Variable step size destabilizes the Störmer/leapfrog/Verlet method

DOI10.1007/BF01990352zbMath0779.65053MaRDI QIDQ2366660

Robert D. Skeel

Publication date: 9 January 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Verlet methodinstabilitiestest equationleapfrog methodvariable step sizessecond order Störmer method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Explicit adaptive symplectic integrators for solving Hamiltonian systems ⋮ A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems ⋮ Convergence of a time discretisation for doubly nonlinear evolution equations of second order ⋮ Letter to the editor: Comments on ``Numerical instability due to varying time steps in explicit wave propagation and mechanics calculations by Joseph P. Wright ⋮ An Iterative Variable-timestep Algorithm for Molecular Dynamics Simulations

Cites Work

• Variable step size does not harm second-order integrators for Hamiltonian systems
• Symplectic integrators for long-term integrations in celestial mechanics
• The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variable step size destabilizes the Störmer/leapfrog/Verlet method