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Xinyuan Wu
Researcher at Nanjing University
Publications - 171
Citations - 3248
Xinyuan Wu is an academic researcher from Nanjing University. The author has contributed to research in topics: Hamiltonian system & Nonlinear system. The author has an hindex of 30, co-authored 166 publications receiving 2858 citations. Previous affiliations of Xinyuan Wu include Qufu Normal University.
Papers
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Journal ArticleDOI
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems
TL;DR: The trigonometric Fourier collocation methods are significantly more efficient in comparison with alternative approaches that have previously appeared in the literature and allow for arbitrary high-order symplectic methods to deal with a special class of systems of second-order ODEs in an efficient way.
Book
Structure-Preserving Algorithms for Oscillatory Differential Equations
Xinyuan Wu,Xiong You,Bin Wang +2 more
TL;DR: A large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation are described.
Journal ArticleDOI
ERKN integrators for systems of oscillatory second-order differential equations
TL;DR: Numerical experiments accompanied demonstrates that the ERKN methods are more efficient than the existing methods for the computation of oscillatory systems and show the energy conservation in the numerical experiments for problems with Hamiltonian H ( p, q ) in comparison with the well-known methods in the scientific literature.
Journal ArticleDOI
A trigonometrically fitted explicit hybrid method for the numerical integration of orbital problems
Yonglei Fang,Xinyuan Wu +1 more
TL;DR: A kind of trigonometrically fitted explicit two-step hybrid method which achieves algebraic order six is presented which is zero dissipative, phase fitted, and almost P-stable.
Journal ArticleDOI
Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
Bin Wang,Xinyuan Wu,Fanwei Meng +2 more
TL;DR: A kind of trigonometric collocation methods based on Lagrange basis polynomials is developed for effectively solving multi-frequency oscillatory second-order differential equations.