The Symplectic Splitting Method
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)