检索结果-南通市图书馆

A non-OSCILLATORY KINETIC SCHEME FOR MULTI-COMPONENT FLOWS WITH THE EQUATION OF STATE FOR A STIFFENED GAS

在线全文

学校读者我要写书评

暂无评论

Journal of Computational Mathematics 2011年第6期29卷 661-683页

作者： Yibing Chen Song Jiang Institute of Applied Physics and Computational Mathematics P.O. Box 8009 Beijing 100088 China

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 traditional kinetic scheme across contact discontinuities, we propose a new non-oscillatory kinetic （NOK） scheme for multi-component stiffened gases. The basic idea in the construction is to use a flux splitting technique to construct numerical fluxes which do not depend on the concrete form of the equilibrium state. The new scheme can not only can avoid spurious oscillations of the pressure and velocity near a material interface which are observed in the traditional kinetic schemes such as the kinetic flux vector splitting （KFVS） and BGK schemes, but also can deal with the stiffened gas equation of state. Moreover, we also carry out a careful analysis on the consistency condition, truncation error and positivity of the NOK scheme. A number of 1D and 2D numerical tests are presented which demonstrate the accuracy and robustness of the new scheme in the simulation of problems with smooth, weak and strong shock wave regions.

关键词： Kinetic scheme non-oscillation Multi-component Stiffened gases.

Existence of nonoscillatory Solutions of a Class of nonlinear Dynamic Equations with a Forced Term

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Open Journal of Discrete Mathematics 2012年第4期2卷 173-178页

作者： Shanliang Zhu Xinli Zhang College of Mathematics and Physics Qingdao University of Science and Technology Qingdao China

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 nonoscillatory solutions for general and which means that we allow oscillatory and . We give some examples to illustrate the obtained results.

关键词： Dynamic Equation Higher Order non-oscillation Time Scale Neutral

COMPARISON THEOREMS AND oscillation CRITERIA FOR DIFFERENCE EQUATIONS WITH SEVERAL DELAYS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Annals of Differential Equations 2003年第4期19卷 584-594页

作者：曾晓云时宝张德存 Dept.of Basic Sciences Naval Aeronautical Engineering InstituteYantai 264001

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 sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some 'sharp' conditions for oscillation and non-oscillation of the first equation.

关键词： oscillation non-oscillation difference equations equivalence

nonoscillation FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATION

在线全文

学校读者我要写书评

暂无评论

Annals of Differential Equations 2007年第2期23卷 159-164页

作者： Li Tianshun Pang Yongqin No.2 Middle School Zhanjiang 524006 Guangdong Dept. of Math. South of China Normal University Guangzhou 510681

We prove nonoscillation results for a class of second order equation. The results generalize ones of Huang.

关键词： non-oscillation second order equation δ-function

An Unconditionally Monotone <i>C</i><sup>2</sup>Quartic Spline Method with nonoscillation Derivatives

在线全文

学校读者我要写书评

暂无评论

Advances in Pure Mathematics 2018年第1期8卷 25-40页

作者： Jin Yao Karl E. Nelson Lawrence Livermore National Laboratory Livermore CA USA

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 and unconditionally monotone. A set of control points is employed to constrain the curvature of the interpolation function and to eliminate possible nonphysical oscillations in the slope space. An extension of this method in two-dimensions is also discussed.

关键词： Monotone Interpolation Quartic non-oscillation Derivative Interface Reconstruction Slope Space Hermit Spline

nonoscillation AT A FINITE POINT FOR LINEAR HAMILTONIAN SYSTEM

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Annals of Differential Equations 2005年第3期21卷 525-528页

作者： Zheng Zhaowen Dept. of Math. Science Qufu Normal University Qufu 273165 Dept. of Math. and Computational Science Zhongshan University Guangzhou 510275

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.

关键词： Hamiltonian system oscillation non-oscillation