Edit Profile (opens in new tab) Tang, Yifa Co-Author Distance Author ID: tang.yifa Published as: Tang, Yifa; Tang, Yi-Fa; Tang, Y. F.; Tang, Y.-F.; Tang, Y-F.; Tang, YiFa more...less Documents Indexed: 112 Publications since 1993, including 11 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 105 Co-Authors with 99 Joint Publications 5,148 Co-Co-Authors all top 5 Co-Authors 11 single-authored 21 Huang, Jianfei 16 Zhao, Yanmin 13 Zhu, Aiqing 11 Bu, Weiping 11 Zhu, Beibei 10 Arshad, Sadia 10 Wang, Fenling 9 Zhang, Jingna 8 Zhao, Yue 7 Jin, Pengzhan 6 Aleroev, Temirkhan Sultanovich 6 Shi, Zhengguang 6 Yang, Jiye 6 Zhang, RuiLi 5 Xiao, Aiguo 4 Jiao, Yandong 4 Shi, Yanhua 4 Tu, XiongBiao 4 Wei, Yabing 3 Aleroeva, Hedi T. 3 Băleanu, Dumitru I. 3 Dai, Guidong 3 Ji, Lun 3 Karniadakis, George Em 3 Liu, Fawang 3 Liu, Jian 3 Nie, Ningming 3 Song, Songhe 3 Wu, Sidi 3 Zhang, Jiawei 3 Zhu, Huajun 2 Chen, Jingbo 2 Feng, Quandong 2 Fu, Jingli 2 Jiménez, Salvador 2 Kirane, Mokhtar 2 Liu, Qinghuo 2 Liu, Xiangtao 2 Lu, Benzhuo 2 Pérez-García, Víctor Manuel 2 Wu, Yingchuan 2 Xiao, Shanshan 1 Aleroev, Mukhamed 1 Anh, Vo V. 1 Barletti, Luigi 1 Bertalan, Tom S. 1 Brugnano, Luigi 1 Cao, Jianwen 1 Chen, Chen 1 Chen, Fang 1 Chen, Liqun 1 Chen, Mengyi 1 Chen, Pan 1 Chen, Yaming 1 Chen, Yao 1 Ding, Jiu 1 Fan, Huijun 1 Guan, Hua 1 Guo, Ling 1 He, Yang 1 Hu, Xiaohan 1 Huo, Zhenyang 1 Ji, Feng 1 Kalla, Shyam Lal 1 Kevrekidis, Ioannis George 1 Khaliq, Abdul Q. M. 1 Kovalchuk, Oleg Aleksandrovich 1 Li, Kuangying 1 Li, Meng 1 Lin, Chang 1 Liu, Dayan 1 Liu, Jingzhou 1 Liu, Ju 1 Liu, Na 1 Long, Yonghong 1 Lu, Lu 1 Lv, Jingyun 1 Mao, Zhiping 1 Maravall Casesnoves, Dario 1 Moreno Lorente, Luis Enrique 1 Murua, Ander 1 Qiao, Zhi 1 Qin, Mengzhao 1 Scherer, Rudolf 1 Sheng, Qin 1 Sun, Tao 1 Sun, Yajuan 1 Sun, Yuanchang 1 Tamm, Mikhail V. 1 Tang, Lingyan 1 Tobón, Luis E. 1 Turner, Ian William 1 Vázquez Martínez, Luis 1 Wade, Bruce A. 1 Wang, Desheng 1 Wang, Wenjia 1 Wang, Yulei 1 Wang, Yushun 1 Yang, Huimin 1 Yıldız, Tuu gba Akman ...and 5 more Co-Authors all top 5 Serials 18 Computers & Mathematics with Applications 8 Journal of Computational Mathematics 7 Journal of Computational Physics 6 Applied Mathematics and Computation 6 International Journal of Computer Mathematics 5 Communications in Computational Physics 4 Journal of Computational and Applied Mathematics 4 East Asian Journal on Applied Mathematics 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Journal of Physics A: Mathematical and Theoretical 2 Physics Letters. A 2 Mathematica Numerica Sinica 2 Neural Networks 2 Applied Mathematical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Science China. Mathematics 1 Computer Physics Communications 1 Mathematical Methods in the Applied Sciences 1 BIT 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Journal of Statistical Computation and Simulation 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Fractals 1 Memoirs on Differential Equations and Mathematical Physics 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Applied Mathematics and Mechanics all top 5 Fields 85 Numerical analysis (65-XX) 48 Partial differential equations (35-XX) 28 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 9 Real functions (26-XX) 9 Mechanics of particles and systems (70-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 1,090 times in 855 Documents Cited by ▼ Year ▼ Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. Zbl 1349.65441 Bu, Weiping; Tang, Yifa; Yang, Jiye 104 2014 Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103 Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye 91 2013 Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations. Zbl 1349.65440 Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye 89 2015 The Grünwald-Letnikov method for fractional differential equations. Zbl 1228.65121 Scherer, Rudolf; Kalla, Shyam L.; Tang, Yifa; Huang, Jianfei 81 2011 Finite element method for two-dimensional space-fractional advection-dispersion