New collocation integrator for solving dynamic problems. I: Theoretical background

DOI10.1007/S11182-021-02260-2zbMath1458.65098OpenAlexW3138575434MaRDI QIDQ2019390

Victor A. Avdyushev

Publication date: 21 April 2021

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-021-02260-2

zbMATH Keywords

dynamical systemsordinary differential equationscollocation methodsnumerical integrators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

Numerical modeling of motion of near-Earth objects in a parallel computing environment ⋮ Transition methods for stochastic simulation of parametric uncertainty in inverse problems of orbital dynamics

Cites Work

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• Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
• Theory of Kepler motion: The general perturbed two body problem
• Stabilization of constraints and integrals of motion in dynamical systems
• Implicit single-sequence methods for integrating orbits
• Geometric Numerical Integration
• Perturbation theory of Kepler motion based on spinor regularization.
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
• Implicit Runge-Kutta Processes

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