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lang-mma
NDSolveand itsWhenEventfeatures to detect crossings of the section plane. Simple example:NDSolve[{y[0] == 0, y'[0] == 1, y''[t] == -y[t], WhenEvent[y[t] == 0, Sow[t]]}, y[t], {t, 0, 10}] // Reap$\endgroup$