The Symplectic Splitting Method

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The Symplectic Splitting Method Taylor and Chebyshev methods consider vector-matrix products to approximate A first order approximation can be written with or
The linear time dependent SE with H real and can be reformulated using real variables as the Hamiltonian system: with formal solution: The Symplectic Splitting Method
Page 1 and 2: Splitting and composition methods f
Page 3 and 4: The Methods Considered I - If the s
Page 5 and 6: The Methods Considered I - If the s
Page 7 and 8: The Taylor Method An m-stage Taylor
Page 9 and 10: The Chebyshev Method The Chebyshev
Page 11: Taylor order tol=inf tol=10 -8 tol=
Page 15 and 16: The Symplectic Splitting Method The
Page 17 and 18: Error bounds: Splitting Methods: va
Page 19 and 20: LOG(ERROR) 0 -2 -4 -6 -8 -10 -12 Po
Page 21 and 22: LOG(ERROR) 0 -2 -4 -6 -8 -10 -12 Po
Page 23 and 24: References SB, F. Casas, and A. Mur
Page 25 and 26: Splitting methods with complex coef
Page 27 and 28: Splitting methods with complex coef
Page 29 and 30: Splitting for perturbed systems Add
Page 31 and 32: Splitting for perturbed systems Add

The Symplectic Splitting Method

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