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Reference.org
Semi-implicit Euler method
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<p>In mathematics, the semi-implicit Euler method, also called symplectic Euler, semi-explicit Euler, Euler–Cromer, and Newton–Størmer–Verlet (NSV), is a modification of the <a href="/facts/Euler_integration/7yF5B4z9">Euler method</a> for solving <a href="/facts/Hamilton%2527s_equations/2ReerlNA">Hamilton's equations</a>, a system of <a href="/facts/Ordinary_differential_equation/ygKGQ8kD">ordinary differential equations</a> that arises in <a href="/facts/Classical_mechanics/ykG8upsN">classical mechanics</a>. It is a <a href="/facts/Symplectic_integrator/ecYqER0X">symplectic integrator</a> and hence it yields better results than the standard Euler method. </p>