2022

Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations

CoRR | 2022 | misc
2019

Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind

Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations | 2019 | incollection

Ahues M.

Fernandes R.

Vasconcelos P.B.

2017

Projection methods based on grids for weakly singular integral equations

Applied Numerical Mathematics | 2017 | article
2014

Accuracy of the Discretization Matrix of a Radiative Transfer Problem

2014 14th International Conference on Computational Science and Its Applications (iccsa) | 2014 | inproceedings
2014

Application of Eigensolvers in Quadratic Eigenvalue Problems for Brake Systems Analysis

Computational Science and Its Applications, Part Vi - Iccsa 2014 | 2014 | inproceedings
2014

For Nonlinear Infinite Dimensional Equations, Which To Begin With: Linearization Or Discretization?

Journal of Integral Equations and Applications | 2014 | article

L Grammont

M Ahues

2013

A Jacobi-Davidson type method with a correction equation tailored for integral operators

Numerical Algorithms | 2013 | article
2013

Errors and grids for projected weakly singular integral equations

International Journal of Pure and Applied Mathematics | 2013 | article

M Ahues

R Fernandes

2012

Convergence of Multipower Defect-Correction for spectral computations of integral operators

Applied Mathematics and Computation | 2012 | article
2011

Comparison of two discretizations for spectral computations for integral operators

International Journal of Pure and Applied Mathematics | 2011 | article
2010

Error Bounds for L-1 Galerkin Approximations of Weakly Singular Integral Operators

Integral Methods in Science and Engineering Vol 2: Computational Methods | 2010 | inproceedings

M Ahues

R Fernandes

2010

Integral Operator Spectral Computations using PETSc/SLEPc libraries

Ibergrid: 4th Iberian Grid Infrastructure Conference Proceedings | 2010 | inproceedings
2009

Piecewise constant Galerkin approximations of weakly singular integral equations

International Journal of Pure and Applied Mathematics | 2009 | article

M Ahues

RR Fernandes

2006

Defect correction for spectral computations for a singular integral operator

Communications on Pure and Applied Analysis | 2006 | article
2006

Performance evaluation of a parallel algorithm for a radiative transfer problem

Applied Parallel Computing: State of the Art in Scientific Computing | 2006 | article
2006

Spectral refinement for clustered eigenvalues of quasi-diagonal matrices

Linear Algebra and Its Applications | 2006 | article
2005

A numerical study of iterative refinement schemes for weakly singular integral equations

Applied Mathematics Letters | 2005 | article
2005

Spectral refinement on quasi-diagonal matrices

Linear Algebra and Its Applications | 2005 | article
2005

Topic 10 parallel numerical algorithms

Lecture Notes in Computer Science | 2005 | inproceedings

AM Goscinski

BK Szymanski

J Kitowski

2004

A parallel code for integral equations on a cluster of computers

Integral Methods in Science and Engineering: Analytic and Numerical Techniques | 2004 | inproceedings
2003

A parallel implementation of the Atkinson algorithm for solving a Fredholm equation

High Performance Computing For Computational Science - Vecpar 2002 | 2003 | article
2002

An L-1 refined projection approximate solution of the radiation transfer equation in stellar atmospheres

Journal of Computational and Applied Mathematics | 2002 | article

A Largillier

M Ahues

O Titaud

1999

Nonoverlapping domain decomposition applied to a computational fluid mechanics code

Euro-par'99: Parallel Processing | 1999 | article
1998

Preconditioned iterative methods for coupled discretizations of fluid flow problems

Ima Journal of Numerical Analysis | 1998 | article
1997

Parallelization of an implicit algorithm for fluid flow problems

Parallel and Distributed Processing For Computational Mechanics: Systems and Tools | 1997 | inproceedings