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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Bibliographic Details

Published in:	Science China. Physics, mechanics & astronomy Vol. 50; no. 1; pp. 53 - 69
Main Authors:	Wang, ShunJin, Zhang, Hua
Format:	Journal Article
Language:	English
Published:	Beijing Springer Nature B.V 01.02.2007 Center of Theoretical Physics,Sichuan University,Chengdu 610064,China
Subjects:	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
Online Access:	Get full text
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