Edit Profile (opens in new tab) Deng, Weihua Co-Author Distance Author ID: deng.weihua Published as: Deng, Weihua; Deng, Wei-Hua; Deng, WeiHua; Deng, W. H. more...less External Links: MGP Documents Indexed: 139 Publications since 2005, including 4 Books and 14 Additional arXiv Preprints Co-Authors: 69 Co-Authors with 131 Joint Publications 3,573 Co-Co-Authors all top 5 Co-Authors 5 single-authored 26 Nie, Daxin 17 Sun, Jing 17 Wu, Yujiang 15 Chen, Minghua 12 Li, Changpin 11 Li, Can 10 Xu, Pengbo 8 Wang, Xudong 8 Zhang, Zhijiang 7 Zhao, Lijing 5 Lu, Jinhu 5 Tian, Wenyi 5 Wang, Yejuan 4 Chen, Yao 4 Hesthaven, Jan S. 4 Liu, Xing 4 Sandev, Trifce 4 Wang, Wanli 4 Yu, Yanyan 3 Li, Yajing 3 Tang, Xiangong 3 Wang, Can 3 Zhou, Tian 2 Fei, Minrui 2 Hou, Ru 2 Li, Buyang 2 Ma, Fugui 2 Wang, Shuqin 2 Yuan, Jinyun 2 Zhang, Pingwen 2 Zhou, Han 1 Abbaszadeh, Mostafa 1 AL-hada, Eman A. 1 Barkai, Eli 1 Bu, Weiping 1 Chen, Guanrong 1 Chen, Zhen-Qing 1 Cheng, Xiao 1 Dai, Xinjie 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Kaiying 1 Du, Shanda 1 Fan, Hongtao 1 Gong, Dongshan 1 Guo, Qian 1 Irwin, George William 1 Karniadakis, George Em 1 Kocarev, Ljupco 1 Li, Kang 1 Lin, Yuwei 1 Niu, Fujun 1 Qian, Zhi 1 Qiu, Liangliang 1 Serra-Capizzano, Stefano 1 Shen, Xiaoqin 1 Shi, Jiankang 1 Sun, Rui 1 Tian, Xinchun 1 Trajanovski, Pece 1 Wang, Hong 1 Wang, Yantao 1 Wu, Jing 1 Wu, Xiaochao 1 Xie, Weiwei 1 Yan, Yaoqiang 1 Zhang, Na 1 Zhang, Yan 1 Zhao, Tinggang 1 Zhu, Jun all top 5 Serials 13 Journal of Scientific Computing 8 Journal of Physics A: Mathematical and Theoretical 7 Computers & Mathematics with Applications 7 SIAM Journal on Numerical Analysis 5 Numerical Methods for Partial Differential Equations 4 Journal of Statistical Physics 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 4 Advances in Computational Mathematics 3 BIT 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Numerical Mathematics: Theory, Methods and Applications 2 Modern Physics Letters B 2 Journal of Computational Physics 2 Physics Letters. A 2 Journal of Computational and Applied Mathematics 2 Journal of Computational Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Fractals 2 Chaos 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 Communications in Computational Physics 2 Communications in Theoretical Physics 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 1 International Journal of Modern Physics B 1 International Journal of Systems Science 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Inverse and Ill-Posed Problems 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Journal of Ningxia University. Natural Science Edition 1 Journal of the Physical Society of Japan 1 Journal of Systems Science and Complexity 1 Communications in Mathematical Sciences 1 Control and Decision 1 International Journal of Numerical Analysis and Modeling 1 Journal of Statistical Mechanics: Theory and Experiment 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 81 Numerical analysis (65-XX) 75 Partial differential equations (35-XX) 34 Real functions (26-XX) 28 Probability theory and stochastic processes (60-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 3,271 times in 2,164 Documents Cited by ▼ Year ▼ A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058 Tian, Wenyi; Zhou, Han; Deng, Weihua 384 2015 Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115 Deng, Weihua; Li, Changpin; Lü, Jinhu 361 2007 Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344 Deng, Weihua 301 2009 Remarks on fractional derivatives. Zbl 1125.26009 Li, Changpin; Deng, Weihua 224 2007 Numerical algorithm for the time fractional Fokker-Planck equation. Zbl 1388.35095 Deng, Weihua 133 2007 Fourth order accurate scheme for the space fractional diffusion equations. Zbl 1318.65048 Chen, Minghua; Deng, Weihua 111 2014 Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400 Deng, W. H.; Hesthaven, J. S. 109 2013 Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130 Zhou, Han; Tian, WenYi; Deng, Weihua 88 2013 Short memory principle and a predictor-corrector approach for fractional differential