Abstract
In this work we consider the numerical computation of eigenpairs of a matrix derived from integral operators. The matrix is associated to a radiative transfer problem in stellar atmospheres that is formulated by means of a weakly singular Fredholm integral equation defined on a Banach space. We examine direct and iterative parallel strategies for the eigensolution phase, using state-of-the-art numerical methods implemented in publicly available software packages.
This work was partially supported by the Portuguese and Spanish governments via an Integrated Action (resp. ref. E-41/07 and ref. HP2006-0004), and partly by the Director, Office of Science, Advanced Scientific Computing Research Program, of the U.S. Department of Energy under contract No. DE-AC02-05CH11231.
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Vasconcelos, P.B., Marques, O., Roman, J.E. (2008). Parallel Eigensolvers for a Discretized Radiative Transfer Problem. In: Palma, J.M.L.M., Amestoy, P.R., Daydé, M., Mattoso, M., Lopes, J.C. (eds) High Performance Computing for Computational Science - VECPAR 2008. VECPAR 2008. Lecture Notes in Computer Science, vol 5336. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92859-1_30
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DOI: https://doi.org/10.1007/978-3-540-92859-1_30
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