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精密星历插值中龙格现象处理策略
引用本文:赵峰,欧阳永忠,晏新村,郭忠磊.精密星历插值中龙格现象处理策略[J].海洋测绘,2013,33(4):62-65.
作者姓名:赵峰  欧阳永忠  晏新村  郭忠磊
作者单位:1. 海军出版社,天津,300450
2. 海军海洋测绘研究所,天津,300061
3. 海军海洋测绘研究所,天津300061;92488部队,广东湛江524064
4. 海军海洋测绘研究所,天津300061;海军大连舰艇学院海洋测绘系,辽宁大连116018
基金项目:国家863计划项目,国家自然科学基金项目,国家重大海洋勘测专项项目
摘    要:针对由于高阶插值引起的龙格现象在精密星历插值两端表现得特别明显,提出了利用阶次组合、增加星历和先外推后插值3种方法减弱和消除龙格现象的影响,通过实例验证了3种方法的有效性和可行性,并对比分析了3种方法的优缺点,得到了一些有意义的结论。

关 键 词:精密星历  插值  龙格现象  阶次组合

Disposal Strategy of Runge's Phenomenon in Interpolating Precise Ephemeris
ZHAO Feng,OUYANG Yongzhong,YAN Xincun,GUO Zhonglei.Disposal Strategy of Runge's Phenomenon in Interpolating Precise Ephemeris[J].Hydrographic Surveying and Charting,2013,33(4):62-65.
Authors:ZHAO Feng  OUYANG Yongzhong  YAN Xincun  GUO Zhonglei
Institution:1. Navy Press, Tianjin 300450, China; 2. Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China; 3. 92488 Troops, Zhanjiang 524064, China; 4. Department of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018, China)
Abstract:In view of the Runge' s phenomenon caused by the high order interpolation in the precise ephemeris interpolation is especially evident at both ends, three motheds of the order portfolio, the increase of ephemeris and the extrapolation before interpolation are used to weaken and eliminate the impact of the Runge' s phenomenon. The effectiveness and feasibility are verified through an example, and the advantages and disadvantages of the three methods are comparatively analysed to obtain some useful conclusions.
Keywords:precise ephemeris  interpolation  Runge's phenomenon  order portfolio
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