which indicates the positive definiteness of the operators.To obtain numerical boundary conditions for the high order schemes,the simplified inverse Lax-Wendroff(SILW)procedure is adopted and the stability analysis is performed by the Godunov-Ryabenkii method and the eigenvalu...
stability analysis must be performed to assess its stability. Second order is fine but higher order is more complicated to analyze. It is not stable if the physical boundary is too close to a grid point. Division of Applied Mathematics, Brown University INVERSE LAX-WENDROFF PROCEDURE FOR NUMER...
文档名称:双曲守恒律方程的LaxWendroff时间离散WENO格式.doc 文档格式:Word(*.doc,可编辑) 文档字数:6575字,(不统计页头页脚及版权声明等文字) 文档适用: 作为论文格式科目,编写学士学位论文、本科毕业论文或 发表期刊、评初级职称的参考文献;可作写作参考,解决 ...
Numerical stability of the model is significantly improved using Lax-Wendroff advection to provide and adjustable time step. Good agreement with a conventional... GR Mcnamara,AL Garcia,BJ Alder - 《Journal of Statistical Physics》 被引量: 375发表: 1995年 Propagation of Long Waves onto Shelf Kato...
针对双曲守恒律方程给出了具体的格式构造过程,主要采用如下介绍的两种时间离散方法LaxWendroff时间离散和TVD RungeKutta时间离散。下面,我们将介绍这两种常用的时间离散方法。 2时间离散格式 目前双曲守恒律方程最为常见的时间离散格式为TVD RungeKutta时间离散格式,也称为SSP(strong stability preserving)RungeKutta时间离散...
Comparison between the fourth-order Lax-Wendroff method and a fourth-order Nystrm method shows that the Nystrm method has smaller stability limit but has a better dispersion relation, which is closer to the sixth-order Lax-Wendroff method. The structure-preserving property of these methods is also...
For each problem in this section, the corresponding CFL numbers are chosen based on Fourier stability analysis which are given in Table 2. We compare Lax-Wendroff scheme with D2 dissipation model and Runge-Kutta schemes in this section, and the CFL numbers of the former are used for both ...
(t,x,c); error = ynew - yexact; norm1 = norm(error,1)/J % Compute error norms norm2 = norm(error,2)/sqrt(J) norminf = norm(error,inf) figure(1), clf, hold on xx = 0:0.005:1; plot (xx,exact_solution(t,xx,c),'-'); plot (x,ynew,'o'); s1 = ['Lax-Wendroff'...
Inverse Lax-Wendroff (ILW) methodHigh-order accuracyStability analysisIn this paper, we propose a new class of discontinuous Galerkin (DG) methods for solving 1D conservation laws on unfitted meshes. The standard DG method is used in the interior cells. For the small cut elements around the ...
A stability formula for Lax-Wendroff methods with fourth-order… 热度: The Lax-Milgram Theorem:Lax-Milgram定理 热度: LAX - K2 Designer for SharePoint - Fundamentals 热度: 相关推荐 2196 ACTAMATHEMATICASCIENTIA Vol13lSer.B 1 Introduction Inhisseminal1954paper[1].inadditiontodevelopingvery...