U. M. ASCHER AND S. REICH, On some difficulties in integrating highly oscillatory Hamiltonian systems, Lecture Notes in Computational Science and Engineering, (to appear).  Home/Search   Document Details and Download   Summary   Related Articles   Check

....of the system [10] For Coulombic fewbody problems, time reversible schemes can also be applied in concert with Kustaanheimo Stiefel transformations [10] and appear to demonstrate excellent long term preservation properties. Energy conserving schemes have been considered by several authors [12 15]. These methods can preserve energy and or angular momentum, as well as reversing symmetry, but not simultaneously energy and symplectic structure, due to a celebrated result of Ge and Marsden [16] While reversible energy momentummethods have occasionally proven effective, these methods are ....

U. M. ASCHER AND S. REICH, On some difficulties in integrating highly oscillatory Hamiltonian systems, Lecture Notes in Computational Science and Engineering, (to appear).

....of the system [10] For Coulombic few body problems, time reversible schemes can also be applied in concert with Kustaanheimo Stiefel transformations [10] and appear to demonstrate excellent long term preservation properties. Energy conserving schemes have been considered by several authors [12 15]. These methods can preserve energy and or angular momentum, as well as reversing symmetry, but not simultaneously energy and symplectic structure, due to a celebrated result of Ge and Marsden [16] While reversible energy momentum methods have occasionally proven effective, these methods are ....

U. M. Ascher and S. Reich, On some difficulties in integrating highly oscillatory Hamiltonian systems, Lecture Notes in Computational Science and Engineering, (to appear) .

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