Parallel Eigensolvers for a Discretized Radiative Transfer Problem

Authors:
Paulo B. Vasconcelos;Osni Marques;Jose E. Roman
Affiliations:
Faculdade de Economia da Universidade do Porto, Porto, Portugal 4200-464;Lawrence Berkeley National Laboratory, Berkeley, USA CA 94720-8139;Instituto ITACA, Universidad Politécnica de Valencia, Valencia, Spain 46022
Venue:
High Performance Computing for Computational Science - VECPAR 2008
Year:
2008

Citing 11
Cited 0

ScaLAPACK user's guide

ScaLAPACK user's guide
A new O (N(2)) algorithm for the symmetric tridiagonal eigenvalue/eigenvector problem

A new O (N(2)) algorithm for the symmetric tridiagonal eigenvalue/eigenvector problem
Templates for the solution of algebraic eigenvalue problems: a practical guide

Templates for the solution of algebraic eigenvalue problems: a practical guide
A Krylov--Schur Algorithm for Large Eigenproblems

SIAM Journal on Matrix Analysis and Applications
An L1 refined projection approximate solution of the radiation transfer equation in stellar atmospheres

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
BoomerAMG: a parallel algebraic multigrid solver and preconditioner

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
An overview of the Advanced CompuTational Software (ACTS) collection

ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems

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,
Nearly Optimal Preconditioned Methods for Hermitian Eigenproblems under Limited Memory. Part I: Seeking One Eigenvalue

SIAM Journal on Scientific Computing
Evaluation of linear solvers for astrophysics transfer problems

VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science

Quantified Score

Hi-index	0.00

Visualization

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.