Semi-implicit Euler method: Difference between revisions

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Example: expressing in matrix form to show it is area preserving
Example: clarifying
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\end{align}</math>
 
Expanding the termSubstituting <math>v_{n+1}</math> in the second equation with the relationsexpression given by the first equation, the iteration can be expressed in the following matrix form
:<math>\begin{bmatrix} x_{n+1} \\v_{n+1}\end{bmatrix} =
\begin{bmatrix}