Fitting B/C cosmic-ray data in the AMS-02 era: a cookbook - Model numerical precision, data covariance matrix of errors, cross-section nuisance parameters, and mock data

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Table C.1.

Matrix coefficients for several boundary conditions of the transport equation.

Low-energy conditions	b₀	c₀
#L1: No energy flow J_E = 0
#L2: ∂²u/∂x²\|_x₀ = 0 (1st order)
#L3: ∂²u/∂x²\|_x₀ = 0 (2nd order)
#L4: ∂f/∂p \|_x₀ = 0

High-energy conditions	a_K	b_K

#H1: No energy flow J_E = 0
#H2: ∂²u/∂x²\|_{x_K} = 0 (1st order)
#H3: ∂²u/∂x²\|_{x_K} = 0 (2nd order)
#H4: Pure diffusive limit u = u⁰	0	1

Notes. Our prescriptions are highlighted in boldface. Top: first matrix coefficients a₀ and b₀ (Eqs. (C.5) and (C.6)) for low-energy boundary conditions (prescription L3). Bottom: last matrix coefficients b_K and c_K (Eqs. (C.6) and (C.7)) for high-energy boundary conditions (prescription H4).

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