Edit Profile (opens in new tab) Gao, Guanghua Co-Author Distance Author ID: gao.guanghua Published as: Gao, Guang-hua; Gao, Guang-Hua; Gao, Guanghua more...less Documents Indexed: 39 Publications since 2009, including 2 Books Co-Authors: 24 Co-Authors with 37 Joint Publications 1,297 Co-Co-Authors all top 5 Co-Authors 0 single-authored 23 Sun, Zhizhong 6 Wang, Tongke 4 Sun, Haiwei 2 Sun, Hong 2 Yang, Qian 2 Zhang, Qifeng 1 Abubakar, Aria 1 Alikhanov, Anatoliĭ Alievich 1 Cao, Haiyan 1 Du, Rui 1 Ge, Biao 1 Habashy, Tarek M. 1 Huang, Yu 1 Li, Na 1 Li, Yuyu 1 Liu, Jian Guo 1 Liu, Rui 1 Liu, Zhifang 1 Lu, Xuan-ru 1 Ren, Jincheng 1 Tang, Rui 1 Wang, Faxing 1 Wang, Yuxuan 1 Yan, Tong 1 Zhang, Hongwei 1 Zhang, Yanan 1 Zheng, Ying all top 5 Serials 7 Journal of Computational Physics 5 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 3 International Journal of Computer Mathematics 2 Numerical Algorithms 2 Numerical Mathematics: Theory, Methods and Applications 2 East Asian Journal on Applied Mathematics 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Applied Mathematics Letters 1 Journal of Nanjing Normal University. Natural Science Edition 1 Journal of Shandong University. Natural Science 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Communications in Computational Physics 1 De Gruyter Series in Applied and Numerical Mathematics all top 5 Fields 34 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 1,158 times in 845 Documents Cited by ▼ Year ▼ A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088 Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei 262 2014 A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112 Gao, Guanghua; Sun, Zhizhong 245 2011 Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295 Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong 72 2015 Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296 Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong 66 2015 A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. Zbl 1242.65160 Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan 66 2012 The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064 Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong 65 2017 Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055 Gao, Guang-hua; Sun, Zhi-zhong 48 2016 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 48 2016 Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329 Sun, Hong; Sun, Zhizhong; Gao, Guanghua 36 2016 Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Zbl 1443.65124 Gao, Guang-hua; Sun, Zhi-zhong 35 2015 The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. Zbl 1286.35251 Gao, Guang-Hua; Sun, Zhi-Zhong 28 2013 Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. Zbl 1339.65115 Gao, Guang-Hua; Sun, Zhi-Zhong 23 2016 Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. Zbl 1349.65294 Gao, Guang-Hua; Sun, Hai-Wei 22 2015 Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152 Gao, Guang-Hua; Sun, Zhi-Zhong 22 2013 Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. Zbl 1372.65230 Gao, Guang-hua; Sun, Zhi-zhong 18 2016 Fractional differential equations. Finite difference methods. Zbl 1440.65003 Sun, Zhi-zhong; Gao, Guang-hua 16 2020 Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229 Gao, Guang-hua; Sun, Zhi-zhong 15 2017 Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations. Zbl 1388.65052 Gao, Guang-Hua; Sun, Hai-Wei 13 2015 Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation. Zbl 1322.65087 Ren, Jincheng; Gao, Guang-hua 9 2015 Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations. Zbl 1197.65171 Gao, Guanghua; Wang, Tongke 9 2010 The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities. Zbl 1317.65066 Wang, Tongke; Li, Na; Gao, Guanghua 8 2015 A local fractional Taylor expansion and its computation for insufficiently smooth functions. Zbl 