Discrete-Ordinates Methods for Radiative Transfer in the Non-Relativistic Stellar Regime Jim E. Morel Continuum Dynamics Group, CCS-2 The model is intended to be accurate in an integral sense, but not a differential sense. All of these additional process and equations are treated via operator The emphasis is on general methods, ones that are applicable to a wide variety of nonlinear integral equations. These methods include projection methods (Galerkin and collocation) and Nystrom :// The kernels of the integral equation describing the radiative transfer are very similar to the kernels of the integral equations occuring in the boundary element method. Therefore, with only slight modifications, the matrix compression methods, developed for the latter are readily applicable to the :// This work is devoted to Fredholm integral equations of second kind with non-separable kernels. Our strategy is to approximate the non-separable kernel by using an adequate Taylor’s development. Then, we adapt an already known technique used for separable kernels to our case. First, we study the local convergence of the proposed iterative scheme, so we obtain a ball of starting points

done so far in using moving mesh methods for the numerical solution of the RTE. In this paper, we study a moving mesh method based on moving mesh partial dif-ferential equations (MMPDEs) [18–20] to solve the radiative transfer equation. An MM-PDE moves the mesh continuously in time and orderly in space and is formulated as In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We believe that this is a first result concerning the existence of multiple solutions for such An important special case of that functional equation is Chandrasekhar’s integral equation which appears in radiative transfer, neutron transport and the kinetic theory of gases [1]. In this paper, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contain various integral and ?paperID= @article{osti_, title = {A continuous exchange factor method for radiative exchange in enclosures with participating media}, author = {Naraghi, M H.N. and Litkouhi, B and Chung, B T.F.}, abstractNote = {A continuous exchange factor method for the analysis of radiative exchange in gray enclosures with absorbing-emitting and isotropically scattering media and diffuse surfaces is ://