equations. Zbl 1339.65185 Zhao, Yanmin; Bu, Weiping; Huang, Jianfei; Liu, Da-Yan; Tang, Yifa 47 2015 Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation. Zbl 1050.65127 Chen, Jing-Bo; Qin, Meng-Zhao; Tang, Yi-Fa 45 2002 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124 Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 45 1996 Two mixed finite element methods for time-fractional diffusion equations. Zbl 1360.65245 Zhao, Yanmin; Chen, Pan; Bu, Weiping; Liu, Xiangtao; Tang, Yifa 45 2017 Symplectic wavelet collocation method for Hamiltonian wave equations. Zbl 1185.65194 Zhu, Huajun; Tang, Lingyan; Song, Songhe; Tang, Yifa; Wang, Desheng 37 2010 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159 Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 37 2017 The spread of disease with birth and death on networks. Zbl 1086.92047 Liu, Jingzhou; Tang, Yifa; Yang, Z. R. 30 2004 Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model. Zbl 1339.65170 Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye 28 2015 A second order finite difference-spectral method for space fractional diffusion equations. Zbl 1305.65185 Huang, Jianfei; Nie, Ningming; Tang, Yifa 28 2014 Sympnets: intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems. Zbl 1475.68316 Jin, Pengzhan; Zhang, Zhen; Zhu, Aiqing; Tang, Yifa; Karniadakis, George Em 27 2020 Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141 Huang, Jianfei; Tang, Yifa; Vázquez, Luis 25 2012 Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. Zbl 1217.65235 Zhu, Huajun; Song, Songhe; Tang, Yifa 23 2011 Numerical solution of fractional diffusion-wave equation based on fractional multistep method. Zbl 1427.65196 Yang, J. Y.; Huang, J. F.; Liang, D. M.; Tang, Y. F. 23 2014 Effects of HIV infection on CD4\(^{+}\) T-cell population based on a fractional-order model. Zbl 1422.92141 Arshad, Sadia; Baleanu, Dumitru; Bu, Weiping; Tang, Yifa 19 2017 Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation. Zbl 1380.65294 Zhao, Yue; Bu, Weiping; Zhao, Xuan; Tang, Yifa 17 2017 The symplecticity of multi-step methods. Zbl 0774.65053 Tang, Yifa 17 1993 Space-time finite element method for the distributed-order time fractional reaction diffusion equations. Zbl 1434.65177 Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie 14 2020 Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. Zbl 1380.65141 Arshad, Sadia; Huang, Jianfei; Khaliq, Abdul Q. M.; Tang, Yifa 13 2017 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115 Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 13 1997 Formal energy of a symplectic scheme for Hamiltonian systems and its applications. I. Zbl 0822.70012 Tang, Y.-F. 12 1994 A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Zbl 1459.65145 Huang, Jianfei; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 11 2021 Energy-preserving numerical methods for Landau-Lifshitz equation. Zbl 1237.70132 Chen, Yao; Sun, Yajuan; Tang, Yifa 10 2011 An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation. Zbl 1432.65129 Yang, J. Y.; Zhao, Y. M.; Liu, N.; Bu, W. P.; Xu, T. L.; Tang, Y. F. 10 2015 Boundary value problems for differential equations of fractional order. Zbl 1220.47061 Aleroev, T. S.; Aleroeva, H. T.; Nie, Ning-Ming; Tang, Yi-Fa 10 2010 Solving spatial-fractional partial differential diffusion equations by spectral method. Zbl 1453.65460 Nie, Ningming; Huang, Jianfei; Wang, Wenjia; Tang, Yifa 10 2014 High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. Zbl 1397.65191 Shi, Z. G.; Zhao, Y. M.; Liu, F.; Tang, Y. F.; Wang, F. L.; Shi, Y. H. 10 2017 Boundary-value problems for differential equations of fractional order. Zbl 1286.34006 Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa 10 2013 Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. Zbl 1427.65260 Shi, Z. G.; Zhao, Y. M.; Liu, F.; Wang, F. L.; Tang, Y. F. 9 2018 Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrödinger equation. Zbl 1113.81047 