THE NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS.
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The marchout method is extended to the numerical solution of second order 2-dimensional inhomogeneous problems and the one velocity neutron transport equation. In the method the solution is expanded in a full set of vectors which are used in an unstable difference equation. The error growth is controlled, however, by periodic matrix transformations which insure the completeness of the vector set. The error in the solution is determined by the frequency of these transformations and may be preset. The method has its greatest advantage in relation to the computational speed of conventional methods in elongated meshes, such as multigroup diffusion calculations or low order discrete ordinate or P sub N calculations with many spatial mesh points. Author