| 基于重心型插值的数值计算方法 |
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| 引用本文： | 李淑萍. 基于重心型插值的数值计算方法[J]. 山东科学, 2010, 23(4): 13-16. DOI: 10.3976/j.issn.1002-4026.2020.04.003 |
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| 作者姓名： | 李淑萍 |
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| 作者单位： | 山东警察学院治安系 |
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| 基金项目： | 山东省重大科技创新工程(2019JZZY020906) |
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| 摘 要： | 对以重心型插值作为近似函数,数值求解微分方程初值问题和边值问题的数值计算方法作了介绍。给出了重心Lagrange插值和重心有理插值的计算公式和插值节点类型。归纳了求解微分方程初边值问题的重心插值配点法、重心插值Galerkin法和重心插值单元法的计算公式、边界条件/初始条件的离散和施加方法。
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| 关 键 词： | 重心Lagrange插值 重心有理插值 配点法 Galerkin法 微分矩阵 初边值问题 |
| 收稿时间： | 2010-02-01 |
A Survey of Numerical Method Based on Barycentric Interpolation |
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| LI Shu-ping. A Survey of Numerical Method Based on Barycentric Interpolation[J]. Shandong Science, 2010, 23(4): 13-16. DOI: 10.3976/j.issn.1002-4026.2020.04.003 |
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| Authors: | LI Shu-ping |
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| Affiliation: | Department of Security, Shandong Police College |
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| Abstract: | This paper introduces a barycentric-type interpolation based numerical approach for solving initial or boundary value problem of a differential equation.We present the formulae and types of interpolated nodes of barycentric-type interpolation.We also induce barycentric interpolation collocation method and barycentric interpolation Galerkin method for solving initial or boundary value problem of a differential equation,the formula of barycentric interpolation element method and discrete and applied approache... |
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| Keywords: | barycentric Langrange interpolation barycentric rational interpolation collocation method Galerkin method differential matrix initial-boundary value problem |
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