Tang, Yifa; Cao, Jianwen; Liu, Xiangtao; Sun, Yuanchang 8 2007 Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations. Zbl 1449.65181 Huang, Jianfei; Zhao, Yue; Arshad, Sadia; Li, Kuangying; Tang, Yifa 8 2019 Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems. Zbl 1142.70318 Fu, Jing-Li; Chen, Li-Qun; Jiménez, Salvador; Tang, Yi-Fa 7 2006 Deep Hamiltonian neural networks based on symplectic integrators. Zbl 1463.68071 Zhu, Aiqing; Jin, Pengzhan; Tang, Yifa 7 2020 Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain. Zbl 1442.65286 Zhao, Yanmin; Wang, Fenling; Hu, Xiaohan; Shi, Zhengguang; Tang, Yifa 7 2019 A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient. Zbl 1442.65281 Wang, Fenling; Zhao, Yanmin; Chen, Chen; Wei, Yabing; Tang, Yifa 6 2019 Convolution quadrature methods for time-space fractional nonlinear diffusion-wave equations. Zbl 1468.65097 Huang, Jianfei; Arshad, Sadia; Jiao, Yandong; Tang, Yifa 6 2019 High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. Zbl 1390.65151 Zhang, Y. D.; Zhao, Y. M.; Wang, F. L.; Tang, Y. F. 5 2018 Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness. Zbl 1475.68315 Jin, Pengzhan; Lu, Lu; Tang, Yifa; Karniadakis, George Em 5 2020 Finite difference method for time-space linear and nonlinear fractional diffusion equations. Zbl 1387.65080 Arshad, Sadia; Bu, Weiping; Huang, Jianfei; Tang, Yifa; Zhao, Yue 4 2018 Symplectic computation of Hamiltonian systems. I. Zbl 1024.65122 Tang, Yifa 4 2002 Superconvergence analysis of anisotropic FEMs for time fractional variable coefficient diffusion equations. Zbl 1451.65154 Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa; Yang, Jiye 4 2020 Boundary value problems of fractional Fokker-Planck equations. Zbl 1409.35209 Aleroev, Temirkhan S.; Aleroeva, Hedi T.; Huang, Jianfei; Tamm, Mikhail V.; Tang, Yifa; Zhao, Yue 4 2017 Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations. Zbl 1404.65126 Wei, Ya-Bing; Zhao, Yan-Min; Shi, Zheng-Guang; Wang, Fen-Ling; Tang, Yi-Fa 4 2018 The necessary condition for a Runge-Kutta scheme to be symplectic for Hamiltonian systems. Zbl 0777.65047 Tang, Y.-F. 3 1993 Splitting K-symplectic methods for non-canonical separable Hamiltonian problems. Zbl 1352.65649 Zhu, Beibei; Zhang, Ruili; Tang, Yifa; Tu, Xiongbiao; Zhao, Yue 3 2016 Mixed spectral element method for 2D Maxwell’s eigenvalue problem. Zbl 1373.78443 Liu, Na; Tobón, Luis; Tang, Yifa; Liu, Qing Huo 3 2015 Explicit symplectic methods for the nonlinear Schrödinger equation. Zbl 1364.65282 Guan, Hua; Jiao, Yandong; Liu, Ju; Tang, Yifa 3 2009 Unit triangular factorization of the matrix symplectic group. Zbl 1456.15013 Jin, Pengzhan; Tang, Yifa; Zhu, Aiqing 3 2020 A superconvergent nonconforming mixed FEM for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficients. Zbl 1468.65140 Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Tang, Yifa 3 2021 Spectrally accurate space-time solution of Manakov systems. Zbl 1439.65220 Barletti, Luigi; Brugnano, Luigi; Tang, Yifa; Zhu, Beibei 3 2020 Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient. Zbl 1480.65345 Shi, Y. H.; Zhao, Y. M.; Wang, F. L.; Tang, Y. F. 3 2020 Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. Zbl 1509.65145 Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo 3 2023 Numerical schemes for time-space fractional vibration equations. Zbl 1488.65315 Zhang, Jingna; Aleroev, Temirkhan S.; Tang, Yifa; Huang, Jianfei 3 2021 A note on construction of higher-order symplectic schemes from lower-order one via formal energies. Zbl 0952.65103 Tang, Yifa 2 1999 Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396 Xiao, Aiguo; Tang, Yifa 2 2004 Geodesic flows on compact surfaces – as an application of Hamiltonian formalism. Zbl 0783.58060 Tang, Y.