Error Analysis for Mapped Jacobi Spectral Methods
Error Analysis for Mapped Jacobi Spectral Methods
复制标题
DOI：
10.1007/s10915-004-4613-y
复制
发表时间：
2005-08
影响因子：
2.5
通讯作者：
Lilian Wang;Jie Shen
中科院分区：
文献类型：
--
作者：
Lilian Wang;Jie Shen
建立了映射Jacobi多项式的逼近性质和基于映射Jacobi - gaas - lobatto点的插值性质。这些结果对映射雅可比谱方法的数值分析具有重要意义。作为应用实例，给出了几种常用正则映射和奇异映射的最优误差估计。
Approximation properties of mapped Jacobi polynomials and of interpolations based on mapped Jacobi–Gauss–Lobatto points are established. These results play an important role in numerical analysis of mapped Jacobi spectral methods. As examples of applications, optimal error estimates for several popular regular and singular mappings are derived.