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

Download Full-text

On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.073 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4884-4891 ◽

Author(s):

Shuhuang Xiang ◽

Kaixian He

Keyword(s):

Integral Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Volterra Integral Equations ◽

Galerkin Methods ◽

Highly Oscillatory

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Spectral computation of highly oscillatory integral equations in laser theory

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.045 ◽

2019 ◽

Vol 395 ◽

pp. 351-381

Author(s):

Jing Gao ◽

Marissa Condon ◽

Arieh Iserles

Keyword(s):

Integral Equations ◽

Oscillatory Integral ◽

Laser Theory ◽

Highly Oscillatory Integral ◽

Highly Oscillatory

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

On Filon methods for a class of Volterra integral equations with highly oscillatory Bessel kernels

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.06.111 ◽

2015 ◽

Vol 268 ◽

pp. 783-792 ◽

Author(s):

Chunhua Fang ◽

Junjie Ma ◽

Meiying Xiang

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Highly Oscillatory

Download Full-text