Asymptotic error analysis of the adaptive Verlet method

DOI10.1023/A:1022313123291zbMath0924.65070OpenAlexW1554968945MaRDI QIDQ1283245

Stéphane Cirilli, Benedict J. Leimkuhler, Ernst Hairer

Publication date: 13 April 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022313123291

zbMATH Keywords

algorithmHamiltonian systemsnumerical stabilityasymptotic error expansionbackward error analysisadaptive Verlet methodSundman time-transformationstime-reversible variable stepsizes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (max. 100)

Sundman transformation and alternative tangent structures ⋮ Infinitesimal time reparametrisation and its applications ⋮ odeToJava ⋮ Explicit variable step-size and time-reversible integration ⋮ Reversible adaptive regularization methods for atomic \(N\)-body problems in applied fields ⋮ An efficient multiple time-scale reversible integrator for the gravitational \(N\)-body problem

This page was built for publication: Asymptotic error analysis of the adaptive Verlet method