equations. Zbl 1121.65128 Deng, Weihua 86 2007 Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108 Zhang, Na; Deng, Weihua; Wu, Yujiang 68 2012 Smoothness and stability of the solutions for nonlinear fractional differential equations. Zbl 1182.26009 Deng, Weihua 66 2010 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104 Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 62 2018 High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136 Li, Can; Deng, Weihua 53 2016 Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005 Li, Can; Deng, Weihua; Zhao, Lijing 51 2019 Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Zbl 1283.65082 Chen, Minghua; Deng, Weihua; Wu, Yujiang 43 2013 Synchronization of chaotic fractional Chen system. Zbl 1080.34537 Deng, Weihua; Li, Changpin 41 2005 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173 Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 41 2017 Galerkin finite element approximations for stochastic space-time fractional wave equations. Zbl 1380.65017 Li, Yajing; Wang, Yejuan; Deng, Weihua 41 2017 Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130 Chen, Minghua; Deng, Weihua 39 2014 Discretized fractional substantial calculus. Zbl 1314.26007 Chen, Minghua; Deng, Weihua 38 2015 Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071 Deng, Weihua; Hesthaven, Jan S. 36 2015 A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. Zbl 1427.65149 Chen, Minghua; Deng, Weihua 34 2014 High order algorithms for the fractional substantial diffusion equation with truncated Lévy flights. Zbl 1317.65198 Chen, Minghua; Deng, Weihua 32 2015 Polynomial spectral collocation method for space fractional advection-diffusion equation. Zbl 1287.65093 Tian, WenYi; Deng, Weihua; Wu, Yujiang 32 2014 A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives. Zbl 1332.65131 Zhao, Lijing; Deng, Weihua 31 2015 The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026 Deng, Weihua; Li, Changpin 28 2008 Analysis of fractional differential equations with multi-orders. Zbl 1176.34008 Deng, Weihua; Li, Changpin; Guo, Qian 28 2007 Jacobian-predictor-corrector approach for fractional differential equations. Zbl 1322.65079 Zhao, Lijing; Deng, Weihua 28 2014 Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system. Zbl 1209.37032 Deng, Weihua; Lü, Jinhu 27 2007 A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1361.65100 Chen, Minghua; Deng, Weihua 27 2017 Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476 Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S. 27 2015 Chaos synchronization of fractional-order differential systems. Zbl 1101.37025 Li, Changpin; Deng, Weihua 24 2006 Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control. Zbl 1146.37316 Deng, Weihua; Lü, Jinhu 24 2006 Numerical algorithms for the forward and backward fractional Feynman-Kac equations. Zbl 1335.65069 Deng, Weihua; Chen, Minghua; Barkai, Eli 24 2015 High order finite difference WENO schemes for fractional differential equations. Zbl 1259.65128 Deng, Weihua; Du, Shanda; Wu, Yujiang 23 2013 Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation. Zbl 1301.35200 Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua 22 2014 A Riesz basis Galerkin method for the tempered fractional Laplacian. Zbl 1402.65120 Zhang, Zhijiang; Deng, Weihua; Karniadakis, George Em 21 2018 Finite difference methods and their physical constraints for the fractional Klein-Kramers equation. Zbl 1233.65052 Deng, Weihua; Li, Can 19 2011 Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations. Zbl 1354.65174 Yu, Yanyan; Deng, Weihua; Wu, Yujiang; Wu, Jing 18 2017 Modeling anomalous diffusion. From statistics to mathematics. Zbl 1453.35001 Deng, Weihua; Hou, Ru; Wang, Wanli; Xu, Pengbo 18 2020 Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model. Zbl 1443.65151 Yu, Yanyan; Deng, Weihua; Wu, Yujiang 18 2015 Numerical analysis and physical simulations for the time fractional radial diffusion equation. Zbl 1228.65144 Li, Can; Deng, Weihua; Wu, Yujiang 17 2011 Time discretization of a tempered fractional Feynman-Kac equation