REFERENCES
- Barichello, L.B., Siewert, C.E. (1999). A discrete-ordinates solution for a non-grey model with complete frequency redistribution. J. Quant. Spectrosc. Radiat. Transfer 62:665–675.
- Davison, B. (1957). Neutron Transport Theory. London: Oxford University Press.
- Dongarra, J.J., Bunch, J.R., Moler, C.B., Stewart, G.W. (1979). LINPACK Users’ Guide. Philadelphia: SIAM.
- Garcia, R. D.M. (2013). Efficient implementation of the discrete-ordinates method for an approximate model of particle transport in ducts. Proc. Congress on Numerical Methods in Engineering—CMN2013, Bilbao, June 25–28, 2013. http://congress.cimne.com/metnum2013/Proceedings/full/p249.pdf (accessed on Nov. 25, 2013).
- Garcia, R. D.M., Ono, S., Vieira, W.J. (2000). The third basis function relevant to an approximate model of neutral particle transport in ducts. Nucl. Sci. Eng. 136:388–398.
- Garcia, R. D.M., Siewert, C.E. (1981). Radiative transfer in inhomogeneous atmospheres—numerical results. J. Quant. Spectrosc. Radiat. Transfer 25:277–283.
- Garcia, R. D.M., Siewert, C.E. (1996). A note on the PN method with Mark boundary conditions. Nucl. Sci. Eng. 124: 358–360.
- Gautschi, W. (1968). Construction of Gauss-Christoffel quadrature formulas. Math. Comp. 22:251–270.
- Jing, Y., Larsen, E.W., Xiang, N. (2010). One-dimensional transport equation models for sound energy propagation in long spaces: Theory. J. Acoust. Soc. Am. 127:2312–2322.
- Jing, Y., Xiang, N. (2010). One-dimensional transport equation models for sound energy propagation in long spaces: Simulations and experiments. J. Acoust. Soc. Am. 127:2323–2331.
- Larsen, E.W. (1984). A one-dimensional model for three-dimensional transport in a pipe. Transp. Theory Stat. Phys. 13:599–614.
- Larsen, E.W., Malvagi, F., Pomraning, G.C. (1986). One-dimensional models for neutral particle transport in ducts. Nucl. Sci. Eng. 93:13–30.
- Meyer, C.D. (2000). Matrix Analysis and Applied Linear Algebra. Philadelphia: SIAM.
- Noble, B., Daniel, J.W. (1977). Applied Linear Algebra, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall.
- Prinja, A.K., Pomraning, G.C. (1984). A statistical model of transport in a vacuum. Transp. Theory Stat. Phys. 13:567–598.
- Siewert, C.E., Wright, S.J. (1999). Efficient eigenvalue calculations in radiative transfer. J. Quant. Spectrosc. Radiat. Transfer 62:685–688.
- Williams, M. M.R. (1971). Mathematical Methods in Particle Transport Theory. London: Butterworth.
- Williams, M. M.R. (2007). Radiation transport in a light duct using a one-dimensional model. Phys. Scr. 76:303–313.