Variable step size destabilizes the Störmer/leapfrog/Verlet method
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Publication:2366660
DOI10.1007/BF01990352zbMath0779.65053MaRDI QIDQ2366660
Publication date: 9 January 1994
Published in: BIT (Search for Journal in Brave)
Verlet methodinstabilitiestest equationleapfrog methodvariable step sizessecond order Störmer method
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
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