with measure data. Zbl 1405.65141 Deng, Weihua; Li, Buyang; Qian, Zhi; Wang, Hong 17 2018 High accuracy algorithm for the differential equations governing anomalous diffusion. Algorithm and models for anomalous diffusion. Zbl 1450.65001 Deng, Weihua; Zhang, Zhijiang 16 2019 High order finite difference methods on non-uniform meshes for space fractional operators. Zbl 1347.65130 Zhao, Lijing; Deng, Weihua 15 2016 Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation. Zbl 1252.82073 Deng, Kaiying; Deng, Weihua 15 2012 Orthogonal spline collocation methods for the subdiffusion equation. Zbl 1291.65307 Li, Can; Zhao, Tinggang; Deng, Weihua; Wu, Yujiang 14 2014 A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations. Zbl 1373.65073 Wang, Shuqin; Yuan, Jinyun; Deng, Weihua; Wu, Yujiang 14 2016 High order algorithm for the time-tempered fractional Feynman-Kac equation. Zbl 1395.65013 Chen, Minghua; Deng, Weihua 14 2018 Regularization methods for unknown source in space fractional diffusion equation. Zbl 1260.35246 Tian, Wenyi; Li, Can; Deng, Weihua; Wu, Yujiang 14 2012 Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion. Zbl 1397.82042 Chen, Yao; Wang, Xudong; Deng, Weihua 13 2017 Efficient numerical algorithms for three-dimensional fractional partial differential equations. Zbl 1313.65247 Deng, Weihua; Chen, Minghua 13 2014 Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213 Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao 12 2019 Stability analysis of differential equations with time-dependent delay. Zbl 1112.34056 Deng, Weihua; Wu, Yujiang; Li, Changpin 11 2006 Models for characterizing the transition among anomalous diffusions with different diffusion exponents. Zbl 1475.60151 Sandev, Trifce; Deng, Weihua; Xu, Pengbo 11 2018 Variational formulation and efficient implementation for solving the tempered fractional problems. Zbl 1407.82055 Deng, Weihua; Zhang, Zhijiang 10 2018 Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative. Zbl 1477.65049 Sun, Jing; Nie, Daxin; Deng, Weihua 10 2019 A new family of difference schemes for space fractional advection diffusion equation. Zbl 1499.65611 Li, Can; Deng, Weihua 8 2017 High-order quasi-compact difference schemes for fractional diffusion equations. Zbl 1453.65238 Yu, Yanyan; Deng, Weihua; Wu, Yujiang 7 2017 Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 07430400 Sun, Jing; Nie, Daxin; Deng, Weihua 7 2021 Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. Zbl 1448.60192 Deng, Weihua; Wang, Xudong; Zhang, Pingwen 7 2020 Fractional compound Poisson processes with multiple internal states. Zbl 1405.35189 Xu, Pengbo; Deng, Weihua 7 2018 Scaling attractors of fractional differential systems. Zbl 1147.34042 Li, Changpin; Deng, Weihua; Chen, Guanrong 6 2006 Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. Zbl 1397.65177 Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano 6 2018 Generating 3D scroll grid attractors of fractional differential systems via stair function. Zbl 1149.37305 Deng, Weihua 6 2007 Convergence analysis of a multigrid method for a nonlocal model. Zbl 1373.65068 Chen, Minghua; Deng, Weihua 6 2017 Exact solutions and their asymptotic behaviors for the averaged generalized fractional elastic models. Zbl 1301.74008 Li, Can; Deng, Wei-Hua; Shen, Xiao-Qin 6 2014 Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). Zbl 07445145 Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S. 6 2021 Numerical schemes of the time tempered fractional Feynman-Kac equation. Zbl 1412.65071 Deng, W. H.; Zhang, Z. J. 6 2017 Tempered fractional Langevin-Brownian motion with inverse \(\beta\)-stable subordinator. Zbl 1411.82031 Chen, Yao; Wang, Xudong; Deng, Weihua 6 2018 Lévy walk with multiple internal states. Zbl 1403.60037 Xu, Pengbo; Deng, Weihua 6 2018 Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152 Nie, Daxin; Sun, Jing; Deng, Weihua 5 2020 Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092 Sun, Jing; Nie, Daxin; Deng, Weihua 5 2020 Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation. Zbl 1292.65095 Yu, YanYan; Deng, WeiHua; Wu, YuJiang 