Timeline for Finite difference for a highly nonlinear equation - The wind within the forest
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| May 16, 2019 at 4:45 | review | Close votes | |||
| May 19, 2019 at 18:09 | |||||
| May 15, 2019 at 13:22 | answer | added | David Ketcheson | timeline score: 1 | |
| May 15, 2019 at 9:37 | comment | added | fedja | "What is arriving to 0?" The solution of the initial value problem at $H$. Also, do you expect some a priori properties of the solution? (I would expect it at least to be increasing, perhaps even convex, but it may be too naive). Actually, if you could give a typical example of the coefficients you are dealing with, that might make things clearer too. | |
| S May 15, 2019 at 8:43 | history | suggested | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing and formatting
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| May 15, 2019 at 6:27 | comment | added | Matt | You are probably right, there is no need to have BC on the derivatives. What do you mean by "if the height is small enough and the coefficients are tame enough, you may arrive to 0 with data incompatible " ? What is arriving to 0 ? | |
| May 15, 2019 at 5:25 | review | Suggested edits | |||
| S May 15, 2019 at 8:43 | |||||
| May 15, 2019 at 2:22 | comment | added | fedja | Are you sure that you want the boundary conditions for both the value and the derivative for a second order ODE? At $0$ you have a singularity, of course, but at $H$ the IVP is locally well-posed (if $K\ne 0$) and if the height is small enough and the coefficients are tame enough, you may arrive to $0$ with data incompatible with the boundary values there, so no numerical scheme will give you anything meaningful. | |
| May 14, 2019 at 23:37 | history | edited | Matt | CC BY-SA 4.0 |
Express boundary conditions
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| May 14, 2019 at 23:25 | review | First posts | |||
| May 15, 2019 at 1:03 | |||||
| May 14, 2019 at 23:24 | history | asked | Matt | CC BY-SA 4.0 |