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求解二维Poisson方程的重心插值配点法 被引量:5

Collocation Method with Barycentric Lagrange Interpolation for Poisson Equations
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摘要 采用重心Lagrange插值配点法计算了二维Poisson方程.采用重心Lagrange插值法构造近似函数,由配点法离散Poisson方程及其边界条件.数值算例表明方法具有理论简单、计算精度高的特点. In this paper,the two-dimension Poisson equation was solved by collocation method with barycentric Lagrange interpolation.The approximation was constructed by barycentric Lagrange interpolation and the Piosson equations is discretized through the collocation formulation.Some numerical examples are used to show that the present method has the characteristics of simple theory and high accuracy.
作者 梁军
出处 《数学的实践与认识》 北大核心 2016年第17期229-235,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11461053)
关键词 POISSON方程 重心Lagrange插值 配点法 poisson equations barycentric lagrange interpolation collocation method
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参考文献4

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