Optimal Error Estimate of A Symplectic and Energy Conserving Finite Difference Scheme for the Nonlin

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:JK0803tanchanghua
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  Up to now,the mathematicians think that the symplectic finite difference schemes for solving nonlinear partial differential equations could not preserve the total energy in the discrete sense.
其他文献
When a supersonic flow passes a given body,there will appear a shock ahead of the body generally.To clearly understand the wave structure,as well as the flow field between the shock and the surface of
会议
A well-know spurious numerical phenomenon in simulating the hyperbolic conservation laws with stiff source term may occur due to the underresolved numerical solution.
会议
Numerical instability is a major issue in the solution of fluid-structure interaction problems,particularly when partitioned procedures are used.
会议
An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of horizontal magnetic field saturated in a porous medium is consid
会议
We propose the eigenvalue problem of an anisotropic diffusion operator for image segmentation.The diffusion matrix is defined based on the input image.
会议
A parareal in time algorithm is proposed to solve the optimal control problems of evolution equations.This method is to solve the first order optimality system by a time domain decomposition technique
会议
This talk is on implementing the Multivariate Decomposition Method(MDM)for approximating integrals over the infinite-dimensional unit cube,see "The multivariate decomposition method for infinite-dimen
会议
The discontinuous Galerkin(DG)method is known to provide high resolution properties,especially when applying after long time run.In this talk,we consider analyzing the error behavior of the DG method
会议
An efficient and reliable a-posteriori error estimator is developed for a characteristic-Galerkin FEM for time-dependent convection-dominated problems.
会议
In this talk,we present an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose-Einstein condensates which is described by coupled Gross-Pitaevskii equatio
会议