ERROR GROWTH AND A POSTERIORI ERROR ESTIMATES FOR CONSERVATIVE GALERKIN APPROXIMATIONS OF PERIODIC ORBITS IN HAMILTONIAN SYSTEMS
DOI10.1142/S0218202500000045zbMath1012.65137MaRDI QIDQ4798780
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Cites Work
- Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
- The rate of error growth in Hamiltonian-conserving integrators
- Variable steps for reversible integration methods
- The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
- A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
- Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems
- Global error control for the continuous Galerkin finite element method for ordinary differential equations
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