-F. 2 1993 Application of Lie algebra in constructing volume-preserving algorithms for charged particles dynamics. Zbl 1373.70017 Zhang, Ruili; Liu, Jian; Qin, Hong; Tang, Yifa; He, Yang; Wang, Yulei 2 2016 Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems. Zbl 1350.65138 Zhang, RuiLi; Tang, YiFa; Zhu, BeiBei; Tu, XiongBiao; Zhao, Yue 2 2016 Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative. Zbl 1475.65072 Huang, Jianfei; Qiao, Zhi; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 2 2021 On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order. Zbl 1410.34009 Aleroev, M.; Aleroev, T.; Kirane, M.; Tang, Y-F. 2 2015 A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations. Zbl 1480.65229 Zhang, Jingna; Huang, Jianfei; Aleroev, Temirkhan S.; Tang, Yifa 2 2021 Energy-preserving algorithm for gyrocenter dynamics of charged particles. Zbl 1436.65209 Zhang, Ruili; Liu, Jian; Qin, Hong; Tang, Yifa 2 2019 Non-conservativity of traditional schemes for Liouville and contact systems. Zbl 0777.65040 Tang, Yifa 1 1993 Conjugate symplecticity of second-order linear multi-step methods. Zbl 1124.65060 Feng, Quan-Dong; Jiao, Yan-Dong; Tang, Yi-Fa 1 2007 On conjugate symplecticity of multi-step methods. Zbl 0971.65115 Tang, Yifa 1 2000 Symplectic and multi-symplectic schemes for the two-dimensional nonlinear Schrödinger equation. Zbl 1240.65369 Zhu, Huajun; Chen, Yaming; Song, Songhe; Tang, Yifa 1 2010 Preface: Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. Zbl 1398.00078 1 2018 Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080 Xiao, Ai-Guo; Tang, Yi-Fa 1 2001 A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\). Zbl 1019.65098 Tang, Yifa 1 2002 Expansion of step-transition operator of multi-step method and its applications. I. Zbl 1003.65089 Tang, Yifa 1 2002 Symplectic discretization for spectral element solution of Maxwell’s equations. Zbl 1179.78111 Zhao, Yanmin; Dai, Guidong; Tang, Yifa; Liu, Qinghuo 1 2009 Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111 Xiao, Ai-Guo; Tang, Yi-Fa 1 2002 Is the formal energy of the mid-point rule convergent? Zbl 1050.65128 Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo 1 2002 A note on symplecticity of step-transition mappings for multi-step methods. Zbl 1112.65127 Dai, Gui-Dong; Tang, Yi-Fa 1 2006 Formal energy of symplectic scheme for Hamiltonian systems and its applications. II. Zbl 0803.70010 Tang, Yifa; Long, Yonghong 1 1994 Non-existence of conjugate-symplectic multi-step methods of odd order. Zbl 1150.65018 Jiao, Yandong; Dai, Guidong; Feng, Quandong; Tang, Yifa 1 2007 Expansion of step-transition operator of multi-step method and its applications. II. Zbl 1018.65097 Tang, Yifa 1 2002 A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity. Zbl 07776174 Huang, Jianfei; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 1 2021 A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition. Zbl 07525181 Zhao, Yue; Mao, Zhiping; Guo, Ling; Tang, Yifa; Karniadakis, George Em 1 2022 A fourth order finite difference method for time-space fractional diffusion equations. Zbl 1468.65092 Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Tang, Yifa; Zhao, Yue 1 2018 The role of obesity in fractional order tumor-immune model. Zbl 1513.34171 Arshad, Sadia; Yıldız, Tuu gba Akman; Baleanu, Dumitru; Tang, Yifa 1 2020 A fast Euler-Maruyama method for fractional stochastic differential equations. Zbl 07676659 Zhang, Jingna; Tang, Yifa; Huang, Jianfei 1 2023 Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. Zbl 1517.65093 Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa 1 2023 Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. Zbl 1509.65145 Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo 3 2023 A fast Euler-Maruyama method for fractional stochastic differential equations. Zbl 07676659 Zhang, Jingna; Tang, Yifa; Huang, Jianfei 1 2023 Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation. Zbl 1517.65093 Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa 1 2023 A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition. Zbl 07525181 Zhao, Yue; Mao, Zhiping; Guo, Ling; Tang, Yifa; Karniadakis, George Em 1 2022 A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. Zbl 