Algebraic dynamics algorithm: Numerical comparison with Runge–Kutta algorithm and symplectic geometric algorithm

Based on the exact analytical solution of ordinary differential equations, a truncation of the Taylor series of the exact solution to the Nth order leads to the Nth order algebraic dynamics algorithm. A detailed numerical comparison is presented with Runge-Kutta algorithm and symplectic geometric al...

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Vydané v:	Science China. Physics, mechanics & astronomy Ročník 50; číslo 1; s. 53 - 69
Hlavní autori:	Wang, ShunJin, Zhang, Hua
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Beijing Springer Nature B.V 01.02.2007 Center of Theoretical Physics,Sichuan University,Chengdu 610064,China
Predmet:	Algebra Algorithms Controllability Differential equations Dynamical systems Exact solutions Geometric algorithms Runge-Kutta method Taylor series algebraic dynamics algorithm for ordinary differential equations numerical comparison with Runge-Kutta algorithm and symplectic geometric algorithm preserving both geometrical and dynamical fidelity
ISSN:	1672-1799, 1674-7348, 1862-2844, 1869-1927
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