Error Analysis and Accuracy Improvement for the Method of Lines

洪伟; 韩良

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Error Analysis and Accuracy Improvement for the Method of Lines

更新时间：2025-12-08

- Error Analysis and Accuracy Improvement for the Method of Lines
- Acta Electronica Sinica Issue 3, (1994)
- 作者机构：
  
  东南大学
- 作者简介：
- 基金信息：
- DOI：
  CLC： O441.4
- Published：1994
- 稿件说明：
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[1]洪伟,韩良.直线法的误差分析及精度改进[J].电子学报,1994(03):43-50.

洪伟, 韩良. Error Analysis and Accuracy Improvement for the Method of Lines[J]. Acta Electronica Sinica, 1994, (3).
[1]洪伟,韩良.直线法的误差分析及精度改进[J].电子学报,1994(03):43-50. DOI：

洪伟, 韩良. Error Analysis and Accuracy Improvement for the Method of Lines[J]. Acta Electronica Sinica, 1994, (3). DOI：

摘要

１９８０年Ｕ．Ｓｃｈｕｌｚ和Ｒ．Ｐｒｅｇｌａ等首次将直线法用于分析电磁场边值问题［１］．近年来这种技术先后被用于分析微带类、Ｆｉｎｌｉｍｅ类微波平面导波结构和复杂截面波导的传输问题［２～４］，微波平面结构的谐振和不连续性问题［５～７］，极化栅和频率选择表面的电磁散射问题［８～９］以及进气道ＲＣＳ的计算［１０］等．但是关于这种方法的误差分析、线数选取原则和精度改进等还未看到较系统的论述．本文对直线法的误差进行了分类论述，讨论出了直线法的线数选取原则．最后阐述了提高直线法精度的几种途径。

Abstract

The error analysis and accuracy improvement of the method of lines are carried out in this paper.Various kinds of error and their effects on the solution of the method of lines are discussed.Based on the error analysis

the relations between the number of lines and the accuracy of propagation constants or eigenvalues are deduced. Finally

several techniques for improving the accuracy of the method of lines are presented.

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