1490.65002 Liu, Zhifang; Wang, Tongke; Gao, Guanghua 6 2015 A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071 Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua 6 2014 Fast evaluation of linear combinations of Caputo fractional derivatives and its applications to multi-term time-fractional sub-diffusion equations. Zbl 1463.65221 Gao, Guanghua; Yang, Qian 5 2020 A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space. Zbl 1254.65014 Gao, Guang-hua; Sun, Zhi-zhong 4 2012 A compact difference scheme for fourth-order temporal multi-term fractional wave equations and maximum error estimates. Zbl 1462.65104 Gao, Guang-Hua; Liu, Rui 4 2019 Joint inversion approaches for geophysical electromagnetic and elastic full-waveform data. Zbl 1239.86009 Abubakar, A.; Gao, G.; Habashy, T. M.; Liu, J. 3 2012 A compact finite difference scheme for the fourth-order time multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1471.65100 Gao, Guang-Hua; Tang, Rui; Yang, Qian 3 2021 The energy method for high-order invariants in shallow water wave equations. Zbl 07708802 Zhang, Qifeng; Yan, Tong; Gao, Guang-hua 2 2023 Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 07779717 Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong 1 2023 Finite difference methods for nonlinear evolution equations. Zbl 07658424 Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua 1 2023 Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces. Zbl 1488.42114 Zhao, G.; Gao, G.; Guo, W. 1 2021 The energy method for high-order invariants in shallow water wave equations. Zbl 07708802 Zhang, Qifeng; Yan, Tong; Gao, Guang-hua 2 2023 Finite difference schemes for the fourth-order parabolic equations with different boundary value conditions. Zbl 07779717 Lu, Xuan-ru; Gao, Guang-Hua; Sun, Zhi-Zhong 1 2023 Finite difference methods for nonlinear evolution equations. Zbl 07658424 Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua 1 2023 A compact finite difference scheme for the fourth-order time multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions. Zbl 1471.65100 Gao, Guang-Hua; Tang, Rui; Yang, Qian 3 2021 Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces. Zbl 1488.42114 Zhao, G.; Gao, G.; Guo, W. 1 2021 Fractional differential equations. Finite difference methods. Zbl 1440.65003 Sun, Zhi-zhong; Gao, Guang-hua 16 2020 Fast evaluation of linear combinations of Caputo fractional derivatives and its applications to multi-term time-fractional sub-diffusion equations. Zbl 1463.65221 Gao, Guanghua; Yang, Qian 5 2020 A compact difference scheme for fourth-order temporal multi-term fractional wave equations and maximum error estimates. Zbl 1462.65104 Gao, Guang-Hua; Liu, Rui 4 2019 The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations. Zbl 1381.65064 Gao, Guang-hua; Alikhanov, Anatoly A.; Sun, Zhi-zhong 65 2017 Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations. Zbl 1372.65229 Gao, Guang-hua; Sun, Zhi-zhong 15 2017 Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations. Zbl 1373.65055 Gao, Guang-hua; Sun, Zhi-zhong 48 2016 Some temporal second order difference schemes for fractional wave equations. Zbl 1352.65269 Sun, Hong; Sun, Zhi-Zhong; Gao, Guang-Hua 48 2016 Some high order difference schemes for the space and time fractional Bloch-Torrey equations. Zbl 1410.65329 Sun, Hong; Sun, Zhizhong; Gao, Guanghua 36 2016 Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations. Zbl 1339.65115 Gao, Guang-Hua; Sun, Zhi-Zhong 23 2016 Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. Zbl 1372.65230 Gao, Guang-hua; Sun, Zhi-zhong 18 2016 Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence. Zbl 1349.65295 Gao, Guang-Hua; Sun, Hai-Wei; Sun, Zhi-Zhong 72 2015 Some high-order difference schemes for the distributed-order differential equations. Zbl 1349.65296 Gao, Guang-hua; Sun, Hai-wei; Sun, Zhi-zhong 