Approximately preserving symmetries in the numerical integration of ordinary differential equations

DOI10.1017/S0956792599003927zbMath0939.65139MaRDI QIDQ4719093

Arieh Iserles, Antonella Zanna, Robert I. Mclachlan

Publication date: 19 June 2000

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationdynamical systemsplitting methodsThue-Morse sequencestructure preservationsymmetry preservationmatrix flows

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items

Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows., Symmetric spaces and Lie triple systems in numerical analysis of differential equations, Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method, The Fer expansion and time-symmetry: A Strang-type approach, Generating functions for dynamical systems with symmetries, integrals, and differential invariants, Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups, Preserving algebraic invariants with Runge-Kutta methods