【摘 要】
:
Hamilton-Jacobiequation appears frequently in applications, e.g., in differential games and control theory, and is closely related to hyperbolic conservation la
【机 构】
:
State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics
论文部分内容阅读
Hamilton-Jacobiequation appears frequently in applications, e.g., in differential games and control theory, and is closely related to hyperbolic conservation laws[3, 4, 12]. This is helpful in the design of difference approximations for Hamilton-Jacobi equation and hyperbolic conservation laws. In this paper we present the relaxing system for HamiltonJacobiequations in arbitrary space dimensions, and high resolution relaxing schemes for Hamilton-Jacobi equation, based on using the local relaxation approximation. The schemes are numerically tested on a variety of 1D and 2D problems, including a problem related to optimal control problem. High-order accuracy in smooth regions, good resolution of discontinuities, and convergence to viscosity solutions are observed.
其他文献
A composition method for constructing high order multisymplectic integrators is pre-sented in this paper. The basic idea is to apply composition method to both
This paper presents a new inexact trust region algorithm for solving constrained nonsmooth optimization problems. Under certain conditions, we prove that the al
情感贯穿于写作的始终,是作文的血脉所在.学生只有有了一定情感体验,才能细致地表达自己的思想感情,写出情文并茂的文章来.因此,在作文教学中,教师要充分抓住作文命题、作文
Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithmfor solving singular system of nonlinear equations F(x) = 0, where F(x): Rn -
本文从语文教育与人格教育的关系出发,从培养学生主体意识、批判质疑精神和创新意识、现代交往理性和交际人格三个方面阐述了口语交际教学对学生人格养成的重要性.
In this paper, the solution of back-Euler implicit difference scheme for a semi-linearparabolic equation is proved to converge to the solution of difference sch
位置检测技术尽管千变万化,但似乎是与其应用领域契合得最好的技术,一项近期的调查表明,有95%的被调查者表示,在未来的一年中他们将使用相同或更多数量的此类传感器,其中限位
游离小孢子培养技术,由于其潜在的应用前景受到越来越多学者的广泛关注。在茄科作物中,烟草的小孢子培养系统已发展的比较完善,但其他茄科蔬菜作物(茄子、番茄、辣椒)的小孢
英语新课标提出“学生的发展是英语课程的出发点和归宿点,英语课程在目标设定、教学过程、课程评价和教学资源的开发等方面都突出以学生为主体的思想”.这就要求教师要以激发
In this paper, we extend the numerical embedding method for solving the smooth equations to the nonlinear complementarity problem. By using the nonsmooth theory