On the extension of Adams-Bashforth-Moulton methods for numerical integration of delay differential equations and application to the Moon's orbit

DOI10.1007/S11786-019-00447-YOpenAlexW3101860807WikidataQ126359178 ScholiaQ126359178MaRDI QIDQ2183740

Yanyan Li

Publication date: 27 May 2020

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02098

zbMATH Keywords

numerical integrationdelay differential equationsmultistep methodscelestial mechanics

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Applications to the sciences (65Z05) Celestial mechanics (70F15) Numerical integration (65D30) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Numerical methods for functional equations (65Q20) Software, source code, etc. for problems pertaining to difference and functional equations (39-04)

Related Items (1)

Reducing roundoff errors in numerical integration of planetary ephemeris

Uses Software

• XPPAUT
• dde23

Cites Work

• Determining parameters of moon's orbital and rotational motion from LLR observations using GRAIL and IERS-recommended models
• Secular tidal changes in lunar orbit and Earth rotation
• Introduction to functional differential equations
• Solving Ordinary Differential Equations I
• Relativistic tests with lunar laser ranging
• Barycentric Lagrange Interpolation
• Solving DDEs in Matlab

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