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gibson:teaching:spring-2012:iam95:hw1 [2012/02/29 10:24] gibson |
gibson:teaching:spring-2012:iam95:hw1 [2012/02/29 10:25] (current) gibson [Problem 2] |
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versus $r$ where $w(x)$ is the asymptotic state of the PDE simulation and $\hat{w}$ is first the | versus $r$ where $w(x)$ is the asymptotic state of the PDE simulation and $\hat{w}$ is first the | ||
- | the ODE model from (b), second the reduced-order model from (c), and third the reduced-order | + | the ODE model from (b), second the reduced-order model from %%(c)%%, and third the reduced-order |
equilibrium. Plot these as three lines in log-log plot of error versus $r$. I suggest | equilibrium. Plot these as three lines in log-log plot of error versus $r$. I suggest | ||
using $r = 1/16, 1/8, 1/4, 1/2,$ and $1$. | using $r = 1/16, 1/8, 1/4, 1/2,$ and $1$. |