Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations

arXiv

2022 | other

Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations

Numerical Functional Analysis and Optimization

2022 | journal-article

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

Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations

2019 | book-chapter

Iterated Kantorovich versus Kulkarni method for Fredholm integral equations

Integral Methods in Science and Engineering. Vol. 2: Computational Methods

2017 | book-chapter

Projection methods based on grids for weakly singular integral equations

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2017 | journal-article

Accuracy of the discretization matrix of a radiative transfer problem

Proceedings - 14th International Conference on Computational Science and Its Applications, ICCSA 2014

2014 | conference-paper

Application of eigensolvers in quadratic eigenvalue problems for brake systems analysis

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2014 | conference-paper

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2014 | journal-article

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

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2013 | journal-article

Errors and grids for projected weakly singular integral equations

International Journal of Pure and Applied Mathematics

2013 | journal-article

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

Applied Mathematics and Computation

2012 | journal-article

Comparison of two discretizations for spectral computations for integral operators

International Journal of Pure and Applied Mathematics

2011 | journal-article

Error bounds for L¹ galerkin approximations of weakly singular integral operators

Integral Methods in Science and Engineering: Analytic Methods

2010 | conference-paper

Integral Operator Spectral Computations using PETSc/SLEPc libraries

IBERGRID: 4TH IBERIAN GRID INFRASTRUCTURE CONFERENCE PROCEEDINGS

2010 | conference-paper

Piecewise constant Galerkin approximations of weakly singular integral equations

International Journal of Pure and Applied Mathematics

2009 | journal-article

Defect correction for spectral computations for a singular integral operator

Communications on Pure and Applied Analysis

2006 | journal-article

Discretization of Iterative Refinement Methods for Fredholm Integral Equations.

Journal of Analysis

2006 | journal-article

Performance evaluation of a parallel algorithm for a radiative transfer problem

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2006 | conference-paper

Spectral refinement for clustered eigenvalues of quasi-diagonal matrices

Linear Algebra and Its Applications

2006 | conference-paper

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

Applied Mathematics Letters

2005 | journal-article

Spectral refinement on quasi-diagonal matrices

Linear Algebra and Its Applications

2005 | journal-article

Topic 10 parallel numerical algorithms

Lecture Notes in Computer Science

2005 | conference-paper

A parallel code for integral equations on a cluster of computers

INTEGRAL METHODS IN SCIENCE AND ENGINEERING: ANALYTIC AND NUMERICAL TECHNIQUES

2004 | conference-paper

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

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2003 | book

An L¹ refined projection approximate solution of the radiation transfer equation in stellar atmospheres

Journal of Computational and Applied Mathematics

2002 | journal-article

Nonoverlapping domain decomposition applied to a computational fluid mechanics code

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

1999 | conference-paper

Preconditioned iterative methods for coupled discretizations of fluid flow problems

IMA Journal of Numerical Analysis

1998 | journal-article

Parallelization of an implicit algorithm for fluid flow problems

PARALLEL AND DISTRIBUTED PROCESSING FOR COMPUTATIONAL MECHANICS: SYSTEMS AND TOOLS

1997 | conference-paper

Preconditioners for nonsymmetric linear systems in domain decomposition applied to a coupled discretization of navier-stokes equations

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

1997 | conference-paper

Columnwise block LU factorization using blas kernels on VAX 6520/2VP

Computing Systems in Engineering

1995 | journal-article

Editorial

Computing Systems in Engineering

1995 | journal-article

Editorial

Computing Systems in Engineering

1995 | journal-article

Performance of a QR algorithm implementation on a multicluster of transputers

Computing Systems in Engineering

1995 | journal-article

Is the iterative refinement of eigenelements an expensive technique?

Journal of Computational and Applied Mathematics

1987 | journal-article

ITERATIVE REFINEMENT FOR APPROXIMATE EIGENELEMENTS OF COMPACT-OPERATORS

RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS

1984 | journal-article

Iterative Refinement for Approximate Eigenelements of Compact Operators

R.A.I.R.O. Analyse Numérique

1984 | journal-article