Early exit instead of a warning in ODE113?

While running a code that uses ODE113, the program will run, possibly indefinitely, until manually paused. Once paused, the error "Unable to meet integration tolerances without reducing the

step size below the smallest value allowed" appears.

Is there a way to tell ODE113 to generate an error instead of a warning (or something else that would stop the code), so the program won't be stuck in futile calculation?

Answer 1

[Bjorn Gustavsson]

The brute-forciest way to do this might be to give ode113 an event that interrupts after some suitably long time, i.e. long enough to let a successful integration complete and short enough to not get on your nerves (if this is possible...). Perhaps something like:

function [position,isterminal,direction] = your_patienceEvent(t,y,t0,dt)
position = etime(datevec(t),datevec(t0))<dt; % The elapsed time that we can manage to wait?
isterminal = 1;  % Halt integration 
direction = 0;   % The zero can be approached from either direction

Then set the eventfunction-field of the ode-options struct to something like:

ops113 = odeset;
t0 = now;
ops113.event = @(t,y) your_patienceEvent(t,y,t0,600);

That will limit the running-time of ode113 to 10 minutes after you assign t0. Perhaps you have some more appropriate diagnostic for when the integration runs into problems (some problematic values of y(t) would be more sensible to use for aborting integration).

HTH

Answer 2

[Jan]

In the current version of Matlab ODE113 does stop, when the integration tolerance is not met. The warning is shown an the integration is stopped. This means, that the code does already, what you want.