66 2015 Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations. Zbl 1443.65124 Gao, Guang-hua; Sun, Zhi-zhong 35 2015 Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions. Zbl 1349.65294 Gao, Guang-Hua; Sun, Hai-Wei 22 2015 Three-point combined compact alternating direction implicit difference schemes for two-dimensional time-fractional advection-diffusion equations. Zbl 1388.65052 Gao, Guang-Hua; Sun, Hai-Wei 13 2015 Efficient and stable numerical methods for the two-dimensional fractional Cattaneo equation. Zbl 1322.65087 Ren, Jincheng; Gao, Guang-hua 9 2015 The asymptotic expansion and extrapolation of trapezoidal rule for integrals with fractional order singularities. Zbl 1317.65066 Wang, Tongke; Li, Na; Gao, Guanghua 8 2015 A local fractional Taylor expansion and its computation for insufficiently smooth functions. Zbl 1490.65002 Liu, Zhifang; Wang, Tongke; Gao, Guanghua 6 2015 A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications. Zbl 1349.65088 Gao, Guang-hua; Sun, Zhi-zhong; Zhang, Hong-wei 262 2014 A three-level linearized finite difference scheme for the Camassa-Holm equation. Zbl 1290.65071 Cao, Hai-Yan; Sun, Zhi-Zhong; Gao, Guang-Hua 6 2014 The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain. Zbl 1286.35251 Gao, Guang-Hua; Sun, Zhi-Zhong 28 2013 Compact difference schemes for heat equation with Neumann boundary conditions. II. Zbl 1422.65152 Gao, Guang-Hua; Sun, Zhi-Zhong 22 2013 A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions. Zbl 1242.65160 Gao, Guang-Hua; Sun, Zhi-Zhong; Zhang, Ya-Nan 66 2012 A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space. Zbl 1254.65014 Gao, Guang-hua; Sun, Zhi-zhong 4 2012 Joint inversion approaches for geophysical electromagnetic and elastic full-waveform data. Zbl 1239.86009 Abubakar, A.; Gao, G.; Habashy, T. M.; Liu, J. 3 2012 A compact finite difference scheme for the fractional sub-diffusion equations. Zbl 1211.65112 Gao, Guanghua; Sun, Zhizhong 245 2011 Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations. Zbl 1197.65171 Gao, Guanghua; Wang, Tongke 9 2010 all cited Publications top 5 cited Publications all top 5 Cited by 1,030 Authors 45 Sun, Zhizhong 32 Li, Hong 32 Liu, Yang 27 Liu, Fawang 20 Gao, Guanghua 19 Dehghan Takht Fooladi, Mehdi 19 Vong, Seakweng 19 Wang, Zhibo 17 Abbaszadeh, Mostafa 17 Xu, Da 16 Alikhanov, Anatoliĭ Alievich 16 Sun, Haiwei 15 Turner, Ian William 15 Wang, Yuanming 15 Yin, Baoli 14 Wang, Hong 13 Yan, Yubin 13 Zhang, Jiwei 12 Tang, Yifa 12 Zhang, Zhimin 12 Zhao, Yongliang 11 Li, Changpin 11 Liao, HongLin 10 Bu, Weiping 10 Ding, Hengfei 10 Gu, Xian-Ming 10 Li, Xiaoli 10 Wang, Tongke 9 Anh, Vo V. 9 Deng, Weihua 9 Feng, Libo 9 Wang, Jinfeng 9 Zhao, Yanmin 8 Cui, Mingrong 8 Huang, Chengming 8 Huang, Jianfei 8 Lei, Siulong 8 Li, Meng 8 Lu, Shujuan 8 Lyu, Pin 8 Mei, Liquan 8 Pan, Kejia 8 Ren, Lei 8 Wong, Patricia J. Y. 8 Xu, Chuanju 8 Yang, Xiaozhong 8 Zeng, Fanhai 8 Zhang, Luming 7 Cao, Wanrong 7 Jiang, Xiaoyun 7 Li, Dongfang 7 Qiao, Leijie 7 Roul, Pradip 7 Singh, Vineet Kumar 7 Sun, Hong 7 Xie, Xiaoping 7 Zhang, Qifeng 7 Zhang, Zhiyue 7 Zhou, Zhi 6 Chen, Yanping 6 Du, Ruilian 6 Guo, Shimin 6 Huang, Ting-Zhu 6 Karniadakis, George Em 6 Lapin, Aleksandr Vasil’evich 6 Li, Binjie 6 Li, Xuhao 6 Machado, José António Tenreiro 6 Mokhtari, Reza 6 Qiu, Wenlin 6 Rui, Hongxing 6 Yang, Xuehua 5 Aminikhah, Hossein 5 Arshad, Sadia 5 Cao, Jianxiong 5 Cao, Junying 5 Chen, Hu 5 Chen, Wenping 5 Cheng, Aijie 5 Dai, Weizhong 5 Fang, Zhichao 5 Fang, Zhiwei 5 Ford, Neville J. 5 He, Dongdong 5 He, Siriguleng 5 Hendy, Ahmed S. 5 Hou, Dianming 5 Huang, Yunqing 5 Jacobs, Byron A. 5 Javidi, Mohammad 5 Ji, Cuicui 5 Jin, Bangti 5 Luo, Hao 5 Macías-Díaz, Jorge Eduardo 5 Mustapha, Kassem 5 Ng, Michael Kwok-Po 5 Nie, Yufeng 5 Nikan, Omid 5 Pang, Hong-Kui 5 Ren, Jincheng ...and 930 more Authors all top 