An Optimal NSPRK Method with Improved CPML Boundary Condition for Solving Seismic Wave Equations

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:dsb5519
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
  The nearly-analytic symplectic partitioned Runge-Kutta(NSPRK)method is a type of finite difference method for solving seismic wave equations.It uses the fourth-or higher-order nearly-analytic discrete(NAD)operators to discretize the high-order spatial derivatives in the Hamiltonian PDEs,and then employs the conventional symplectic partitioned Runge-Kutta(SPRK)method to solve the resulted Hamiltonian ODEs after spatial discretization.
其他文献
  We establish a linking theory for dynamical systems,thus providing an alternative approach for finding invariant sets without using Conley index.It can be a
会议
  In this talks,the well-posedness and dynamics of the Cauchy problem for the stochastic generalized Benjamin-Ono equation are presented,both Gaussian noise a
会议
  Stochastic partial differential equations(SPDEs)are appropriate mathematical models for many multiscale systems with uncertain and fluctuating influences.
会议
  In this talk,we introduce the recent progress on the shock formation for compressible Euler equations.The talk includes several joint works with Ronghua Pan
会议
  Recent numerical solutions and physical experiments have shown the existence of a complex reflection pattern which provides a resolution of the triple point
会议
  High order methods for solution of hyperbolic equations have a CFL number that decreases with the order of approximation,e.g.quadratically with the disconti
会议
  Given a set of sensors with limited energy and a set of targets to be monitored,the goal of the maximum lifetime κ-cover problem is to find an active/sleep
会议
  We study long-time dynamics in a model of the Kompaneets equation.The Kompaneets equation describes evolution of photon energy spectrum due to Compton scatt
会议
  Hyperbolic conservation laws form the basis for the mathematical modeling of many physical systems,and describe a wide range of wave propagation and fluid f
会议
  Conformal slit maps have several applications to problems in physics,engineering,and mathematics.In this talk,we review the author's method for approximatin
会议