1459.65145 Huang, Jianfei; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 11 2021 A superconvergent nonconforming mixed FEM for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficients. Zbl 1468.65140 Fan, Huijun; Zhao, Yanmin; Wang, Fenling; Shi, Yanhua; Tang, Yifa 3 2021 Numerical schemes for time-space fractional vibration equations. Zbl 1488.65315 Zhang, Jingna; Aleroev, Temirkhan S.; Tang, Yifa; Huang, Jianfei 3 2021 Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative. Zbl 1475.65072 Huang, Jianfei; Qiao, Zhi; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 2 2021 A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations. Zbl 1480.65229 Zhang, Jingna; Huang, Jianfei; Aleroev, Temirkhan S.; Tang, Yifa 2 2021 A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity. Zbl 07776174 Huang, Jianfei; Zhang, Jingna; Arshad, Sadia; Tang, Yifa 1 2021 Sympnets: intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems. Zbl 1475.68316 Jin, Pengzhan; Zhang, Zhen; Zhu, Aiqing; Tang, Yifa; Karniadakis, George Em 27 2020 Space-time finite element method for the distributed-order time fractional reaction diffusion equations. Zbl 1434.65177 Bu, Weiping; Ji, Lun; Tang, Yifa; Zhou, Jie 14 2020 Deep Hamiltonian neural networks based on symplectic integrators. Zbl 1463.68071 Zhu, Aiqing; Jin, Pengzhan; Tang, Yifa 7 2020 Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness. Zbl 1475.68315 Jin, Pengzhan; Lu, Lu; Tang, Yifa; Karniadakis, George Em 5 2020 Superconvergence analysis of anisotropic FEMs for time fractional variable coefficient diffusion equations. Zbl 1451.65154 Wei, Yabing; Zhao, Yanmin; Wang, Fenling; Tang, Yifa; Yang, Jiye 4 2020 Unit triangular factorization of the matrix symplectic group. Zbl 1456.15013 Jin, Pengzhan; Tang, Yifa; Zhu, Aiqing 3 2020 Spectrally accurate space-time solution of Manakov systems. Zbl 1439.65220 Barletti, Luigi; Brugnano, Luigi; Tang, Yifa; Zhu, Beibei 3 2020 Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient. Zbl 1480.65345 Shi, Y. H.; Zhao, Y. M.; Wang, F. L.; Tang, Y. F. 3 2020 The role of obesity in fractional order tumor-immune model. Zbl 1513.34171 Arshad, Sadia; Yıldız, Tuu gba Akman; Baleanu, Dumitru; Tang, Yifa 1 2020 Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations. Zbl 1449.65181 Huang, Jianfei; Zhao, Yue; Arshad, Sadia; Li, Kuangying; Tang, Yifa 8 2019 Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain. Zbl 1442.65286 Zhao, Yanmin; Wang, Fenling; Hu, Xiaohan; Shi, Zhengguang; Tang, Yifa 7 2019 A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient. Zbl 1442.65281 Wang, Fenling; Zhao, Yanmin; Chen, Chen; Wei, Yabing; Tang, Yifa 6 2019 Convolution quadrature methods for time-space fractional nonlinear diffusion-wave equations. Zbl 1468.65097 Huang, Jianfei; Arshad, Sadia; Jiao, Yandong; Tang, Yifa 6 2019 Energy-preserving algorithm for gyrocenter dynamics of charged particles. Zbl 1436.65209 Zhang, Ruili; Liu, Jian; Qin, Hong; Tang, Yifa 2 2019 Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes. Zbl 1427.65260 Shi, Z. G.; Zhao, Y. M.; Liu, F.; Wang, F. L.; Tang, Y. F. 9 2018 High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. Zbl 1390.65151 Zhang, Y. D.; Zhao, Y. M.; Wang, F. L.; Tang, Y. F. 5 2018 Finite difference method for time-space linear and nonlinear fractional diffusion equations. Zbl 1387.65080 Arshad, Sadia; Bu, Weiping; Huang, Jianfei; Tang, Yifa; Zhao, Yue 4 2018 Spatial high accuracy analysis of FEM for two-dimensional multi-term time-fractional diffusion-wave equations. Zbl 1404.65126 Wei, Ya-Bing; Zhao, Yan-Min; Shi, Zheng-Guang; Wang, Fen-Ling; Tang, Yi-Fa 4 2018 Preface: Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. Zbl 1398.00078 1 2018 A fourth order finite difference method for time-space fractional diffusion equations. Zbl 1468.65092 Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Tang, Yifa; Zhao, Yue 1 2018 Two mixed finite element methods for time-fractional diffusion equations. Zbl 1360.65245 