5 2013 Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel. Zbl 1392.82044 Chen, Yao; Wang, Xudong; Deng, Weihua 5 2018 Stability of \(N\)-dimensional linear systems with multiple delays and application to synchronization. Zbl 1118.34070 Deng, Weihua; Lü, Jinhu; Li, Changpin 4 2006 Analytical solutions, moments, and their asymptotic behaviors for the time-space fractional cable equation. Zbl 1294.35188 Li, Can; Deng, Wei-Hua 4 2014 Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights. Zbl 1380.65210 Zhang, Zhijiang; Deng, Weihua 4 2017 A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062 Nie, Daxin; Deng, Weihua 4 2022 Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. Zbl 07229474 Liu, Xing; Deng, Weihua 4 2020 Finite difference approximations and dynamics simulations for the Lévy fractional Klein-Kramers equation. Zbl 1312.65137 Li, Can; Deng, Weihua; Wu, Yujiang 4 2012 Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. Zbl 1474.65371 Wang, Xudong; Deng, Weihua 4 2020 A new sixth-order finite difference WENO scheme for fractional differential equations. Zbl 1468.65120 Zhang, Yan; Deng, Weihua; Zhu, Jun 4 2021 Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. Zbl 1444.76070 Nie, Daxin; Sun, Jing; Deng, Weihua 4 2020 Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes. Zbl 1452.65173 Nie, Daxin; Sun, Jing; Deng, Weihua 3 2019 Numerical algorithm for the model describing anomalous diffusion in expanding media. Zbl 1476.65246 Nie, Daxin; Sun, Jing; Deng, Weihua 3 2020 Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1524.35704 Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin 3 2022 Feynman-Kac transform for anomalous processes. Zbl 1481.60203 Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo 3 2021 Synchronization of limit sets. Zbl 1117.37019 Li, Changpin; Deng, Weihua 2 2007 Feynman-Kac equations for reaction and diffusion processes. Zbl 1390.35153 Hou, Ru; Deng, Weihua 2 2018 A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453 Yan, Yaoqiang; Deng, Weihua; Nie, Daxin 2 2020 Effects of the tempered aging and the corresponding Fokker-Planck equation. Zbl 1348.82062 Deng, Weihua; Wang, Wanli; Tian, Xinchun; Wu, Yujiang 2 2016 Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation. Zbl 1514.60061 Xu, Pengbo; Deng, Weihua; Sandev, Trifce 2 2020 Characteristic local discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1488.65469 Wang, Shuqin; Deng, Weihua; Yuan, Jinyun; Wu, Yujiang 2 2017 Aging Feynman-Kac equation. Zbl 1390.60306 Wang, Wanli; Deng, Weihua 1 2018 Scaling Chen’s attractor. Zbl 1103.37021 Li, Changpin; Deng, Weihua 1 2006 Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution. Zbl 1522.65148 Nie, Daxin; Sun, Jing; Deng, Weihua 1 2023 Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1527.35112 Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin 1 2023 Distribution of statistical observables for anomalous and nonergodic diffusions. From statistics to mathematics. Zbl 07517340 Deng, Weihua; Wang, Xudong; Nie, Daxin; Liu, Xing 1 2022 Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. Zbl 1452.65166 Liu, Xing; Deng, Weihua 1 2020 Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution. Zbl 1522.65148 Nie, Daxin; Sun, Jing; Deng, Weihua 1 2023 Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1527.35112 Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin 1 2023 A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussian noise with Hurst index \(H\in(0,1)\). Zbl 07556062 Nie, Daxin; Deng, Weihua 4 2022 Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise. Zbl 1524.35704 Li, Yajing; Wang, Yejuan; Deng, Weihua; Nie, Daxin 3 2022 Distribution of statistical observables for anomalous and nonergodic diffusions. From statistics to mathematics. Zbl 07517340 Deng, Weihua; Wang, Xudong; Nie, Daxin; Liu, Xing 1 2022 Lévy walk dynamics in non-static media. Zbl 1499.82038 Zhou, Tian; Xu, Pengbo; Deng, Weihua 1 2022 Classification of stochastic processes by convolutional neural networks. Zbl 1509.68213 AL-hada, Eman A.; Tang, Xiangong; Deng, Weihua 