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• W2813233005 abstract "We develop continuous-stage Runge-Kutta-NystrOm (csRKN) methods in this paper. By leading weight function into the formalism of csRKN methods and modifying the original pattern of continuous-stage methods, we establish a new and larger framework for csRKN methods and it enables us to derive more effective RKN-type methods. Particularly, a variety of classical weighted orthogonal polynomials can be used in the construction of RKN-type methods. As an important application, new families of symmetric and symplectic integrators can be easily acquired in such framework. Numerical experiments have verified the effectiveness of the new integrators presented in this paper." @default.
• W2813233005 created "2018-07-19" @default.
• W2813233005 creator A5001488343 @default.
• W2813233005 date "2018-07-09" @default.
• W2813233005 modified "2023-09-27" @default.
• W2813233005 title "Continuous-stage Runge-Kutta-NystrOm methods" @default.
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