Symplectic Integrator

Symplectic Integrator

Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1312-3751-5
Объём: 124 страниц
Масса: 209 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! In mathematics, a symplectic integrator (SI) is a numerical integration scheme for a specific group of differential equations related to classical mechanics and symplectic geometry. Symplectic integrators form the subclass of geometric integrators which, by definition, are canonical transformations. They are widely used in molecular dynamics, discrete element methods, accelerator physics, and celestial mechanics.The time evolution of Hamilton's equations is a symplectomorphism, meaning that it conserves the symplectic two-form dp wedge dq. A numerical scheme is a symplectic integrator if it also conserves this two-form.

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