1 2022 Generalized diffusion and random search processes. Zbl 07604524 Zhou, Tian; Trajanovski, Pece; Xu, Pengbo; Deng, Weihua; Sandev, Trifce; Kocarev, Ljupco 1 2022 Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. Zbl 07430400 Sun, Jing; Nie, Daxin; Deng, Weihua 7 2021 Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). Zbl 07445145 Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S. 6 2021 A new sixth-order finite difference WENO scheme for fractional differential equations. Zbl 1468.65120 Zhang, Yan; Deng, Weihua; Zhu, Jun 4 2021 Feynman-Kac transform for anomalous processes. Zbl 1481.60203 Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo 3 2021 Modeling anomalous diffusion. From statistics to mathematics. Zbl 1453.35001 Deng, Weihua; Hou, Ru; Wang, Wanli; Xu, Pengbo 18 2020 Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. Zbl 1448.60192 Deng, Weihua; Wang, Xudong; Zhang, Pingwen 7 2020 Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Zbl 1451.65152 Nie, Daxin; Sun, Jing; Deng, Weihua 5 2020 Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Zbl 1447.65092 Sun, Jing; Nie, Daxin; Deng, Weihua 5 2020 Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. Zbl 07229474 Liu, Xing; Deng, Weihua 4 2020 Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations. Zbl 1474.65371 Wang, Xudong; Deng, Weihua 4 2020 Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states. Zbl 1444.76070 Nie, Daxin; Sun, Jing; Deng, Weihua 4 2020 Numerical algorithm for the model describing anomalous diffusion in expanding media. Zbl 1476.65246 Nie, Daxin; Sun, Jing; Deng, Weihua 3 2020 A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453 Yan, Yaoqiang; Deng, Weihua; Nie, Daxin 2 2020 Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation. Zbl 1514.60061 Xu, Pengbo; Deng, Weihua; Sandev, Trifce 2 2020 Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. Zbl 1452.65166 Liu, Xing; Deng, Weihua 1 2020 Well-posedness and numerical algorithm for the tempered fractional differential equations. Zbl 1414.34005 Li, Can; Deng, Weihua; Zhao, Lijing 51 2019 High accuracy algorithm for the differential equations governing anomalous diffusion. Algorithm and models for anomalous diffusion. Zbl 1450.65001 Deng, Weihua; Zhang, Zhijiang 16 2019 Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213 Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao 12 2019 Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative. Zbl 1477.65049 Sun, Jing; Nie, Daxin; Deng, Weihua 10 2019 Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes. Zbl 1452.65173 Nie, Daxin; Sun, Jing; Deng, Weihua 3 2019 Central local discontinuous Galerkin method for the space fractional diffusion equation. Zbl 1442.65276 Sun, Jing; Nie, Daxin; Deng, Weihua 1 2019 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104 Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 62 2018 A Riesz basis Galerkin method for the tempered fractional Laplacian. Zbl 1402.65120 Zhang, Zhijiang; Deng, Weihua; Karniadakis, George Em 21 2018 Time discretization of a tempered fractional Feynman-Kac equation with measure data. Zbl 1405.65141 Deng, Weihua; Li, Buyang; Qian, Zhi; Wang, Hong 17 2018 High order algorithm for the time-tempered fractional Feynman-Kac equation. Zbl 1395.65013 Chen, Minghua; Deng, Weihua 14 2018 Models for characterizing the transition among anomalous diffusions with different diffusion exponents. Zbl 1475.60151 Sandev, Trifce; Deng, Weihua; Xu, Pengbo 11 2018 Variational formulation and efficient implementation for solving the tempered fractional problems. Zbl 1407.82055 Deng, Weihua; Zhang, Zhijiang 10 2018 Fractional compound Poisson processes with multiple internal states. Zbl 1405.35189 Xu, Pengbo; Deng, Weihua 7 2018 Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. Zbl 1397.65177 Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano 6 2018 Tempered fractional Langevin-Brownian motion with inverse \(\beta\)-stable subordinator. Zbl 1411.82031 Chen, Yao; Wang, Xudong; Deng, Weihua 6 2018 Lévy walk with multiple internal states. Zbl 1403.60037 