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Jitse Niesen (talk | contribs) m moved Euler-Cromer algorithm to Euler–Cromer algorithm: en dash instead of hyphen between names |
Jitse Niesen (talk | contribs) →The method: Euler increases energy, per talk |
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The difference with the standard Euler method is that the Euler–Cromer method uses <math>v_{n+1}</math> in the equation for <math>x_{n+1}</math>, while the Euler method uses <math>v_n</math>.
The Euler–Cromer method is a [[Numerical ordinary differential equations#Consistency and order|first-order integrator]], just as the standard Euler method. This means that it commits an global error of the order of Δt. However, the Euler–Cromer method is a [[symplectic integrator]], unlike the standard method. As a consequence, the Euler–Cromer method almost conserves the energy (when the Hamiltonian is time-independent). Often, the energy
== Example ==
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