Majorant series for theN-body problem

DOI10.1080/00207160.2021.1962848zbMath1479.34028arXiv2103.12839OpenAlexW3187360070MaRDI QIDQ5033362

Mikel Antoñana, Philippe Chartier, Ander Murua

Publication date: 22 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12839

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) (n)-body problems (70F10)

Uses Software

• Julia
• GitHub
• DifferentialEquations.jl
• NeuralPDE.jl

Cites Work

• The global solution of the n-body problem
• Variable step implementation of geometric integrators
• Variable time step integration with symplectic methods
• Practical symplectic methods with time transformation for the few-body problem
• Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes
• Julia: A Fresh Approach to Numerical Computing
• The Adaptive Verlet Method
• Explicit, Time Reversible, Adaptive Step Size Control
• Geometric Numerical Integration
• Global Time-Renormalization of the Gravitational $N$-body Problem
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