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- W2895508051 abstract "We present results on existence and positivity of solutions for a linear Boltzmann transport equation used for example in radiotherapy applications and more generally in charged particle transports. Therein, some differential cross-sections, that is, kernels of collision integral operators, may become hyper-singular. These collision operators need to be approximated for analytical and numerical treatments. Here, we present an approximation leading to pseudo-differential operators. The final approximation, for which the existence and positivity of solutions is shown, is an integro-partial differential operator which is known as Continuous Slowing Down Approximation (CSDA)." @default.
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- W2895508051 date "2018-12-30" @default.
- W2895508051 modified "2023-09-26" @default.
- W2895508051 title "On approximative linear Boltzmann transport equation for charged particles" @default.
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- W2895508051 doi "https://doi.org/10.1142/s0218202518500641" @default.
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