Search Results - numerical comparison with Runge-Kutta algorithm and symplectic geometric algorithm

Algebraic dynamics algorithm: Numerical comparison with Runge–Kutta algorithm and symplectic geometric algorithm by Wang, ShunJin, Zhang, Hua

“… A detailed numerical comparison is presented with Runge-Kutta algorithm and symplectic geometric algorithm for 12 test models…”
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Comparison of Runge-Kutta Algorithms and Symplectic Algorithms by Ming Zou, Li-Jie Mei

“… It is found that the Runge-Katla algorithm does not conserve the energy of the system, but the symplectic one does…”
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Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems by Bhatt, Ashish, Floyd, Dwayne, Moore, Brian E.

“…Numerical methods for solving linearly damped Hamiltonian systems are constructed using the popular Störmer…”
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Volume-preserving exponential integrators and their applications by Wang, Bin, Wu, Xinyuan

“… This qualitative geometrical property of the analytical solution should be respected in the sense of Geometric Integration…”
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Geometric integration of Hamiltonian systems perturbed by Rayleigh damping by Modin, Klas, Söderlind, Gustaf

“…Explicit and semi-explicit geometric integration schemes for dissipative perturbations of Hamiltonian systems are analyzed…”
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Dynamic Modeling and Verification of Continuum Robot Based on Cable Drive by Zhang, Jie, Peng, Haijun, Zhou, Wenya, Yang, Jinzhao, Wu, Zhigang

“… In the same working condition, the fourth-order Runge-Kutta algorithm and symplectic algorithm are respectively used to solve the system dynamics equation…”
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Integração Geométrica: Uma Aplicação À Mecânica Celeste by Hussein, Marina Cláudia Martins dos Santos

“…The objective of this thesis is to discuss and construct geometric integrators that aim to preserve the qualitative features of a differential equation when it is…”
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