A one-dimensional monotone interpolation method based on interface reconstruction with partial volumes in the slope-space utilizing the Hermite cubic-spline, is proposed. The new method is only quartic, however is C2 ...
In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillator...
In this paper, three versions of WENO schemes WENO-JS, WENO-M and WENO-Z are used for one-dimensional detonation wave simulations with fifth order characteristic based spatial flux reconstruction. Numerical schemes fo...
We extend the traditional kinetic scheme for ideal gases to the Euler equations with the equation of state for a multi-component stiffened gas. Based on a careful analysis of the oscillation mechanism of the tradition...
This work is supported by the Distinguished Expert Science Foundation of Naval Aeronautical Engineering Institute.
Some oscillation and non-oscillation criteria for second-order quasi-linear difference equations are given. The results in Zhang and Zhou [4] are improved.
This research was partially supported by the NSF of China (Grant 10471077)China Postdoctoral Science foundation (Grant 20040350596).
Using the associated quadratic functional of the Hamiltonian system, we obtain the non-oscillation of all the prepared solutions for the Hamiltonian system at a finite point.
Research supported Dy Distinguished Expert Science Foundation of Naval Aeronautical Engineering Institute
In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a s...
This work is supported by the Ntional Natural Science Foundation of China.
This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upst...