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International Journal of Computer Mathematics Volume 87, 2010 - Issue 3
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Section B

A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization

Zhongying Chen Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, People's Republic of China
,
Sirui Cheng Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, People's Republic of ChinaCorrespondence[email protected]
,
Gnaneshwar Nelakanti Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, India
&
Hongqi Yang Department of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, People's Republic of China
Pages 565-582 | Received 11 Jan 2008, Accepted 08 Apr 2008, Published online: 27 Sep 2008

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Subhashree Patel, Bijaya Laxmi Panigrahi & Gnaneshwar Nelakanti. (2023) Multi-projection methods for Fredholm integral equations of the first kind. International Journal of Computer Mathematics 100:4, pages 722-744.
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Song-Hua Li, Wei Lin & Jun Xian. (2013) A compression technique for the boundary integral equation reduced from Helmholtz equation. International Journal of Computer Mathematics 90:3, pages 577-593.
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Articles from other publishers (19)

Rong Zhang, Feiping Xie & Xingjun Luo. (2024) A discretizing Tikhonov regularization method via modified parameter choice rules. Journal of Inverse and Ill-posed Problems 0:0.
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Tahar Bechouat. (2023) A COLLOCATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND VIA ITERATIVE REGULARIZATION SCHEME. Mathematical Modelling and Analysis 28:2, pages 237-254.
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Subhashree Patel, Bijaya Laxmi Panigrahi & Gnaneshwar Nelakanti. (2022) Legendre spectral multi-projection methods for Fredholm integral equations of the first kind. Advances in Operator Theory 7:4.
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Subhashree Patel, Bijaya Laxmi Panigrahi & Gnaneshwar Nelakanti. (2022) Legendre spectral projection methods for Fredholm integral equations of first kind. Journal of Inverse and Ill-posed Problems 0:0.
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Hongqi Yang & Rong Zhang. (2022) A fast multilevel iteration method for solving linear ill-posed integral equations. Journal of Inverse and Ill-posed Problems 30:3, pages 409-423.
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Rong Zhang & Bing Zhou. (2022) Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space. Journal of Computational and Applied Mathematics 400, pages 113741.
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Subhashree Patel, Bijaya Laxmi Panigrahi & Gnaneshwar Nelakanti. 2022. Mathematics and Computing. Mathematics and Computing 655 668 .
Xiangling Chen & Ying Jiang. (2021) A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners. Journal of Integral Equations and Applications 33:2.
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Suhua Yang, Xingjun Luo, Chunmei Zeng, Zhihai Xu & Wenyu Hu. (2020) On the Parameter Choice in the Multilevel Augmentation Method. Computational Methods in Applied Mathematics 20:3, pages 555-571.
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Rong Zhang, Fanchun Li & Xingjun Luo. (2020) Multiscale Compression Algorithm for Solving Nonlinear Ill-Posed Integral Equations via Landweber Iteration. Mathematics 8:2, pages 221.
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O. Polishchuk. (2018) Finite element approximations in projection methods for solution of some Fredholm integral equation of the first kind. Mathematical Modeling and Computing 5:1, pages 74-87.
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Xingjun Luo, Zhaofu Ouyang, Chunmei Zeng & Fanchun Li. (2018) Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection. Journal of Inverse and Ill-posed Problems 26:1, pages 109-120.
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兴钧 罗. (2017) Multiscale Collocation Methods for Integral Equations. Advances in Applied Mathematics 06:04, pages 456-467.
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Bin Wu & Qinghui Zhang. (2016) Fast multiscale regularization methods for high-order numerical differentiation. IMA Journal of Numerical Analysis 36:3, pages 1432-1451.
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Xingjun Luo, Linxiu Fan, Yongchao Wu & Fanchun Li. (2014) Fast multi-level iteration methods with compression technique for solving ill-posed integral equations. Journal of Computational and Applied Mathematics 256, pages 131-151.
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Shengpei Ding & Hongqi Yang. (2013) Fast multiscale Galerkin methods for solving ill-posed integral equations via a coupled system under general source conditions. Journal of Mathematical Analysis and Applications 408:1, pages 213-224.
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Xingjun Luo, Fanchun Li & Suhua Yang. (2011) A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations. Advances in Computational Mathematics 36:2, pages 299-314.
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Xingjun Luo, Yujuan Li & Longyin Zhu. (2011) Fast Multiscale Methods for Solving Ill-Posed Problems via Discrete Dynamical Systems Method. Fast Multiscale Methods for Solving Ill-Posed Problems via Discrete Dynamical Systems Method.
Zhongying Chen, Sirui Cheng & Hongqi Yang. (2011) Fast multilevel augmentation methods with compression technique for solving ill-posed integral equations. Journal of Integral Equations and Applications 23:1.
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