Timeline for Replacing large-dimensional ODE systems with one PDE [closed]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Dec 17, 2013 at 12:43 | history | closed |
j.c. Andrey Rekalo Stefan Kohl♦ Willie Wong Carlo Beenakker |
Needs details or clarity | |
| Dec 17, 2013 at 7:44 | review | Close votes | |||
| Dec 17, 2013 at 12:43 | |||||
| Jun 8, 2013 at 19:14 | comment | added | András Bátkai | Self-promotion: arxiv.org/abs/1303.6235 | |
| Jun 8, 2013 at 19:12 | comment | added | András Bátkai | In what sense replace? | |
| Jun 8, 2013 at 18:45 | answer | added | Otis Chodosh | timeline score: 2 | |
| May 25, 2013 at 22:27 | comment | added | TerronaBell | "Hamilton-Jacobi" may be a useful keyword. Many Hamiltonian systems can be described in terms of either individual particle trajectories (ODE) or propagation of the corresponding wavefront (PDE). | |
| Apr 24, 2013 at 7:38 | answer | added | Bazin | timeline score: 2 | |
| Mar 26, 2013 at 19:31 | comment | added | Will Jagy | Same answer for vibrating string. That was how it was actually presented in a physics class I took. | |
| Mar 26, 2013 at 17:41 | comment | added | Ben McKay | Clearly the heat equation is an example, in that the motion of the molecules of a heated material is described by a huge system of ODEs, but in a certain limit the material behaves like a continuum. But this sort of ``rescaling'' is really the domain of expertise of physicists. Maybe ask on physics.stackexchange.com. | |
| Mar 26, 2013 at 17:27 | comment | added | Igor Khavkine | The answer obviously depends on the details of a specific case. Would you care to elaborate on yours? Note that the reverse operation is a routine aspect of numerical analysis of PDEs. However the resulting ODEs have special "sparse" structure. | |
| Mar 26, 2013 at 17:22 | history | asked | Abdul Kerimov | CC BY-SA 3.0 |