导读:本文包含了数值迭代解法论文开题报告文献综述及选题提纲参考文献，主要关键词:非稳腔,模式,FOX-LI数值迭代解法,损耗
数值迭代解法论文文献综述
徐银新,过振,王石语,李兵斌[1]（2010）在《非稳腔的FOX-LI数值迭代解法》一文中研究指出利用FOX-LI数值迭代解法,对非稳腔的模式进行数值求解。用Matlab软件程序模拟出腔内光场的振荡情况,给出腔内光场振幅和相位分布,计算出每次迭代能量的损耗。结果表明,非稳腔内的振荡光其光场分布仅与腔的结构有关而与初始光场的分布情况无关,并且随着模式增大,能量损耗也增大。(本文来源于《电子科技》期刊2010年11期）
Abdul,Wasim,Shaikh[2]（2006）在《微分方程的一些数值迭代解法》一文中研究指出This thesis consists of three chapters. In chapter one, we give survey of the numerical methods for solving the diffusion equation subject to the specification of mass, numerical methods combining the numerical solutions of the equivalent integral equations with the backward implicit finite difference method, a numerical schemes for obtaining Pade approximant solutions to the initial boundary value problem for one-dimensional diffusion equation with non-local boundary condition, and efficient parallel technique for one-dimensional time-dependent diffusion equation with two non-local constraints. We include the research background and a brief introduction of diffusion equation. In the section 1.4 of this chapter, here we propose a penalty method for solving the diffusion equation subject to the specification of mass and obtain some error estimates. We also present some numerical results.In chapter two, we proposed a finite difference method and an iterative method for the L-Shape domain based on the domain decomposition method. We use the coarse mesh on the interface and fine mesh in the two domains. We derive the error estimates and have proved our iterative algorithm has a better convergence rate than the standard method.In chapter three, we introduced the iterative penalty method for the Stokes equations. We construct the iterative penalty algorithm to allow the use of not very small penalty parameter. We prove the error estimation and presented some numerical results to support our analysis.(本文来源于《浙江大学》期刊2006-10-09）
数值迭代解法论文开题报告
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This thesis consists of three chapters. In chapter one, we give survey of the numerical methods for solving the diffusion equation subject to the specification of mass, numerical methods combining the numerical solutions of the equivalent integral equations with the backward implicit finite difference method, a numerical schemes for obtaining Pade approximant solutions to the initial boundary value problem for one-dimensional diffusion equation with non-local boundary condition, and efficient parallel technique for one-dimensional time-dependent diffusion equation with two non-local constraints. We include the research background and a brief introduction of diffusion equation. In the section 1.4 of this chapter, here we propose a penalty method for solving the diffusion equation subject to the specification of mass and obtain some error estimates. We also present some numerical results.In chapter two, we proposed a finite difference method and an iterative method for the L-Shape domain based on the domain decomposition method. We use the coarse mesh on the interface and fine mesh in the two domains. We derive the error estimates and have proved our iterative algorithm has a better convergence rate than the standard method.In chapter three, we introduced the iterative penalty method for the Stokes equations. We construct the iterative penalty algorithm to allow the use of not very small penalty parameter. We prove the error estimation and presented some numerical results to support our analysis.
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数值迭代解法论文参考文献
[1].徐银新,过振,王石语,李兵斌.非稳腔的FOX-LI数值迭代解法[J].电子科技.2010
[2].Abdul,Wasim,Shaikh.微分方程的一些数值迭代解法[D].浙江大学.2006
标签：非稳腔; 模式; FOX-LI数值迭代解法; 损耗;