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Written out: $$ \begin{align} u^0 &= I,\\ v^0 &= 0,\\ v^{n+1} &= v^n -\Delta t \omega^2u^{n} \tag{3}\\ u^{n+1} &= u^n + \Delta t v^{n+1} \tag{4} \end{align} $$
Names: Forward-backward scheme, Semi-implicit Euler method, symplectic Euler, semi-explicit Euler, Newton-Stormer-Verlet, and Euler-Cromer.
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