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Gravitational Few-Body Dynamics最新文献

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Artificial Satellite Orbits 人造卫星轨道
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.012
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引用次数: 0
Index 指数
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.013
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引用次数: 0
Motion in the Field of a Black Hole 黑洞场中的运动
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.011
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引用次数: 0
Numerical Integration 数值积分
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.007
Morita
{"title":"Numerical Integration","authors":"Morita","doi":"10.1017/9781108868105.007","DOIUrl":"https://doi.org/10.1017/9781108868105.007","url":null,"abstract":"1. Numerical integration: basic rules 1 1.1. General formulas for the error on numerical quadrature 1 1.2. Particular cases 3 2. A birds’-eye view on interpolatory quadrature rules 5 3. Composite rules 6 3.1. Composite trapezoidal rule 6 4. The Romberg integration 9 4.1. Composite Simpson’s rule 9 4.2. Obtaining composite Simpson’s rule by Richardson extrapolation 10 5. Adaptive Simpson’s rule 11 6. Gaussian quadrature 14 6.1. Maximizing the degree of exactness 15 6.2. Orthogonal polynomials 16 6.3. Three Term Recurrence Relationships 18 6.4. The exactness of Gaussian quadrature 20 6.5. Error estimate 22 6.6. Example: Gauss-Chebyshev quadrature 22 6.7. A naive way for finding nodes and weights 23 6.8. Golub-Welsch algorithm for finding nodes and weights 24","PeriodicalId":344993,"journal":{"name":"Gravitational Few-Body Dynamics","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115877735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Problems 问题
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.003
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引用次数: 0
Two-Body Motion 双体运动
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.2514/5.9781600862434.0005.0037
Charles D. Brown
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引用次数: 0
Analytical Tools 分析工具
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.005
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引用次数: 0
Algorithmic Regularization 算法的正则化
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.010
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引用次数: 0
KS-Regularization KS-Regularization
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.009
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引用次数: 0
Symplectic Integration 辛集成
Gravitational Few-Body Dynamics Pub Date : 2020-04-16 DOI: 10.1017/9781108868105.008
Yichao Jing
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引用次数: 0
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