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Event Detecting in Event-based ODE

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Mostafa Nazmi
Mostafa Nazmi 2021 年 6 月 11 日
コメント済み: Bjorn Gustavsson 2021 年 6 月 14 日
Greetings. I'm trying to detect an event of a variable value crossing tha value of zero. The problem I'm facing is that the ode solver is detecting the value at 0.1*(1.0e-14) instead of zero. I'm using ode45 and the odeset options below:
ODEopts = odeset('Events', @event, 'Refine', 8, 'RelTol',...
10^-6, 'AbsTol', 10^-6);
Can I solve this issue by changing the options or the solver?
Thanks in advance

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Bjorn Gustavsson
Bjorn Gustavsson 2021 年 6 月 11 日
In order to advice the contents of the event-function is necessary. The only thing to point out is that the ode-solvers use numerical precision of 32-bit(?) doubles - and 1e-14 look like a "reasonable default" setting of zero-detection. If your use-case is something on atomic scales and you use metres as units for your spatial coordinates (convert to what is sensible to your case) then 1e-14 m is clearly not a good enough precision for an event, but ode45 wouldn't know. Your easiest way forward is then to rescale the ODEs to use Å for your spatial coordinates.
HTH
  2 件のコメント
Bjorn Gustavsson
Bjorn Gustavsson 2021 年 6 月 14 日
Happy to have helped.

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