Changes between Initial Version and Version 1 of Ticket #6201, comment 13


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Timestamp:
2020-11-24T18:31:29Z (4 years ago)
Author:
Francesco Casella

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  • Ticket #6201, comment 13

    initial v1  
    1111There are two exact solutions of this problem, {{{x = +/-sqrt(time)}}}. But, again, if you subtract {{{eps}}} from time in the first equation, or if you subtract {{{eps}}} from {{{y}}} in the second equation, '''boom'''!
    1212
    13 Also in this case, you can see there is something fishy here because the Jacobian of the implicit equation {{{y = x^2}}} is zero when {{{time = 0}}}. Even if you don't solve it numerically, this singularity is a revealing sign of ill-posedness.
     13Also in this case, you can see there is something fishy here because the Jacobian of the implicit equation {{{y = x^2}}} is zero when {{{time = 0}}}. Even if you don't solve it numerically, this singularity is a revealing sign of ill-posedness, because it tells you that the function is not locally invertible when {{{time = 0}}}.