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Description:
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This thesis presents a positive method for numerically solving the neutron transport equation in spherical geometry . The method is shown to have an asymptotic error expansion allowing the use of Richardson extrapolation to improve the numerical results . Numerical results for the method are presented for several spherical models . These results are compared to exact solutions where possible and to numerical results from standard nonpositive difference methods . In addition , a convergence analysis is presented for the method . |