Timeline for Conditions for convergence of Euler's method
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 29, 2023 at 11:58 | comment | added | ViktorStein | The link is down. | |
| S Mar 19, 2015 at 5:33 | history | edited | Vít Tuček | CC BY-SA 3.0 |
deleted 2 characters in body
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| Mar 19, 2015 at 4:41 | review | Suggested edits | |||
| S Mar 19, 2015 at 5:33 | |||||
| Mar 19, 2015 at 4:22 | answer | added | Nawaf Bou-Rabee | timeline score: 5 | |
| Mar 18, 2015 at 3:55 | comment | added | Ryan Budney | John Hubbard presents a slick proof that Euler's method converges to a solution (assuming only a lipschitz bound on $f$) in his undergraduate ODE courses. The proof is an elementary application of the Gronwal inequality. In French ODE literature (which Hubbard follows the conventions of) they tend to call this "the fundamental theorem of differential equations" or something to that effect. | |
| Mar 18, 2015 at 3:44 | answer | added | Armadillo Jim | timeline score: 4 | |
| Oct 26, 2014 at 11:13 | comment | added | David Ketcheson | Clearly $y$ must be $C^1$. If $y'(t)$ fails to be differentiable at finitely many points, it seems straightforward to extend the standard proof by applying it over each interval for which $y$ is $C^2$. The situation in which $y'(t)$ is non-differentiable at infinitely many points seems more interesting. | |
| Oct 26, 2014 at 9:41 | history | asked | John Wong | CC BY-SA 3.0 |