A New Implementation of Symplectic Runge–Kutta Methods

DOI10.1137/06065338XzbMath1145.65111OpenAlexW2030679105MaRDI QIDQ3516102

Robert I. Mclachlan

Publication date: 1 August 2008

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

Full work available at URL: https://doi.org/10.1137/06065338x

zbMATH Keywords

inexact Newton methodsnumerical examplesHamiltonianRunge-Kutta methodsymplectic integratorsNewton-Taylor iteration

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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