28 citations · 55 across the 6 of their papers we have counts for
6 papers
A sixth order averaged vector field method
Haochen Li, Yushun Wang, Mengzhao Qin
In this paper, based on the theory of rooted trees and B-series, we propose the concrete formulas of the substitution law for the trees of order =5. With the help of the new substi…
Numerical Implementation of the Multisymplectic Preissman Scheme and Its Equivalent Schemes
Yushun Wang, Bin Wang, Mengzhao Qin
We analyze the multisymplectic Preissman scheme for the KdV equation with the periodic boundary condition and show that the unconvergence of the widely-used iterative methods to so…
Multi-symplectic Birkhoffian Structure for PDEs with Dissipation Terms
Hongling Su, Mengzhao Qin
The multi-symplectic form for Hamiltonian PDEs leads to a general framework for geometric numerical schemes that preserve a discrete version of the conservation of symplecticity. T…
A Recurrence Formula of Solutions for Burgers Equations
Hongling Su, Mingling Wang, Mengzhao Qin
A Backlund transformation(BT) and a recurrence formula are derived by the homogeneous balance(HB) method. A initial problem of Burgers equations is reduced to a initial problem of…
Symplectic Schemes for Birkhoffian System
Hongling Su, Mengzhao Qin
A universal symplectic structure for a Newtonian system including nonconservative cases can be constructed in the framework of Birkhoffian generalization of Hamiltonian mechanics.…
Multisymplectic Geometry and Multisymplectic Preissman Scheme for the KP Equation
Tingting Liu, Menzhao Qin
The multisymplectic structure of the KP equation is obtained directly from the variational principal. Using the covariant De Donder-Weyl Hamilton function theories, we reformulate…