MATLAB Matlab ODE solver and Convergence question

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Hi all

I am using the ode45, ode113, ode23t (for "stiff" and "nonstiff" problems)... ode Matlab solvers for a system of ODEs. My question has to do with the convergence and the control of the error. Is convergence always guaranteed using these solvers ? Is there a way to check this ?

The only feedback that i m getting from Matlab is the adjustment of the "Relative and Absolute" Tolerances. For example, if Abstol it is too low, Matlab will notify AbsTol was increased to a specific value. However, i never get any errors/messages and everything "looks" to be fine (even though the solution looks weird) - i never know if the solution has converged.

ps I use low tolerances (1e-08 or smaller) for both AbsTol, RelTol.


Thanks in advance
 
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