Zhao, Yanmin; Chen, Pan; Bu, Weiping; Liu, Xiangtao; Tang, Yifa 45 2017 Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations. Zbl 1412.65159 Zhao, Yanmin; Zhang, Yadong; Liu, F.; Turner, I.; Tang, Yifa; Anh, V. 37 2017 Effects of HIV infection on CD4\(^{+}\) T-cell population based on a fractional-order model. Zbl 1422.92141 Arshad, Sadia; Baleanu, Dumitru; Bu, Weiping; Tang, Yifa 19 2017 Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation. Zbl 1380.65294 Zhao, Yue; Bu, Weiping; Zhao, Xuan; Tang, Yifa 17 2017 Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. Zbl 1380.65141 Arshad, Sadia; Huang, Jianfei; Khaliq, Abdul Q. M.; Tang, Yifa 13 2017 High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations. Zbl 1397.65191 Shi, Z. G.; Zhao, Y. M.; Liu, F.; Tang, Y. F.; Wang, F. L.; Shi, Y. H. 10 2017 Boundary value problems of fractional Fokker-Planck equations. Zbl 1409.35209 Aleroev, Temirkhan S.; Aleroeva, Hedi T.; Huang, Jianfei; Tamm, Mikhail V.; Tang, Yifa; Zhao, Yue 4 2017 Splitting K-symplectic methods for non-canonical separable Hamiltonian problems. Zbl 1352.65649 Zhu, Beibei; Zhang, Ruili; Tang, Yifa; Tu, Xiongbiao; Zhao, Yue 3 2016 Application of Lie algebra in constructing volume-preserving algorithms for charged particles dynamics. Zbl 1373.70017 Zhang, Ruili; Liu, Jian; Qin, Hong; Tang, Yifa; He, Yang; Wang, Yulei 2 2016 Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems. Zbl 1350.65138 Zhang, RuiLi; Tang, YiFa; Zhu, BeiBei; Tu, XiongBiao; Zhao, Yue 2 2016 Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations. Zbl 1349.65440 Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye 89 2015 Finite element method for two-dimensional space-fractional advection-dispersion equations. Zbl 1339.65185 Zhao, Yanmin; Bu, Weiping; Huang, Jianfei; Liu, Da-Yan; Tang, Yifa 47 2015 Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model. Zbl 1339.65170 Bu, Weiping; Tang, Yifa; Wu, Yingchuan; Yang, Jiye 28 2015 An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation. Zbl 1432.65129 Yang, J. Y.; Zhao, Y. M.; Liu, N.; Bu, W. P.; Xu, T. L.; Tang, Y. F. 10 2015 Mixed spectral element method for 2D Maxwell’s eigenvalue problem. Zbl 1373.78443 Liu, Na; Tobón, Luis; Tang, Yifa; Liu, Qing Huo 3 2015 On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order. Zbl 1410.34009 Aleroev, M.; Aleroev, T.; Kirane, M.; Tang, Y-F. 2 2015 Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. Zbl 1349.65441 Bu, Weiping; Tang, Yifa; Yang, Jiye 104 2014 A second order finite difference-spectral method for space fractional diffusion equations. Zbl 1305.65185 Huang, Jianfei; Nie, Ningming; Tang, Yifa 28 2014 Numerical solution of fractional diffusion-wave equation based on fractional multistep method. Zbl 1427.65196 Yang, J. Y.; Huang, J. F.; Liang, D. M.; Tang, Y. F. 23 2014 Solving spatial-fractional partial differential diffusion equations by spectral method. Zbl 1453.65460 Nie, Ningming; Huang, Jianfei; Wang, Wenjia; Tang, Yifa 10 2014 Two finite difference schemes for time fractional diffusion-wave equation. Zbl 1284.65103 Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye 91 2013 Boundary-value problems for differential equations of fractional order. Zbl 1286.34006 Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa 10 2013 Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141 Huang, Jianfei; Tang, Yifa; Vázquez, Luis 25 2012 The Grünwald-Letnikov method for fractional differential equations. Zbl 1228.65121 Scherer, Rudolf; Kalla, Shyam L.; Tang, Yifa; Huang, Jianfei 81 2011 Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. Zbl 1217.65235 Zhu, Huajun; Song, Songhe; Tang, Yifa 23 2011 Energy-preserving numerical methods for Landau-Lifshitz equation. Zbl 1237.70132 Chen, Yao; Sun, Yajuan; Tang, Yifa 10 2011 Symplectic wavelet collocation method for Hamiltonian wave equations. Zbl 1185.65194 Zhu, Huajun; Tang, Lingyan; Song, Songhe; Tang, Yifa; Wang, Desheng 37 2010 Boundary value problems for differential