Lie-group methods¶
Iserles, A., Munthe-Kaas, H. Z., Nørsett, S. P., & Zanna, A. (2000). Lie-group methods. Acta Numerica.
Cited by¶
3 citations across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Derivative of the Exponential Map
- The correction is an analytic function of \(\operatorname{ad}_X(Y)=[X,Y]\).
This sourceThe original frozen Wikipedia plaintext lost mathematical glyphs and is not used for formula binding.
- The inverse is local to points where the differential is invertible; a formal Bernoulli expansion must not be applied beyond its domain without checking convergence or singularity.
- Diagnostic: What order must the integrator retain, which \(\operatorname{dexp}^{-1}\) terms are needed for it, and what commutator count follows?
- The correction is an analytic function of \(\operatorname{ad}_X(Y)=[X,Y]\).
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