Xu, Pengbo; Deng, Weihua 6 2018 Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel. Zbl 1392.82044 Chen, Yao; Wang, Xudong; Deng, Weihua 5 2018 Feynman-Kac equations for reaction and diffusion processes. Zbl 1390.35153 Hou, Ru; Deng, Weihua 2 2018 Aging Feynman-Kac equation. Zbl 1390.60306 Wang, Wanli; Deng, Weihua 1 2018 Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1375.65173 Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua 41 2017 Galerkin finite element approximations for stochastic space-time fractional wave equations. Zbl 1380.65017 Li, Yajing; Wang, Yejuan; Deng, Weihua 41 2017 A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation. Zbl 1361.65100 Chen, Minghua; Deng, Weihua 27 2017 Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations. Zbl 1354.65174 Yu, Yanyan; Deng, Weihua; Wu, Yujiang; Wu, Jing 18 2017 Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion. Zbl 1397.82042 Chen, Yao; Wang, Xudong; Deng, Weihua 13 2017 A new family of difference schemes for space fractional advection diffusion equation. Zbl 1499.65611 Li, Can; Deng, Weihua 8 2017 High-order quasi-compact difference schemes for fractional diffusion equations. Zbl 1453.65238 Yu, Yanyan; Deng, Weihua; Wu, Yujiang 7 2017 Convergence analysis of a multigrid method for a nonlocal model. Zbl 1373.65068 Chen, Minghua; Deng, Weihua 6 2017 Numerical schemes of the time tempered fractional Feynman-Kac equation. Zbl 1412.65071 Deng, W. H.; Zhang, Z. J. 6 2017 Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights. Zbl 1380.65210 Zhang, Zhijiang; Deng, Weihua 4 2017 Characteristic local discontinuous Galerkin methods for incompressible Navier-Stokes equations. Zbl 1488.65469 Wang, Shuqin; Deng, Weihua; Yuan, Jinyun; Wu, Yujiang 2 2017 High order schemes for the tempered fractional diffusion equations. Zbl 1347.65136 Li, Can; Deng, Weihua 53 2016 High order finite difference methods on non-uniform meshes for space fractional operators. Zbl 1347.65130 Zhao, Lijing; Deng, Weihua 15 2016 A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations. Zbl 1373.65073 Wang, Shuqin; Yuan, Jinyun; Deng, Weihua; Wu, Yujiang 14 2016 Effects of the tempered aging and the corresponding Fokker-Planck equation. Zbl 1348.82062 Deng, Weihua; Wang, Wanli; Tian, Xinchun; Wu, Yujiang 2 2016 A class of second order difference approximations for solving space fractional diffusion equations. Zbl 1318.65058 Tian, Wenyi; Zhou, Han; Deng, Weihua 384 2015 Discretized fractional substantial calculus. Zbl 1314.26007 Chen, Minghua; Deng, Weihua 38 2015 Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071 Deng, Weihua; Hesthaven, Jan S. 36 2015 High order algorithms for the fractional substantial diffusion equation with truncated Lévy flights. Zbl 1317.65198 Chen, Minghua; Deng, Weihua 32 2015 A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives. Zbl 1332.65131 Zhao, Lijing; Deng, Weihua 31 2015 Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476 Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S. 27 2015 Numerical algorithms for the forward and backward fractional Feynman-Kac equations. Zbl 1335.65069 Deng, Weihua; Chen, Minghua; Barkai, Eli 24 2015 Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model. Zbl 1443.65151 Yu, Yanyan; Deng, Weihua; Wu, Yujiang 18 2015 Fourth order accurate scheme for the space fractional diffusion equations. Zbl 1318.65048 Chen, Minghua; Deng, Weihua 111 2014 Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130 Chen, Minghua; Deng, Weihua 39 2014 A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation. Zbl 1427.65149 Chen, Minghua; Deng, Weihua 34 2014 Polynomial spectral collocation method for space fractional advection-diffusion equation. Zbl 1287.65093 Tian, WenYi; Deng, Weihua; Wu, Yujiang 32 2014 Jacobian-predictor-corrector approach for fractional differential equations. Zbl 1322.65079 Zhao, Lijing; Deng, Weihua 28 2014 Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation. Zbl 1301.35200 Chen, Minghua; Wang, Yantao; Cheng, Xiao; Deng, Weihua 22 2014 Orthogonal spline collocation methods for the