SPECTRAL AND SPECTRAL ELEMENT METHODS FOR HIGH ORDER PROBLEMS WITH MIXED BOUNDARY CONDITIONS

作     者：Benyu Guo Chao Zhang 

作者机构：Department of Mathematics Shanghai Normal University Shanghai 200234 China Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities Shanghai 200234 China Department of Mathematics Jiangsu Normal University Xuzhou 221116 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2014年第32卷第4期

页      面：392-411页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070302[理学-分析化学] 0703[理学-化学] 0701[理学-数学] 

基　　金：国家自然科学基金 Fund for Doctor Degree Authority of Chinese Educational Ministry Fund for E-Institute of Shanghai Universities Leading Academic Discipline Project of Shanghai Municipal Education Commission The work of the second author was supported by NSF of China Fund for Young Teachers of Shanghai Universities The work of the third author was supported by NSF of China Research Fund for Young Teachers of Jiangsu Normal University 江苏高校优势学科建设工程 

主　　题：Spectral and spectral element methods~ High order problems with mixedinhomogeneous boundary conditions. 

摘      要：In this paper, we investigate numerical methods for high order differential equations. We propose new spectral and spectral element methods for high order problems with mixed inhomogeneous boundary conditions, and prove their spectral accuracy by using the recent results on the Jacobi quasi-orthogonal approximation. Numerical results demonstrate the high accuracy of suggested algorithm, which also works well even for oscillating solutions.