Discrete Euler-Poincaré and Lie-Poisson equations
نویسندگان
چکیده
منابع مشابه
Discrete Euler–Poincaré and Lie–Poisson equations
In this paper, discrete analogues of Euler–Poincaré and Lie–Poisson reduction theory are developed for systems on finite dimensional Lie groupsG with Lagrangians L : TG→ R that areG-invariant. These discrete equations provide ‘reduced’ numerical algorithms which manifestly preserve the symplectic structure. The manifold G×G is used as an approximation of TG, and a discrete Langragian L : G×G→ R...
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In this paper, discrete analogues of Euler-Poincaré and Lie-Poisson reduction theory are developed for systems on finite dimensional Lie groups G with Lagrangians L : TG → R that are G-invariant. These discrete equations provide “reduced” numerical algorithms which manifestly preserve the symplectic structure. The manifold G×G is used as an approximation of TG, and a discrete Langragian L : G×G...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 1999
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/12/6/314