Reversible Long-Term Integration with Variable Stepsizes

DOI10.1137/S1064827595285494zbMath0871.65075OpenAlexW2012420344MaRDI QIDQ3124029

Daniel Stoffer, Ernst Hairer

Publication date: 1 October 1997

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827595285494

zbMATH Keywords

Hamiltonian systemsvariable stepsizenumerical comparisonsymmetric Runge-Kutta methodsexplicit GBS extrapolationLobatto III A methodreversible long-term integration

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Dynamical systems and ergodic theory (37-XX)

Related Items

Variable time step integration with symplectic methods, Symmetric second derivative integration methods, Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations, Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones, A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems, Scaling invariance and adaptivity, Symmetric general linear methods, Runge-Kutta type methods for orthogonal integration, Software based on explicit RK formulas, Variable step implementation of geometric integrators