70 citations · 653 across the 56 of their papers we have counts for
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Variations in Discrete Mechanics and Field Theory
Han-Ying Guo, Ke Wu
Some problems on variations are raised for classical discrete mechanics and field theory and the difference variational approach with variable step-length is proposed motivated by…
Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators
Jing-Bo Chen, Han-Ying Guo, Ke Wu
We present a discrete total variation calculus in Hamiltonian formalism in this paper. Using this discrete variation calculus and generating functions for the flows of Hamiltonian…
Total Variation and Variational Symplectic-Energy-Momentum integrators
Jing-Bo Chen, Han-Ying Guo, Ke Wu
A discrete total variation calculus with variable time steps is presented in this letter. Using this discrete variation calculus, we generalize Lee's discrete mechanics and derive…
AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator
Z. Chang, C. B. Guan, H. Y. Guo
AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is dedu…
On Symplectic, Multisymplectic Structures-Preserving in Simple Finite Element Method
Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li +1
By the simple finite element method, we study the symplectic, multisymplectic structures and relevant preserving properties in some semi-linear elliptic boundary value problem in o…
A Note on Symplectic, Multisymplectic Scheme in Finite Element Method
Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li +1
We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymp…