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The Symplectic Splitting Method

The Symplectic Splitting Method

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<strong>The</strong> <strong>Method</strong>s Considered<br />

I - If the solution is not smooth: methods which involve products H c<br />

Polynomial approximations to the action of the exponential on a vector<br />

1 – Taylor<br />

2 – Chebyshev<br />

3 – <strong>Splitting</strong> (real + imaginary parts)<br />

If we consider the following problems are equivalent<br />

or, in short: z’ = M z with z = (q,p) T

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