In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first order linear homogeneous differential equation for a linear operator. In particular it furnishes the fundamental matrix of a system of linear ordinary differential equations of order with varying coefficients. The exponent is built up as an infinite series whose terms involve multiple integrals and nested commutators.
Read more about Magnus Expansion: Contents, Magnus Approach and Its Interpretation, Convergence of The Expansion, Magnus Generator, Applications, See Also
Famous quotes containing the words magnus and/or expansion:
“Every orientation presupposes a disorientation.”
—Hans Magnus Enzensberger (b. 1929)
“The fundamental steps of expansion that will open a person, over time, to the full flowering of his or her individuality are the same for both genders. But men and women are rarely in the same place struggling with the same questions at the same age.”
—Gail Sheehy (20th century)