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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 />

II - If the solution is smooth: to split H=T+V<br />

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

High-order <strong>Splitting</strong>-decomposition methods (with possible complex<br />

coefficients)

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