The Fer expansion and time-symmetry: A Strang-type approach

DOI10.1016/S0168-9274(01)00085-XzbMath0996.65072MaRDI QIDQ5954987

Antonella Zanna

Publication date: 7 November 2002

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

zbMATH Keywords

numerical resultsFer expansionStrang-type product of exponentialstime-symmetry

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Waveform Relaxation Methods for Lie-Group Equations ⋮ On the Fer expansion: applications in solid-state nuclear magnetic resonance and physics ⋮ Accurate and efficient simulation of rigid-body rotations. ⋮ Revisiting the applications of Floquet–Magnus and Fer expansion approaches in physics and solid-state NMR

Cites Work

• Solving linear ordinary differential equations by exponentials of iterated commutators
• High order Runge-Kutta methods on manifolds
• Runge-Kutta methods on Lie groups
• Solving Ordinary Differential Equations I
• Computations in a free Lie algebra
• On the solution of linear differential equations in Lie groups
• Collocation and Relaxed Collocation for the Fer and the Magnus Expansions
• Approximating the exponential from a Lie algebra to a Lie group
• Approximately preserving symmetries in the numerical integration of ordinary differential equations
• Magnus and Fer expansions for matrix differential equations: the convergence problem
• Lie Algebraic Solution of Linear Differential Equations
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