The rate of error growth in Hamiltonian-conserving integrators
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Publication:1894289
DOI10.1007/BF01003559zbMath0826.65071MaRDI QIDQ1894289
Andrew M. Stuart, Donald J. Estep
Publication date: 10 August 1995
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Hamilton's equations (70H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (5)
A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems ⋮ ERROR GROWTH AND A POSTERIORI ERROR ESTIMATES FOR CONSERVATIVE GALERKIN APPROXIMATIONS OF PERIODIC ORBITS IN HAMILTONIAN SYSTEMS ⋮ Volume-preserving integrators have linear error growth ⋮ Error propagation in the numerical integration of solitary waves. The regularized long wave equation ⋮ Error propagation in numerical approximations near relative equilibria
Cites Work
- Variable step size does not harm second-order integrators for Hamiltonian systems
- Recent progress in the theory and application of symplectic integrators
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- On the Stiefel-Baumgarte stabilization procedure
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
- Stabilization by manipulation of the Hamiltonian
- Global error control for the continuous Galerkin finite element method for ordinary differential equations
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