from single-precision to double-precison arithmetic), then the computer's arithmetic system is introducing dynamical error into the solver results.
- Answer 1
- Answer 2
Question 5
The mathematical form of the system derivative affects the error of any ODE solver's solution of that system.
- Answer 1
- Answer 2