The Application of Lie Series to Reactor Theory

Lie series are power series solutions of differential equations, whose expansion coefficients can be derived from algebraic recursion relations. The method of deriving these relations is illustrated by solving three problems: 1) multigroup diffusion theory; 2) multigroup P_N theory in cylindrical geometry; and 3) spaceindependent xenon dynamics. It is shown that the Lie series formalism leads to considerable simplification in the analytical treatment of complex problems.