High order numerical integrators for differential equations using composition and processing of low order methods

DOI10.1016/S0168-9274(00)00044-1zbMath0988.65049MaRDI QIDQ5937472

Sergio Blanes

Publication date: 2 January 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesinitial value problemscomposition of low order methodshigh-order integratorsprocessing of low order methods

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (6)

Higher order volume-preserving schemes for charged particle dynamics ⋮ Discrete gradient algorithms of high order for one-dimensional systems ⋮ Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations ⋮ Raising the order of geometric numerical integrators by composition and extrapolation ⋮ On the necessity of negative coefficients for operator splitting schemes of order higher than two ⋮ Splitting K-symplectic methods for non-canonical separable Hamiltonian problems

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