17 search results - page 1 / 4 » On the Hopf Algebraic Structure of Lie Group Integrators |
FOCM
2008
13 years 11 months ago
2008
FOCM
2006
13 years 11 months ago
2006
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
FOCM
2010
13 years 9 months ago
2010
B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elega...
CDC
2009
IEEE
14 years 3 months ago
2009
IEEE
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
CDC
2008
IEEE
14 years 5 months ago
2008
IEEE
Abstract— The Chen-Fliess series is known to be an exponential Lie series. Previously explicit formulas for the iterated integral coefficients were known only for its factorizat...