Chebyshev symplectic methods based on continuous-stage Runge-Kutta methods

Abstract

We develop Chebyshev symplectic methods based on Chebyshev orthogonal polynomials of the first and second kind separately in this paper. Such type of symplectic methods can be conveniently constructed with the newly-built theory of weighted continuous-stage Runge-Kutta methods. A few numerical experiments are well performed to verify the efficiency of our new methods.

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References in corpus (1)

• Continuous-stage Runge-Kutta methods based on weighted orthogonal polynomials

Cited by in corpus (3)

• An extended framework of continuous-stage Runge-Kutta methods
• Continuous-stage Runge-Kutta-NystrÖm methods
• Symplectic integration with Jacobi polynomials