On the Estimation of Errors in Reactor Theory

A larger scope for the functional analysis method for error estimation is obtained by introducing the L₁ space to the calculations. The advantages of introducing the L₁ space are the possible close estimation of errors and a simplification of the calculations. Introduction of the L₁ space to reactor physics problems gives also some special meanings to the interpretation of errors, because this is the natural space for reactor theory problems. The method is illustrated by some examples, dealing with the multigroup diffusion equation, where errors in eigenvalues and in fluxes are estimated and compared with the actual errors.