An Hermitian method for the solution of radiative transfer problems

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Boundary Value Problems, Differential Equations, Hermitian Polynomial, Radiative Transfer, Boundary Conditions, Difference Equations, Error Analysis, Integral Equations, Numerical Stability

Scientific paper

A differential-equation method for solving the radiative-transfer equation is developed which is based on a three-point Hermitian formula and is substantially more accurate than integral-equation methods. Third-order boundary conditions are derived, and a generalization to the multifrequency-angle case is outlined. The accuracy and stability of the present method are compared with those of other differential- and integral-equation methods currently in use.

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