Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones

DOI10.1090/S0025-5718-03-01538-2zbMath1029.65081OpenAlexW1979507655MaRDI QIDQ4417159

A. Durán, Begoña Cano

Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01538-2

zbMATH Keywords

stabilitynumerical resultsperiodic orbitsreversible systemslinear multistep methodserror growthasymptotic expansion of the errorvariable stepsizessymmetric integrators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability and convergence of numerical methods for ordinary differential equations (65L20) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Conserved quantities of some Hamiltonian wave equations after full discretization ⋮ A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems ⋮ Error propagation in numerical approximations near relative equilibria

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