A Product Integration Approach Based on New Orthogonal Polynomials for Nonlinear Weakly Singular Integral Equations

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9351-y ◽

2008 ◽

Vol 109 (3) ◽

pp. 861-873 ◽

Author(s):

M. Rasty ◽

M. Hadizadeh

Keyword(s):

Orthogonal Polynomials ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Integration Approach ◽

Weakly Singular Integral Equations

Download Full-text

Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.031 ◽

2010 ◽

Vol 233 (11) ◽

pp. 2855-2866 ◽

Author(s):

C. Allouch ◽

P. Sablonnière ◽

D. Sbibih ◽

M. Tahrichi

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Integration Methods ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90069-8 ◽

1993 ◽

Vol 26 (5) ◽

pp. 21-26 ◽

Author(s):

B. Bertram

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Numerical Implementation ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

A note on the convergence of product integration and Galerkin method for weakly singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00108-8 ◽

1997 ◽

Vol 85 (1) ◽

pp. 11-18 ◽

Author(s):

Paola Baratella

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.013 ◽

2014 ◽

Vol 81 ◽

pp. 76-93 ◽

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Error Analysis ◽

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

Product integration for weakly singular integral equations

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0595053-0 ◽

1981 ◽

Vol 36 (153) ◽

pp. 207-207 ◽

Author(s):

Claus Schneider

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

Product Integration for Weakly Singular Integral Equations In ℝm

Constructive Methods for the Practical Treatment of Integral Equations ◽

10.1007/978-3-0348-9317-6_13 ◽

1985 ◽

pp. 156-165 ◽

Author(s):

Ivan G. Graham ◽

Claus Schneider

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

Additive Schwarz Methods for Weakly Singular Integral Equations In R3 — The P-Version

Notes on Numerical Fluid Mechanics (NNFM) - Boundary Elements: Implementation and Analysis of Advanced Algorithms ◽

10.1007/978-3-322-89941-5_10 ◽

1996 ◽

pp. 126-135

Author(s):

Norbert Heuer

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Schwarz Methods ◽

Additive Schwarz ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Additive Schwarz Methods

Download Full-text

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

Integral Methods in Science and Engineering ◽

10.1007/978-3-030-16077-7_1 ◽

2019 ◽

pp. 1-13

Author(s):

Mario Ahues ◽

Filomena D. d’Almeida ◽

Rosário Fernandes ◽

Paulo B. Vasconcelos

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Weakly Singular ◽

Weakly Singular Integral Equations

Download Full-text

Convergence properties of a class of product formulas for weakly singular integral equations

Mathematics of Computation ◽

10.1090/s0025-5718-1990-1023045-1 ◽

1990 ◽

Vol 55 (191) ◽

pp. 213-213 ◽

Author(s):

Giuliana Criscuolo ◽

Giuseppe Mastroianni ◽

Giovanni Monegato

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Convergence Properties ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Product Formulas

Download Full-text

Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations

Applicable Analysis ◽

10.1080/00036811.2020.1800651 ◽

2020 ◽

pp. 1-34

Author(s):

Gregor Gantner ◽

Dirk Praetorius

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Elliptic Pde ◽

Weakly Singular ◽

Weakly Singular Integral Equations ◽

Pde Systems ◽

Abstract Framework

Download Full-text