【摘 要】
：
We propose Lax-Friedrichs fast sweeping multigrid methods which allow efficient calculations of viscosity solutions of stationary hyperbolic problems.Due to the choice of Lax-Friedrichs numerical flux
【机 构】
：
Univ.of California,Irvine Clarmeont McKenna Colle
论文部分内容阅读
We propose Lax-Friedrichs fast sweeping multigrid methods which allow efficient calculations of viscosity solutions of stationary hyperbolic problems.Due to the choice of Lax-Friedrichs numerical fluxes,general problems can be solved without difficult inversion.High order discretization can be incorporated to achieve high order accuracy.In addition,we use multigrid methods coupled with biased WENO interpolation to speed up the computation by smoothing errors of low frequencies on coarse meshes.
其他文献
The gene regulatory network driving A.thaliana flower morphogenesis(GRN)constitutes a model-of-choice for the study of morphogenesis.Described in Boolean terms,this network has 10 attractors,four of t
The stochastic control theory is a field that probability and partial differential equation are intimately intertwined.With the rapid development of the mathematical finance in the last two decades,th
This paper is concerned with an stochastic integrable equation governing short-waves in a long-wave model.Firstly,the local well-posedness for this system is established by fixed point argument and(bi
The FEM is a important method for solving PDEs.There are some difficulties involved in obtaining conforming displacement models for the thin plate bending problem.In this paper,we reconstruct two conf
Based on some recent theoretical understanding of the identification problem of single photon emission computerized tomography(SPECT),we propose an adjoint state method to solve the identification pro
This mini-symposium is organized to provide a forum for fellow researchers working on numerical methods for wave propagation problems to present and discuss their recent advances and achievements.Topi
In this talk,making use of interesting connections between stochastic differential equations and information theory,we derive the capacity regions of several classes of continuous-time Gaussian channe
We exploit the long-run behavior for 3-dimensional competitive Lotka-Volterra systems with the equal growth rate perturbed by the same multiplicative noise.Firstly,it is proved that the solutions of c
We present an efficient code for solving large sparse linear systems using the multifrontal method with hierarchically semi-separable(HSS)matrices.The low rank compression in HSS limits fill-in and re
Global singular behavior of solutions to ODEs in the complex plane is an important and challenging topic in both theory and applications.We introduce a new constructive method of studying global behav