equations of fractional order. Zbl 1220.47061 Aleroev, T. S.; Aleroeva, H. T.; Nie, Ning-Ming; Tang, Yi-Fa 10 2010 Symplectic and multi-symplectic schemes for the two-dimensional nonlinear Schrödinger equation. Zbl 1240.65369 Zhu, Huajun; Chen, Yaming; Song, Songhe; Tang, Yifa 1 2010 Explicit symplectic methods for the nonlinear Schrödinger equation. Zbl 1364.65282 Guan, Hua; Jiao, Yandong; Liu, Ju; Tang, Yifa 3 2009 Symplectic discretization for spectral element solution of Maxwell’s equations. Zbl 1179.78111 Zhao, Yanmin; Dai, Guidong; Tang, Yifa; Liu, Qinghuo 1 2009 Symplectic methods for the Ablowitz-Ladik discrete nonlinear Schrödinger equation. Zbl 1113.81047 Tang, Yifa; Cao, Jianwen; Liu, Xiangtao; Sun, Yuanchang 8 2007 Conjugate symplecticity of second-order linear multi-step methods. Zbl 1124.65060 Feng, Quan-Dong; Jiao, Yan-Dong; Tang, Yi-Fa 1 2007 Non-existence of conjugate-symplectic multi-step methods of odd order. Zbl 1150.65018 Jiao, Yandong; Dai, Guidong; Feng, Quandong; Tang, Yifa 1 2007 Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems. Zbl 1142.70318 Fu, Jing-Li; Chen, Li-Qun; Jiménez, Salvador; Tang, Yi-Fa 7 2006 A note on symplecticity of step-transition mappings for multi-step methods. Zbl 1112.65127 Dai, Gui-Dong; Tang, Yi-Fa 1 2006 The spread of disease with birth and death on networks. Zbl 1086.92047 Liu, Jingzhou; Tang, Yifa; Yang, Z. R. 30 2004 Order properties of symplectic Runge-Kutta-Nyström methods. Zbl 1155.65396 Xiao, Aiguo; Tang, Yifa 2 2004 Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation. Zbl 1050.65127 Chen, Jing-Bo; Qin, Meng-Zhao; Tang, Yi-Fa 45 2002 Symplectic computation of Hamiltonian systems. I. Zbl 1024.65122 Tang, Yifa 4 2002 A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\). Zbl 1019.65098 Tang, Yifa 1 2002 Expansion of step-transition operator of multi-step method and its applications. I. Zbl 1003.65089 Tang, Yifa 1 2002 Symplectic properties of multistep Runge-Kutta methods. Zbl 1036.65111 Xiao, Ai-Guo; Tang, Yi-Fa 1 2002 Is the formal energy of the mid-point rule convergent? Zbl 1050.65128 Tang, Yi-Fa; Xiao, Ai-Guo; Chen, Jing-Bo 1 2002 Expansion of step-transition operator of multi-step method and its applications. II. Zbl 1018.65097 Tang, Yifa 1 2002 Regularity properties of one-leg methods for delay differential equations. Zbl 0989.65080 Xiao, Ai-Guo; Tang, Yi-Fa 1 2001 On conjugate symplecticity of multi-step methods. Zbl 0971.65115 Tang, Yifa 1 2000 A note on construction of higher-order symplectic schemes from lower-order one via formal energies. Zbl 0952.65103 Tang, Yifa 2 1999 Symplectic methods for the Ablowitz-Ladik model. Zbl 0870.65115 Tang, Yi-Fa; Pérez-García, Víctor M.; Vázquez, Luis 13 1997 Symplectic methods for the nonlinear Schrödinger equation. Zbl 0858.65124 Tang, Y.-F.; Vázquez, L.; Zhang, F.; Pérez-García, V. M. 45 1996 Formal energy of a symplectic scheme for Hamiltonian systems and its applications. I. Zbl 0822.70012 Tang, Y.-F. 12 1994 Formal energy of symplectic scheme for Hamiltonian systems and its applications. II. Zbl 0803.70010 Tang, Yifa; Long, Yonghong 1 1994 The symplecticity of multi-step methods. Zbl 0774.65053 Tang, Yifa 17 1993 The necessary condition for a Runge-Kutta scheme to be symplectic for Hamiltonian systems. Zbl 0777.65047 Tang, Y.-F. 3 1993 Geodesic flows on compact surfaces – as an application of Hamiltonian formalism. Zbl 0783.58060 Tang, Y.