Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems

By Sergio Blanes, Per Christian Moan. 2006

97 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8334c02953c2a8a9fc39da291c3457d169f28c21

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. José Ros
2. Fernando Casas
3. José Ángel Oteo
4. Sergio Blanes
5. R. Townsend
6. Ignacio Duran
7. Ronnie Kosloff
8. S. Teitler

In Numerical Analysis

1. Fernando Casas
2. Sergio Blanes
3. José Ángel Oteo
4. José Ros
5. Ronnie Kosloff
6. R. Townsend
7. Ignacio Duran
8. S. Teitler

In Statistical and Nonlinear Physics

1. Fernando Casas
2. Sergio Blanes
3. José Ángel Oteo
4. José Ros

Citations in the corpus

• Octopus, a computational framework for exploring light-driven phenomena and quantum dynamics in extended and finite systems. (2019, methodology): “166 for linear non-autonomous systems, the CFM expansion offers an alternative to the “standard” Magnus expansion, which requires expensive application of nested commu-tators of the Hamiltonian with itself at different times.”
• The Magnus expansion and some of its applications (2008, methodology): “A detailed study of fourth and sixth order commutator-free methods is presented in [28].”