Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
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Publication:5916353
DOI10.1007/BF01385510zbMath0741.65056MaRDI QIDQ5916353
Timo Eirola, Jesús María Sanz-Serna
Publication date: 25 June 1992
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133622
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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An iterative starting method to control parasitism for the Leapfrog method ⋮ Krylov integrators for Hamiltonian systems ⋮ General linear methods with projection ⋮ Numerical solution of isospectral flows ⋮ Recent progress in the theory and application of symplectic integrators ⋮ An easily implementable fourth-order method for the time integration of wave problems ⋮ Symmetric general linear methods
Cites Work
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- A Hamiltonian, explicit algorithm with spectral accuracy for the `good' Boussinesq system
- Runge-Kutta schemes for Hamiltonian systems
- On the equivalence of \(A\)-stability and \(G\)-stability
- Convergence analysis of one-step schemes in the method of lines
- Canonical Runge-Kutta methods
- G-stability is equivalent toA-stability
- On One-Leg Multistep Methods
- Symplectic integration of Hamiltonian systems
- Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
- Studies in Numerical Nonlinear Instability III: Augmented Hamiltonian Systems
- Order Conditions for Canonical Runge–Kutta Schemes
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