Consider a person who has never heard of symplectic Euler but knows about Initial Value Problems, forward Euler, backward Euler, and Taylor series. Say, you are required to give them an idea of what the symplectic Euler method is in a short manner only for the case of a typical initial value problem of the second order. Would the attached illustration be acceptable?

Or would it create confusion that it is a combination of forward Euler and backward Euler?

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