Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron

DOI10.1007/978-3-319-20239-6_19zbMath1359.65300OpenAlexW2158005625MaRDI QIDQ2942205

Jürgen Geiser, Ralf Schneider, Karl Felix Lüskow

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_19

zbMATH Keywords

symplectic splittingCrank-Nicolson methodsiterative Euler methodLevitron problemlong time computationssemi-implicit integrators

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

• Conjugate symplecticity of second-order linear multi-step methods
• Poisson integrator for symmetric rigid bodies
• Nonlinear extension of multiproduct expansion schemes and applications to rigid bodies
• The accuracy of symplectic integrators
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Levitron: multi-scale analysis of stability
• Geometric Numerical Integration
• A note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

This page was built for publication: Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron