Guangqing Long

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 21

Top Topics

Numerical Solution

Boundary Value Problem

Differential Evolution

Particle Swarm Optimization

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

Comput. Appl. Math.

Numer. Algorithms

Publications

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 (2024)
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)
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) (2023)
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)
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) (2023)
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) (2021)
Guangqing Long, Rong Jie, Li-bin Liu
Multilevel augmentation methods for eigen-problems of compact integral operators. Numer. Algorithms 88 (3) (2021)
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) (2021)
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 (2020)
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) (2020)
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) (2020)
Hongsong Feng, Guangqing Long, Shan Zhao
An augmented matched interface and boundary (MIB) method for solving elliptic interface problem. J. Comput. Appl. Math. 361 (2019)
Payel Das, Gnaneshwar Nelakanti, Guangqing Long
Discrete Legendre spectral Galerkin method for Urysohn integral equations. Int. J. Comput. Math. 95 (3) (2018)
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 (2018)
Guangqing Long, Li-Bin Liu, Zaitang Huang
Numerical Solution of Singularly Perturbed Convection Delay Problems Using Self-adaptive Differential Evolution Algorithm. ICIC (3) (2018)
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) (2018)
Guangqing Long, Lifeng Xuan, Jianjun Chen
Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind. CIS (2017)
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) (2017)
Payel Das, Mitali Madhumita Sahani, Gnaneshwar Nelakanti, Guangqing Long
Legendre Spectral Projection Methods for Fredholm-Hammerstein Integral Equations. J. Sci. Comput. 68 (1) (2016)
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 (2016)
Payel Das, Gnaneshwar Nelakanti, Guangqing Long
Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations. J. Comput. Appl. Math. 278 (2015)
Guangqing Long, Weifen Wu, Gnaneshwar Nelakanti
Iterated fast multiscale Galerkin methods for eigen-problems of compact integral operators. Appl. Math. Comput. 246 (2014)
Guangqing Long, Weifen Wu, Gnaneshwar Nelakanti
A fast multiscale Kantorovich method for weakly singular integral equations. Numer. Algorithms 63 (1) (2013)
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 (2013)
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) (2013)
Zhongying Chen, Guangqing Long, Gnaneshwar Nelakanti, Yongdong Zhang
Iterated Fast Collocation Methods for Integral Equations of the Second Kind. J. Sci. Comput. 57 (3) (2013)
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) (2013)
Guangqing Long, Xiaoyuan Huang, Aimei Tan
A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators. CIS (2012)
Guangqing Long, Gnaneshwar Nelakanti
The multi-projection method for weakly singular Fredholm integral equations of the second kind. Int. J. Comput. Math. 87 (14) (2010)
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) (2010)
Guangqing Long, Gnaneshwar Nelakanti
Superconvergence of functional approximation methods for integral equations. Appl. Math. Lett. 22 (3) (2009)
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) (2009)
Xiaoyan Deng, Bangju Wang, Guangqing Long
The Picard contraction mapping method for the parameter inversion of reaction-diffusion systems. Comput. Math. Appl. 56 (9) (2008)
Guangqing Long, Gnaneshwar Nelakanti
Iteration methods for Fredholm integral equations of the second kind. Comput. Math. Appl. 53 (6) (2007)