Richardson extrapolation of a positive method for numerically solving the transport equation in spherical geometry

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Title: Richardson extrapolation of a positive method for numerically solving the transport equation in spherical geometry
Author: Abbott, William Ervin
Abstract: 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 .
URI: http : / /hdl .handle .net /2346 /13702
Date: 1989-05

Citation

Richardson extrapolation of a positive method for numerically solving the transport equation in spherical geometry. Master's thesis, Texas Tech University. Available electronically from http : / /hdl .handle .net /2346 /13702 .

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