The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996297217 ◽

1998 ◽

Vol 35 (1) ◽

pp. 406-434 ◽

Author(s):

Zhongying Chen ◽

Yuesheng Xu

Keyword(s):

Integral Equations ◽

Galerkin Methods

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Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels

Numerical Algorithms ◽

10.1007/s11075-021-01223-5 ◽

2021 ◽

Author(s):

Haotao Cai

Keyword(s):

Integral Equations ◽

Galerkin Methods ◽

Highly Oscillatory

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Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

Computational and Applied Mathematics ◽

10.1007/s40314-019-0967-5 ◽

2019 ◽

Vol 38 (4) ◽

Author(s):

Nilofar Nahid ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Laguerre Polynomials ◽

Half Line ◽

Galerkin Methods ◽

Linear Integral ◽

Linear Integral Equations

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Uniform error estimates of Galerkin methods for monotone Abel-Volterra integral equations on the half-line

Mathematics of Computation ◽

10.1090/s0025-5718-1989-0969485-x ◽

1989 ◽

Vol 53 (187) ◽

pp. 157-157 ◽

Author(s):

P. P. B. Eggermont

Keyword(s):

Integral Equations ◽

Error Estimates ◽

Volterra Integral Equations ◽

Half Line ◽

Galerkin Methods ◽

Uniform Error ◽

Uniform Error Estimates

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Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0163 ◽

2021 ◽

Vol 13 (5) ◽

pp. 1227-1260

Author(s):

global sci

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Galerkin Methods ◽

Weakly Singular ◽

Spectral Galerkin Methods

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Wavelet-Galerkin methods for second kind integral equations

Wavelet Analysis and Applications - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/025/17 ◽

2002 ◽

pp. 207-216

Keyword(s):

Integral Equations ◽

Galerkin Methods

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Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112403 ◽

2020 ◽

Vol 366 ◽

pp. 112403 ◽

Author(s):

Yin Yang ◽

Emran Tohidi ◽

Xiaohua Ma ◽

Sujuan Kang

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Galerkin Methods ◽

Spectral Galerkin Methods

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Fast multiscale Galerkin methods for solving ill-posed integral equations via a coupled system under general source conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.05.065 ◽

2013 ◽

Vol 408 (1) ◽

pp. 213-224 ◽

Author(s):

Shengpei Ding ◽

Hongqi Yang

Keyword(s):

Integral Equations ◽

Coupled System ◽

Galerkin Methods ◽

Ill Posed ◽

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A construction of multiscale bases for Petrov–Galerkin methods for integral equations

Advances in Computational Mathematics ◽

10.1007/s10444-003-7607-7 ◽

2006 ◽

Vol 25 (1-3) ◽

pp. 7-22 ◽

Author(s):

Min Huang

Keyword(s):

Integral Equations ◽

Galerkin Methods

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Convergence Analysis of Spectral Galerkin Methods for Volterra Type Integral Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9577-8 ◽

2012 ◽

Vol 53 (2) ◽

pp. 414-434 ◽

Author(s):

Ziqing Xie ◽

Xianjuan Li ◽

Tao Tang

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Galerkin Methods ◽

Volterra Type ◽

Type Integral ◽

Spectral Galerkin Methods

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Galerkin methods for second kind integral equations with singularities

Mathematics of Computation ◽

10.1090/s0025-5718-1982-0669644-3 ◽

1982 ◽

Vol 39 (160) ◽

pp. 519-519 ◽

Author(s):

Ivan G. Graham

Keyword(s):

Integral Equations ◽

Galerkin Methods

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