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Title: ON A NUMERICAL APPROXIMATION TO THE SOLUTION OF THE ONE-DIMENSIONAL, ONE- VELOCITY TRANSPORT EQUATION WITH ISOTROPIC SCATTERING (thesis)

Technical Report ·
OSTI ID:4172878

A numerical approximation to the solution of the onedimensional, one- velocity neutron transport equation using the method of discrete ordinates is considered. It has been shown that the discrete case is convergent for a modified Gauss-Seidel iteration procedure. A mathematical discussion is presented for the properties of the coefficient matrix formed by the difference equations. The various iterative procedures which may be used to solve the discrete case are discussed. (W.D.M.)

Research Organization:
Westinghouse Electric Corp. Bettis Plant, Pittsburgh
NSA Number:
NSA-14-007913
OSTI ID:
4172878
Report Number(s):
WAPD-T-706
Resource Relation:
Other Information: Submitted to the Univ. of Pittsburgh. Orig. Receipt Date: 31-DEC-60
Country of Publication:
United States
Language:
English