In this note, we will give a proof for the uniqueness of 4th-order time-reversible sym-plectic difference schemes of 13th-fold compositions of phase flows φtH(
An explicit upwind finite element method is given for the numerical computation to multi-dimensional scalar conservation laws. It is proved that this scheme is
In this work, a singularly perturbed two-point boundary value problem of convectiondiffusion type is considered. An hp version finite element method on a strong
The first part of this paper is conceed with the well-posedness for the rigid rod-like model in shear flow of a polymeric fluid. The constitutive relations cons
Composite Legendre-Laguerre approximation in unbounded domains is developed. Someapproximation results are obtained. As an example, a composite spectral scheme
Symplectic integration of separable Hamiltonian ordinary and partial differential equations is discussed. Avon Neumann analysis is performed to achieve general