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02-19 Long-Term Behavior

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    We've seen errors appearing on different time scales.
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    The LTE, the local truncation error, that happens at each time step.
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    There is one more time scale that when they look into mainly what happens in the long run,
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    what happens if this system runs for 1,000 years, 10,000 years for the age of the universe,
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    is this solution going to explode or to implode in the long run or will it stick close to the exact solution.
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    The GTE for one final time does not tell us much about that form.
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    One way of looking at the long-term error is for instance to look at energy.
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    If the systems is such that energy should be conserved, we can look at the long-term evolution
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    of energy to learn whether there is an issue.
Title:
02-19 Long-Term Behavior
Team:
Udacity
Project:
CS222 - Differential Equations
Duration:
0:48
Amara Bot edited English subtitles for 02-19 Long-Term Behavior
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