-F. 2 1993 Non-conservativity of traditional schemes for Liouville and contact systems. Zbl 0777.65040 Tang, Yifa 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,315 Authors 47 Tang, Yifa 31 Liu, Fawang 29 Liu, Yang 28 Li, Hong 24 Wang, Yushun 23 Zhao, Yanmin 18 Bu, Weiping 18 Huang, Jianfei 17 Băleanu, Dumitru I. 17 Wang, Fenling 16 Li, Meng 15 Lu, Shujuan 14 Dehghan Takht Fooladi, Mehdi 13 Cai, Wenjun 13 Huang, Chengming 13 Macías-Díaz, Jorge Eduardo 12 Anh, Vo V. 12 Turner, Ian William 11 Feng, Libo 11 Karniadakis, George Em 11 Wang, Jinfeng 11 Xiao, Aiguo 10 Abbaszadeh, Mostafa 10 Arshad, Sadia 10 Li, Xiaoli 10 Song, Songhe 10 Wang, Hong 10 Yin, Baoli 9 Chen, Hu 9 Chen, Yanping 9 Ding, Xiaohua 9 Liu, Zhengguang 9 Shi, Yanhua 9 Sun, Zhengjie 9 Zhang, Shengliang 8 Aleroev, Temirkhan Sultanovich 8 Fu, Xinchu 8 Huang, Yunqing 8 Jiang, Xiaoyun 8 Sweilam, Nasser Hassan 7 Cai, Jiaxiang 7 Hendy, Ahmed S. 7 Jiang, Chaolong 7 Shi, Dongyang 7 Shi, Zhengguang 7 Sun, Zhizhong 7 Vong, Seakweng 7 Yang, Jiye 7 Zhang, Jingna 6 Chen, Wenping 6 Ding, Hengfei 6 Fang, Zhichao 6 Fu, Hongfei 6 Gong, Yuezheng 6 Hu, Dongdong 6 Liu, Haiyu 6 Ma, Qiang 6 Qin, Mengzhao 6 Wei, LeiLei 6 Wei, Yabing 6 Xu, Da 6 Xu, Yang 6 Zaky, Mahmoud A. 6 Zeng, Fanhai 6 Zhang, Hui 6 Zhao, Jingjun 6 Zhao, Yue 5 Al-Mekhlafi, Seham Mahyoub 5 Brugnano, Luigi 5 Cheng, Aijie 5 Du, Yanwei 5 Fan, Wenping 5 Fei, Mingfa 5 Gómez-Aguilar, José Francisco 5 He, Siriguleng 5 Karasözen, Bülent 5 Kong, Linghua 5 Kumar, Alpesh 5 Li, Changpin 5 Nie, Yufeng 5 Qian, Xu 5 Sun, Hongguang 5 Wang, Nan 5 Yan, Yubin 5 Yang, Huaijun 5 Zhang, Zhimin 5 Zheng, Xiangcheng 5 Zhu, Beibei 4 Aleroeva, Hedi T. 4 Bhardwaj, Akanksha 4 Cao, Junying 4 Chen, Guanrong 4 Chen, Jingbo 4 Du, Ruilian 4 Hoang, Manh Tuan 4 Hong, Jialin 4 Iavernaro, Felice 4 Li, Haochen 4 Li, Qingfeng 4 Liu, Huan ...and 1,215 more Authors all top 5 Cited in 147 Serials 67 Computers & Mathematics with Applications 61 Applied Mathematics and Computation 53 Journal of Computational Physics 43 Applied Numerical Mathematics 41 International Journal of Computer Mathematics 37 Journal of Computational and Applied Mathematics 34 Numerical Algorithms 31 Journal of Scientific Computing 27 Advances in Difference Equations 20 Mathematics and Computers in Simulation 20 Numerical Methods for Partial Differential Equations 20 Communications in Nonlinear Science and Numerical Simulation 17 Chaos, Solitons and Fractals 16 Computational and Applied Mathematics 16 Advances in Applied Mathematics and Mechanics 15 Applied Mathematics Letters 13 Mathematical Methods in the Applied Sciences 12 East Asian Journal on Applied Mathematics 11 SIAM Journal on Scientific Computing 11 Journal of Applied Mathematics and Computing 9 Physica A 9 Applied Mathematical Modelling 9 International Journal of Applied and Computational Mathematics 8 AIMS Mathematics 8 Communications on Applied Mathematics and Computation 7 Computer Methods in Applied Mechanics and Engineering 7 Computer Physics Communications 6 Physica D 6 Engineering Analysis with Boundary Elements 6 Nonlinear Dynamics 6 Communications in Computational Physics 5 Computational Mechanics 5 Journal of Applied Analysis and Computation 4 Applicable Analysis 4 BIT 4 Journal of Computational Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Advances in Computational Mathematics 4 Journal of Mathematical Chemistry 4 Discrete and Continuous Dynamical Systems. 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Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Revista Colombiana de Matemáticas 1 Mathematica Numerica Sinica 1 Circuits, Systems, and Signal Processing 1 MCSS. Mathematics of Control, Signals, and Systems 1 Science in China. Series A 1 Computational Mathematics and Modeling ...and 47 more Serials all top 5 Cited in 38 Fields 697 Numerical analysis (65-XX) 501 Partial differential equations (35-XX) 150 Real functions (26-XX) 125 Ordinary differential equations (34-XX) 91 Dynamical systems and ergodic theory (37-XX) 87 Biology and other natural sciences (92-XX) 36 Fluid mechanics (76-XX) 28 Computer science (68-XX) 23 Systems theory; control (93-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Mechanics of particles and systems (70-XX) 20 Approximations and expansions (41-XX) 19 Probability theory and stochastic processes (60-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Integral equations (45-XX) 16 Quantum theory (81-XX) 14 Special functions (33-XX) 13 Difference and functional equations (39-XX) 12 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year