Volume preservation by Runge-Kutta methods

DOI10.1016/j.apnum.2016.06.010zbMath1416.65509arXiv1507.00535OpenAlexW1644584072MaRDI QIDQ311673

Philipp Bader, David I. McLaren, Marcus Webb, Gilles Reinout Willem Quispel

Publication date: 13 September 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00535

zbMATH Keywords

Runge-Kutta methodKahan's methodmeasure preservationvolume preservation

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (2)

High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system ⋮ Volume-preserving exponential integrators and their applications

Cites Work

• Unnamed Item
• B-series methods cannot be volume-preserving
• Volume-preserving schemes and numerical experiments
• Volume-preserving algorithms for source-free dynamical systems
• What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
• Integrability properties of Kahanʼs method
• Preserving first integrals and volume forms of additively split systems
• Chaotic streamlines in the ABC flows
• Geometric integration using discrete gradients
• Geometric Numerical Integration
• Volume-preserving integrators

This page was built for publication: Volume preservation by Runge-Kutta methods