5 Cited in 122 Serials 63 Computers & Mathematics with Applications 52 Journal of Scientific Computing 48 Numerical Algorithms 47 Applied Numerical Mathematics 45 Journal of Computational Physics 45 Applied Mathematics and Computation 43 Journal of Computational and Applied Mathematics 42 International Journal of Computer Mathematics 31 Numerical Methods for Partial Differential Equations 27 Computational and Applied Mathematics 23 Mathematics and Computers in Simulation 21 Advances in Difference Equations 17 Communications in Nonlinear Science and Numerical Simulation 16 Mathematical Methods in the Applied Sciences 16 Fractional Calculus & Applied Analysis 15 Journal of Applied Mathematics and Computing 14 Applied Mathematics Letters 13 East Asian Journal on Applied Mathematics 12 SIAM Journal on Scientific Computing 10 SIAM Journal on Numerical Analysis 10 Applied Mathematical Modelling 10 Computational Methods in Applied Mathematics 10 Advances in Applied Mathematics and Mechanics 9 Journal of Applied Analysis and Computation 9 Communications on Applied Mathematics and Computation 7 Chaos, Solitons and Fractals 7 Calcolo 7 Nonlinear Dynamics 6 Engineering Analysis with Boundary Elements 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematical Problems in Engineering 5 Communications in Computational Physics 5 Numerical Mathematics: Theory, Methods and Applications 5 AIMS Mathematics 4 Mathematics of Computation 4 BIT 4 Lobachevskii Journal of Mathematics 4 International Journal of Applied and Computational Mathematics 4 Electronic Research Archive 3 Applicable Analysis 3 Computer Physics Communications 3 Journal of Mathematical Analysis and Applications 3 Advances in Computational Mathematics 3 Taiwanese Journal of Mathematics 3 Science China. Mathematics 3 Mathematical Sciences 3 Journal of Function Spaces 3 Computational Methods for Differential Equations 2 Physica A 2 Numerische Mathematik 2 Bulletin of the Iranian Mathematical Society 2 Journal of Computational Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Computational Methods 2 Mathematical Biosciences and Engineering 2 Boundary Value Problems 2 Waves in Random and Complex Media 2 Networks and Heterogeneous Media 2 Advances in Mathematical Physics 2 Journal of Mathematics 2 Iranian Journal of Numerical Analysis and Optimization 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Facta Universitatis. Series Mathematics and Informatics 1 SIAM Journal on Matrix Analysis and Applications 1 Applications of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Numerical Linear Algebra with Applications 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Complexity 1 Journal of Difference Equations and Applications 1 Arab Journal of Mathematical Sciences 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Journal of Mathematical Study 1 Computational Geosciences 1 Qualitative Theory of Dynamical Systems 1 Journal of Nonlinear Mathematical Physics 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Numerical Analysis and Modeling ...and 22 more Serials all top 5 Cited in 33 Fields 800 Numerical analysis (65-XX) 639 Partial differential equations (35-XX) 215 Real functions (26-XX) 70 Ordinary differential equations (34-XX) 50 Fluid mechanics (76-XX) 28 Integral equations (45-XX) 23 Approximations and expansions (41-XX) 18 Special functions (33-XX) 17 Probability theory and stochastic processes (60-XX) 16 Integral transforms, operational calculus (44-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 8 Mechanics of deformable solids (74-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Quantum theory (81-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Geophysics (86-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 2 Information and communication theory, circuits (94-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year