## Benchmark solutions for the galactic heavy-ion transport equations with energy and spatial couplingNational Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1991 - Science - 54 pages |

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100 MeV/nucleon 995 MeV/nucleon analytical solution arbitrary units arbitrary units 408 benchmark solutions Boltzmann equation Bragg peak charge number cident closed-form coefficients composite beam continuous slowing-down cosmic ray cross-section normalization decreases defined by equation distributed source Dj(x Dose profiles n0 energy per nucleon energy variable equa equation 22a equation 27 ergy evaluated Figure 27 finite-difference solution flux for ion g/cm Ganapol GCR code GIT equations given by equation Green's function Heaviside step function heavy ions incident energy incident neon incident nickel increases Individual ions ions at E0 ions of charge k=j+ Langley Research Center Laplace transform light ions lighter ions NASA neon beam neon ions nonzero nuclear numerical inversion obtained from equation parameters path length performed analytically proton range proton stopping power radiation recurrence relation Romberg integration round-off error s/vj shield surface show the flux source energy SP(E tion Variation of flux vj-hx zero