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2020 – today
- 2024
[j31]Huanfeng Yang, Shan Zhao, Guangqing Long:
A MAC grid based FFT-AMIB solver for incompressible Stokes flows with interfaces and singular forces. J. Comput. Appl. Math. 450: 116019 (2024)- 2023
- [j30]Li-Bin Liu, Yige Liao, Guangqing Long:
A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation. Comput. Appl. Math. 42(1) (2023) - [j29]Yige Liao, Li-Bin Liu, Lei Xu, Guangqing Long:
Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh. Comput. Appl. Math. 42(3) (2023) - [j28]Chuan Li, Yiming Ren, Guangqing Long, Eric Boerman, Shan Zhao
:
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains. J. Sci. Comput. 95(2): 49 (2023) - [j27]Li-Bin Liu, Yige Liao, Guangqing Long:
Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation. Networks Heterog. Media 18(2): 547-561 (2023) - 2021
- [j26]Chuan Li, Guangqing Long, Yiquan Li, Shan Zhao:
Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients. Comput. 9(7): 79 (2021) - [j25]Hongsong Feng, Guangqing Long, Shan Zhao:
FFT-Based High Order Central Difference Schemes for Poisson's Equation with Staggered Boundaries. J. Sci. Comput. 86(1): 7 (2021) - [j24]Guangqing Long, Rong Jie, Li-bin Liu:
Multilevel augmentation methods for eigen-problems of compact integral operators. Numer. Algorithms 88(3): 1523-1540 (2021) - 2020
- [j23]Chuan Li, Zhihan Wei, Guangqing Long, Cameron Campbell, Stacy Ashlyn, Shan Zhao:
Alternating direction ghost-fluid methods for solving the heat equation with interfaces. Comput. Math. Appl. 80(5): 714-732 (2020) - [j22]Li-Bin Liu, Zhifang Liang, Guangqing Long, Ying Liang:
Convergence analysis of a finite difference scheme for a Riemann-Liouville fractional derivative two-point boundary value problem on an adaptive grid. J. Comput. Appl. Math. 375: 112809 (2020) - [j21]Li-Bin Liu, Guangqing Long, Zhongdi Cen:
A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition. Numer. Algorithms 83(2): 719-739 (2020)
2010 – 2019
- 2019
- [j20]Hongsong Feng, Guangqing Long, Shan Zhao:
An augmented matched interface and boundary (MIB) method for solving elliptic interface problem. J. Comput. Appl. Math. 361: 426-443 (2019) - 2018
- [j19]Payel Das, Gnaneshwar Nelakanti, Guangqing Long:
Discrete Legendre spectral Galerkin method for Urysohn integral equations. Int. J. Comput. Math. 95(3): 465-489 (2018) - [j18]Li-Bin Liu, Guangqing Long, Zaitang Huang, Aijia Ouyang:
Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer. J. Comput. Appl. Math. 335: 312-322 (2018) - [j17]Xu-Qiong Luo, Li-Bin Liu, Aijia Ouyang, Guangqing Long:
B-spline collocation and self-adapting differential evolution (jDE) algorithm for a singularly perturbed convection-diffusion problem. Soft Comput. 22(8): 2683-2693 (2018) - [c3]Guangqing Long, Li-Bin Liu, Zaitang Huang:
Numerical Solution of Singularly Perturbed Convection Delay Problems Using Self-adaptive Differential Evolution Algorithm. ICIC (3) 2018: 650-661 - 2017
- [j16]Li-Bin Liu, Guangqing Long, Aijia Ouyang, Zaitang Huang:
Numerical solution of a singularly perturbed problem with Robin boundary conditions using particle swarm optimization algorithm. J. Intell. Fuzzy Syst. 33(3): 1785-1795 (2017) - [c2]Guangqing Long, Lifeng Xuan, Jianjun Chen:
Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind. CIS 2017: 64-68 - 2016
- [j15]Payel Das, Gnaneshwar Nelakanti, Guangqing Long:
Erratum to: Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations [J. Comput. Appl. Math 278 (2015) 293-305]. J. Comput. Appl. Math. 292: 634-636 (2016) - [j14]Payel Das, Mitali Madhumita Sahani, Gnaneshwar Nelakanti, Guangqing Long:
Legendre Spectral Projection Methods for Fredholm-Hammerstein Integral Equations. J. Sci. Comput. 68(1): 213-230 (2016) - 2015
- [j13]Payel Das, Gnaneshwar Nelakanti, Guangqing Long:
Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations. J. Comput. Appl. Math. 278: 293-305 (2015) - 2014
- [j12]Guangqing Long, Weifen Wu, Gnaneshwar Nelakanti:
Iterated fast multiscale Galerkin methods for eigen-problems of compact integral operators. Appl. Math. Comput. 246: 638-647 (2014) - 2013
- [j11]Guangqing Long, Xiaoyuan Huang, Aimei Tan, Gnaneshwar Nelakanti:
Discrete product integration methods for eigen-problems of a class of non-compact integral operators. Appl. Math. Comput. 219(15): 7964-7972 (2013) - [j10]Suhua Yang, Xingjun Luo, Fanchun Li, Guangqing Long:
A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization. Appl. Math. Comput. 219(21): 10527-10537 (2013) - [j9]Bijaya Laxmi Panigrahi, Guangqing Long, Gnaneshwar Nelakanti:
Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator. J. Comput. Appl. Math. 239: 135-151 (2013) - [j8]Zhongying Chen, Guangqing Long, Gnaneshwar Nelakanti, Yongdong Zhang:
Iterated Fast Collocation Methods for Integral Equations of the Second Kind. J. Sci. Comput. 57(3): 502-517 (2013) - [j7]Guangqing Long, Weifen Wu, Gnaneshwar Nelakanti:
A fast multiscale Kantorovich method for weakly singular integral equations. Numer. Algorithms 63(1): 49-63 (2013) - 2012
- [c1]Guangqing Long, Xiaoyuan Huang, Aimei Tan:
A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators. CIS 2012: 378-381 - 2010
- [j6]Guangqing Long, Gnaneshwar Nelakanti, Bijaya Laxmi Panigrahi, Mitali Madhumita Sahani:
Discrete multi-projection methods for eigen-problems of compact integral operators. Appl. Math. Comput. 217(8): 3974-3984 (2010) - [j5]Guangqing Long, Gnaneshwar Nelakanti:
The multi-projection method for weakly singular Fredholm integral equations of the second kind. Int. J. Comput. Math. 87(14): 3254-3265 (2010)
2000 – 2009
- 2009
- [j4]Guangqing Long, Mitali Madhumita Sahani, Gnaneshwar Nelakanti:
Polynomially based multi-projection methods for Fredholm integral equations of the second kind. Appl. Math. Comput. 215(1): 147-155 (2009) - [j3]Guangqing Long, Gnaneshwar Nelakanti:
Superconvergence of functional approximation methods for integral equations. Appl. Math. Lett. 22(3): 401-405 (2009) - 2008
- [j2]Xiaoyan Deng, Bangju Wang, Guangqing Long:
The Picard contraction mapping method for the parameter inversion of reaction-diffusion systems. Comput. Math. Appl. 56(9): 2347-2355 (2008) - 2007
- [j1]Guangqing Long, Gnaneshwar Nelakanti:
Iteration methods for Fredholm integral equations of the second kind. Comput. Math. Appl. 53(6): 886-894 (2007)
Coauthor Index
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