Edit Profile (opens in new tab) Sheng, Changtao Co-Author Distance Author ID: sheng.changtao Published as: Sheng, Changtao; Sheng, Chang-Tao Documents Indexed: 20 Publications since 2011, including 1 Additional arXiv Preprint Co-Authors: 23 Co-Authors with 20 Joint Publications 735 Co-Co-Authors all top 5 Co-Authors 0 single-authored 8 Shen, Jie 5 Wang, Lilian 5 Wang, Zhongqing 2 Guo, Ben-Yu 2 Li, Huiyuan 2 Su, Bihao 2 Xu, Chenglong 2 Yuan, Huifang 1 Bao, Weizhu 1 Cao, Duo 1 Chen, Hongbin 1 Jia, Hongli 1 Jia, Lueling 1 Li, Dao 1 Liu, Hongyan 1 Ma, Suna 1 Ouyang, Yao 1 Qin, Lechang 1 Ruan, Xinran 1 Shi, Jiuliang 1 Tang, Tao 1 Yang, Xiu 1 Yang, Zhiguo all top 5 Serials 4 Journal of Scientific Computing 3 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 Numerical Mathematics: Theory, Methods and Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Applied Numerical Mathematics 1 Journal of Mathematical Study 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Scientia Sinica. Mathematica 1 East Asian Journal on Applied Mathematics all top 5 Fields 17 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 7 Real functions (26-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 3 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 201 times in 150 Documents Cited by ▼ Year ▼ A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246 Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 45 2014 An \(hp\)-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. Zbl 1332.65119 Wang, Zhong-Qing; Sheng, Chang-Tao 31 2016 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154 Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 28 2020 Generalized Jacobi spectral-Galerkin method for nonlinear Volterra integral equations with weakly singular kernels. Zbl 1349.65721 Shen, Jie; Sheng, Changtao; Wang, Zhongqing 22 2015 A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307 Sheng, Changtao; Shen, Jie 14 2017 An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551 Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 13 2016 An efficient space-time method for time fractional diffusion equation. Zbl 1466.65214 Shen, Jie; Sheng, Chang-Tao 12 2019 A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308 Sheng, Changtao; Shen, Jie 11 2018 Chebyshev’s inequality for Choquet-like integral. Zbl 1218.26027 Sheng, Changtao; Shi, Jiuliang; Ouyang, Yao 7 2011 Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. Zbl 1486.65209 Sheng, Changtao; Ma, Suna; Li, Huiyuan; Wang, Li-Lian; Jia, Lueling 4 2021 On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation. Zbl 1473.65207 Liu, Hongyan; Sheng, Changtao; Wang, Li-Lian; Yuan, Huifang 3 2021 A hybrid spectral element method for Volterra integral equations with weakly singular kernel. Zbl 1499.65770 Sheng, Changtao; Shen, Jie 3 2016 On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Zbl 1458.65099 Chen, Hongbin; Sheng, Changtao; Wang, Li-Lian 3 2021 A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays. Zbl 1478.65142 Wang, Zhong-Qing; Sheng, Chang-Tao; Jia, Hong-Li; Li, Dao 2 2018 Fundamental gaps of the fractional Schrödinger operator. Zbl 1429.35195 Bao, Weizhu; Ruan, Xinran; Shen, Jie; Sheng, Changtao 2 2019 Efficient spectral methods for PDEs with spectral fractional Laplacian. Zbl 1476.65320 Sheng, Changtao; Cao, Duo; Shen, Jie 1 2021 Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. Zbl 1486.65209 Sheng, Changtao; Ma, Suna; Li, Huiyuan; Wang, Li-Lian; Jia, Lueling 4 2021 On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation. Zbl 1473.65207 Liu, Hongyan; Sheng, Changtao; Wang, Li-Lian; Yuan, Huifang 3 2021 On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Zbl 1458.65099 Chen, Hongbin; Sheng, Changtao; Wang, Li-Lian 3 2021 Efficient spectral methods for PDEs with spectral fractional Laplacian. Zbl 1476.65320 Sheng, Changtao; Cao, Duo; Shen, Jie 1 2021 Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154 Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang 28 2020 An efficient space-time method for time fractional diffusion equation. Zbl 1466.65214 Shen, Jie; Sheng, Chang-Tao 12 2019 Fundamental gaps of the fractional Schrödinger operator. Zbl 1429.35195 Bao, Weizhu; Ruan, Xinran; Shen, Jie; Sheng, Changtao 2 2019 A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308 Sheng, Changtao; Shen, Jie 11 2018 A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays. Zbl 1478.65142 Wang, Zhong-Qing; Sheng, Chang-Tao; Jia, Hong-Li; Li, Dao 