ScaLAPACK user's guide
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
MPI: The Complete Reference
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
An overview of the Advanced CompuTational Software (ACTS) collection
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A parallel implementation of the Atkinson algorithm for solving a Fredholm equation
VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
Performance evaluation of a parallel algorithm for a radiative transfer problem
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Parallel Eigensolvers for a Discretized Radiative Transfer Problem
High Performance Computing for Computational Science - VECPAR 2008
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In this work we consider the numerical solution of a radiative transfer equation for modeling the emission of photons in stellar atmospheres. Mathematically, the problem is formulated in terms of a weakly singular Fredholm integral equation defined on a Banach space. Computational approaches to solve the problem are discussed, using direct and iterative strategies that are implemented in open source packages.