Pade approximants for linear Boltzmann equation
- 14 October 1979
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 12 (10) , 1633-1642
- https://doi.org/10.1088/0022-3727/12/10/004
Abstract
The iteration technique is used to find the relation between the linear functional and Pade approximants. Two examples are solved as applications: (i) the neutron escape probability and (ii) the reflection and transmission function in radiative transfer and in turn the emergent and transmitted intensities for a finite slab and the emergent intensity for a semi-infinite medium. Numerical calculations are done and compared with the exact results obtained from other techniques. It is found that the Pade approximants converge to the exact results.Keywords
This publication has 15 references indexed in Scilit:
- Influence of the refractive index on the radiative source function of an isotropically scattering mediumJournal of Quantitative Spectroscopy and Radiative Transfer, 1977
- A comparison of variational and discrete ordinate methods for solving radiative transfer problemsJournal of Quantitative Spectroscopy and Radiative Transfer, 1977
- Properties of the solution of the neutron transport Boltzmann equation for slabs and spheres with finite reflectorsJournal of Mathematical Analysis and Applications, 1975
- Convergence of Padé approximants using the solution of linear functional equationsJournal of Mathematical Physics, 1975
- Higher Order Variational Principles and Padé Approximants for Linear FunctionalsNuclear Science and Engineering, 1974
- Bivariational boundsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- Schwinger variational principle and Padé approximantsAnnals of Physics, 1972
- Unitary Padé approximants in strong coupling field theory and application to the calculation of the ρ- and f0-meson regge trajectoriesIl Nuovo Cimento A (1971-1996), 1968
- Chandrasekhar's x- and Y-FunctionsThe Astrophysical Journal Supplement Series, 1966
- On the Radiative Equilibrium of a Stellar Atmosphere. XXIV.The Astrophysical Journal, 1948