2 2018 A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307 Sheng, Changtao; Shen, Jie 14 2017 An \(hp\)-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. Zbl 1332.65119 Wang, Zhong-Qing; Sheng, Chang-Tao 31 2016 An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Zbl 1416.65551 Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 13 2016 A hybrid spectral element method for Volterra integral equations with weakly singular kernel. Zbl 1499.65770 Sheng, Changtao; Shen, Jie 3 2016 Generalized Jacobi spectral-Galerkin method for nonlinear Volterra integral equations with weakly singular kernels. Zbl 1349.65721 Shen, Jie; Sheng, Changtao; Wang, Zhongqing 22 2015 A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. Zbl 1305.65246 Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu 45 2014 Chebyshev’s inequality for Choquet-like integral. Zbl 1218.26027 Sheng, Changtao; Shi, Jiuliang; Ouyang, Yao 7 2011 all cited Publications top 5 cited Publications all top 5 Cited by 254 Authors 11 Wang, Zhongqing 9 Yi, Lijun 8 Guo, Yuling 8 Sheng, Changtao 7 Wang, Lilian 5 Cai, Haotao 5 Gu, Zhendong 5 Wang, Lina 4 Wang, Tianjun 4 Yang, Xuehua 4 Yuan, Huifang 4 Zaky, Mahmoud A. 4 Zhang, Haixiang 4 Zheng, Xiangcheng 3 Agahi, Hamzeh 3 Chen, Sheng 3 Chen, Yanping 3 Dehbozorgi, Raziyeh 3 Duan, Beiping 3 Hu, Dongdong 3 Huang, Chengming 3 Huang, Jin 3 Li, Hu 3 Li, Huiyuan 3 Ma, Zheng 3 Mesiar, Radko 3 Wang, Yushun 3 Zhang, Zhimin 3 Zhou, Zhi 2 Cai, Wenjun 2 Chou, Tom 2 Ding, Xiaohua 2 Fu, Taibai 2 Gu, Xian-Ming 2 Huang, Yunqing 2 Jang, Bongsoo 2 Jia, Hongli 2 Jiang, Ziwen 2 Kim, Hyunju 2 Li, Dongfang 2 Liu, Wen-Jie 2 Luo, Hao 2 Ma, Qiang 2 Maleknejad, Khosrow 2 Mao, Xinyu 2 Mohammadpour, Adel 2 Mokhtary, Payam 2 Nedaiasl, Khadijeh 2 Shang, Youlin 2 Shao, Sihong 2 Shen, Jie 2 Su, Bihao 2 Tang, Tao 2 Tao, Dongya 2 Wang, Chuan 2 Wang, Chuanli 2 Wang, Hong 2 Weng, Zhifeng 2 Xia, Mingtao 2 Xiang, Shuhuang 2 Xie, Xiaoping 2 Xu, Chenglong 2 Xu, Da 2 Yan, Rian 2 Yang, Yin 2 Yao, Guoqing 2 Zhang, Jiaqi 2 Zhang, Lei 2 Zhang, Li 2 Zhang, Mingzhu 2 Zhang, Pingwen 2 Zhao, Yongliang 2 Zheng, Zhoushun 2 Zhou, Tao 1 Abbasbandy, Saeid 1 Abo-Gabal, Howayda 1 Afonso, Suzete Maria 1 Alikhanov, Anatoliĭ Alievich 1 Almushaira, Mustafa 1 Ameen, Ibrahem G. 1 Ari, Murat 1 Azaïez, Mejdi 1 Azarnavid, Babak 1 Azevedo, Juarez S. 1 Bao, Weizhu 1 Bi, Yanan 1 Biranvand, Nader 1 Bo, Yonghui 1 Boĭchuk, Oleksandr Andriĭovych 1 Borthagaray, Juan Pablo 1 Caballero, Josefa 1 Camilli, Fabio 1 Cardone, Angelamaria 1 Chai, Guo 1 Chen, Lizhen 1 Chen, Xuejuan 1 Chen, Zhenrong 1 Conte, Dajana 1 da Silva, Mariana P. G. 1 Dai, Xuefei ...and 154 more Authors all top 5 Cited in 53 Serials 23 Journal of Scientific Computing 17 Applied Numerical Mathematics 8 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 Mathematics and Computers in Simulation 5 Advances in Computational Mathematics 5 Journal of Applied Mathematics and Computing 4 Journal of Computational Physics 4 Numerical Algorithms 4 International Journal of Computer Mathematics 3 Calcolo 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 3 Numerical Mathematics: Theory, Methods and Applications 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 BIT 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Difference Equations 2 East Asian Journal on Applied Mathematics 2 International Journal of Applied and Computational Mathematics 1 Lithuanian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Information Sciences 1 Studies in Applied Mathematics 1 Statistics & Probability Letters 1 Journal of Computational Mathematics 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Computational and Applied Mathematics 1 Monte Carlo Methods and Applications 1 Complexity 1 Nonlinear Dynamics 1 Soft Computing 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 TEMA. Tendências em Matemática Aplicada e Computacional 1 Acta Numerica 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 Azerbaijan Journal of Mathematics 1 Axioms 1 Journal of Dynamics and Games 1 Journal of Function Spaces 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics 1 Advances in Continuous and Discrete Models all top 5 Cited in 23 Fields 135 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 57 Integral equations (45-XX) 28 Real functions (26-XX) 18 Ordinary differential equations (34-XX) 18 Approximations and expansions (41-XX) 10 Special functions (33-XX) 8 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year