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Reference.org
Backward Euler method
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<p>In <a href="/facts/Numerical_analysis/QT9cYa9z">numerical analysis</a> and <a href="/facts/Scientific_computing/PnVD19hw">scientific computing</a>, the backward Euler method (or implicit Euler method) is one of the most basic <a href="/facts/Numerical_methods_for_ordinary_differential_equations/rbrYBco3">numerical methods for the solution of ordinary differential equations</a>. It is similar to the (standard) <a href="/facts/Euler_method/7yF5B4z9">Euler method</a>, but differs in that it is an <a href="/facts/Explicit_and_implicit_methods/jnJhWfuh">implicit method</a>. The backward Euler method has error of order one in time. </p>