On a new iteration for solving chandrasekhar's H-equations
DOI:
https://doi.org/10.22199/S07160917.1988.0015.00002Keywords:
Radiative transfer, quadratic equations, neutron transport, contraction mapping.Abstract
A new iteration for solving Chandrasekhar's H-Equation is given. Under certain assumptions the iteration converges without the usual positivity assumptions on the parameters·involved.References
1. Argyros, I.K. Quadratic equations and applications to Chandrasekhar's and Related Equations. Bull. Austral. Math. Soc., Vol. 32, Nº 2 (1985), pp. 275-292.
2. Chandrasekhar, S. Radiative Transfer, Oxford U. P., London, 1950.
3. Case, K.M. and Zwiefel, P. F., Linear Transfort Theory, Addison-Wesley Publ. 1967.
4. Kelley, C. T. Solution of the Chandrasekhar H-equation by Newton's Method. J. Math. Phys. 21 (7), (1970), pp. 1625-1628.
5. Rall, L. B. Quadratic Equations in Banach Spoce. Rend. Circ. Math. Palermo 10, 314 (1961), pp. 314-332.
6. ____. Computational Solutions of Nonlinear Operator Equations, Wiley, New York, 1969.
2. Chandrasekhar, S. Radiative Transfer, Oxford U. P., London, 1950.
3. Case, K.M. and Zwiefel, P. F., Linear Transfort Theory, Addison-Wesley Publ. 1967.
4. Kelley, C. T. Solution of the Chandrasekhar H-equation by Newton's Method. J. Math. Phys. 21 (7), (1970), pp. 1625-1628.
5. Rall, L. B. Quadratic Equations in Banach Spoce. Rend. Circ. Math. Palermo 10, 314 (1961), pp. 314-332.
6. ____. Computational Solutions of Nonlinear Operator Equations, Wiley, New York, 1969.
Published
2018-03-28
How to Cite
[1]
I. K. Argyros, “On a new iteration for solving chandrasekhar’s H-equations”, Proyecciones (Antofagasta, On line), vol. 7, no. 15, pp. 21-31, Mar. 2018.
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