Why Magnus expansion. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Oteo, J. A.; Ros, J.
• Is Part Of: International journal of computer mathematics. Volume 99:Issue 1(2022)
• Page Start: 21
• Page End: 30
• Publication Date: 2022-01-02
• Subjects: Magnus expansion -- geometric integration -- Dyson expansion -- Magnus operator -- exponential perturbation theory; 34C60; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1938011
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : A short story about the origins of Magnus Expansion, why we got involved and how it led us to meet Geometric Integration. We present a biographical draft of Wilhelm Magnus, a sketchy discussion of what is the expansion which carries his name and a derivation of the formalism equations. We explain the important feature that makes the expansion an appropriate tool to develop Geometric Integration schemes.