On modified equations for discretizations of ODEs

DOI10.1088/0305-4470/39/19/S13zbMath1094.65068MaRDI QIDQ5466912

Per Christian Moan

Publication date: 22 May 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

zbMATH Keywords

discretizationperturbationnumerical examplesLyapunov exponentsHamiltonian systemsmodified equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (3)

Preservation and destruction of periodic orbits by symplectic integrators ⋮ On an asymptotic method for computing the modified energy for symplectic methods ⋮ Modified equations for variational integrators

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