Timeline for Are there alternative proofs for existence/uniqueness of ODE solutions?
Current License: CC BY-SA 4.0
6 events
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Jul 22, 2022 at 6:07 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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Dec 27, 2015 at 10:29 | comment | added | John B | This does not qualify as a proof, right...? | |
Aug 26, 2010 at 22:32 | comment | added | Pietro Majer | Well, a different proof of a theorem, to be really different, should have at least a different thesis, possibly opposite ;-) However I agree with you, at least partially. It has to be said that it happens often that proofs of a theorem, that are very different in spirit, rely on very similar computations in the core. | |
Aug 26, 2010 at 20:09 | comment | added | Deane Yang | But is this really a new proof? It seems to me that the proof is always along the lines of rewriting the ODE as an integral equation, using a discrete approximation of the definite integral, and iterating. Isn't using Euler or Runge-Kutta just using a better discrete approximation for the integral. | |
Aug 26, 2010 at 18:07 | history | edited | Pietro Majer | CC BY-SA 2.5 |
added 79 characters in body
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Aug 26, 2010 at 17:54 | history | answered | Pietro Majer | CC BY-SA 2.5 |