The Complete Characterization of Fourth-Order Symplectic Integrators with Extended-Linear Coefficients
Chin, Siu A.
arXiv, 0511031 / Harvested from arXiv
Text on arXiv
The structure of symplectic integrators up to fourth-order can be completely and analytical understood when the factorization (split) coefficents are related linearly but with a uniform nonlinear proportional factor. The analytic form of these {\it extended-linear} symplectic integrators greatly simplified proofs of their general properties and allowed easy construction of both forward and non-forward fourth-order algorithms with arbitrary number of operators. Most fourth-order forward integrators can now be derived analytically from this extended-linear formulation without the use of symbolic algebra.
Publié le : 2005-11-08
Classification:  Mathematical Physics,  Astrophysics,  Physics - Computational Physics 
@article{0511031,
     author = {Chin, Siu A.},
     title = {The Complete Characterization of Fourth-Order Symplectic Integrators
  with Extended-Linear Coefficients},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511031}
}

Chin, Siu A. The Complete Characterization of Fourth-Order Symplectic Integrators
  with Extended-Linear Coefficients. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511031/