Volume-preserving schemes and numerical experiments

DOI10.1016/0898-1221(93)90032-QzbMath0781.65069OpenAlexW2061831866WikidataQ127155991 ScholiaQ127155991MaRDI QIDQ1309752

Wenjie Zhu, Meng-Zhao Qin

Publication date: 6 January 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90032-q

zbMATH Keywords

numerical experimentsdynamical systemRunge-Kutta methodEuler methodEuler midpoint rulevolume-preserving schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

Volume preservation by Runge-Kutta methods ⋮ Structure-preserving algorithms for a class of dynamical systems ⋮ Explicit volume-preserving splitting methods for polynomial divergence-free vector fields ⋮ Partitioned Runge-Kutta methods as phase volume preserving integrators ⋮ Geometric integration methods that unconditionally contract volume ⋮ Volume-preserving maps with an invariant ⋮ Nilpotent normal form for divergence-free vector fields and volume-preserving maps ⋮ Volume preserving RK methods for linear systems

Cites Work

• Construction of higher order symplectic schemes by composition
• Passive scalars, three-dimensional volume-preserving maps, and chaos
• Chaotic streamlines in the ABC flows
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