subdiffusion equation. Zbl 1291.65307 Li, Can; Zhao, Tinggang; Deng, Weihua; Wu, Yujiang 14 2014 Efficient numerical algorithms for three-dimensional fractional partial differential equations. Zbl 1313.65247 Deng, Weihua; Chen, Minghua 13 2014 Exact solutions and their asymptotic behaviors for the averaged generalized fractional elastic models. Zbl 1301.74008 Li, Can; Deng, Wei-Hua; Shen, Xiao-Qin 6 2014 Analytical solutions, moments, and their asymptotic behaviors for the time-space fractional cable equation. Zbl 1294.35188 Li, Can; Deng, Wei-Hua 4 2014 Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400 Deng, W. H.; Hesthaven, J. S. 109 2013 Quasi-compact finite difference schemes for space fractional diffusion equations. Zbl 1278.65130 Zhou, Han; Tian, WenYi; Deng, Weihua 88 2013 Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Zbl 1283.65082 Chen, Minghua; Deng, Weihua; Wu, Yujiang 43 2013 High order finite difference WENO schemes for fractional differential equations. Zbl 1259.65128 Deng, Weihua; Du, Shanda; Wu, Yujiang 23 2013 Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation. Zbl 1292.65095 Yu, YanYan; Deng, WeiHua; Wu, YuJiang 5 2013 Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108 Zhang, Na; Deng, Weihua; Wu, Yujiang 68 2012 Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation. Zbl 1252.82073 Deng, Kaiying; Deng, Weihua 15 2012 Regularization methods for unknown source in space fractional diffusion equation. Zbl 1260.35246 Tian, Wenyi; Li, Can; Deng, Weihua; Wu, Yujiang 14 2012 Finite difference approximations and dynamics simulations for the Lévy fractional Klein-Kramers equation. Zbl 1312.65137 Li, Can; Deng, Weihua; Wu, Yujiang 4 2012 Finite difference methods and their physical constraints for the fractional Klein-Kramers equation. Zbl 1233.65052 Deng, Weihua; Li, Can 19 2011 Numerical analysis and physical simulations for the time fractional radial diffusion equation. Zbl 1228.65144 Li, Can; Deng, Weihua; Wu, Yujiang 17 2011 Smoothness and stability of the solutions for nonlinear fractional differential equations. Zbl 1182.26009 Deng, Weihua 66 2010 Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344 Deng, Weihua 301 2009 The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026 Deng, Weihua; Li, Changpin 28 2008 Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115 Deng, Weihua; Li, Changpin; Lü, Jinhu 361 2007 Remarks on fractional derivatives. Zbl 1125.26009 Li, Changpin; Deng, Weihua 224 2007 Numerical algorithm for the time fractional Fokker-Planck equation. Zbl 1388.35095 Deng, Weihua 133 2007 Short memory principle and a predictor-corrector approach for fractional differential equations. Zbl 1121.65128 Deng, Weihua 86 2007 Analysis of fractional differential equations with multi-orders. Zbl 1176.34008 Deng, Weihua; Li, Changpin; Guo, Qian 28 2007 Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system. Zbl 1209.37032 Deng, Weihua; Lü, Jinhu 27 2007 Generating 3D scroll grid attractors of fractional differential systems via stair function. Zbl 1149.37305 Deng, Weihua 6 2007 Synchronization of limit sets. Zbl 1117.37019 Li, Changpin; Deng, Weihua 2 2007 Chaos synchronization of fractional-order differential systems. Zbl 1101.37025 Li, Changpin; Deng, Weihua 24 2006 Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control. Zbl 1146.37316 Deng, Weihua; Lü, Jinhu 24 2006 Stability analysis of differential equations with time-dependent delay. Zbl 1112.34056 Deng, Weihua; Wu, Yujiang; Li, Changpin 11 2006 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,728 Authors 84 Deng, Weihua 55 Li, Changpin 48 Wang, Hong 40 Cao, Jinde 40 Li, Hong 40 Liu, Yang 35 Huang, Chengdai 34 Băleanu, Dumitru I. 33 Liu, Fawang 32 Dehghan Takht Fooladi, Mehdi 30 Sun, Zhizhong 28 Abbaszadeh, Mostafa 28 Karniadakis, George Em 27 Sun, Haiwei 25 Turner, Ian William 23 Chen, Minghua 23 Zheng, Xiangcheng 22 Huang, Chengming 21 Nie, Daxin 20 Yan, Yubin 20 Zeng, Fanhai 19 Ding, Hengfei 19 Lei, Siulong 19 Xiao, Min 18 Bu, Weiping 17 Fu, Hongfei 17 Jiang, Xiaoyun 17 Vong, Seakweng 16 Chen, Yangquan 16 Tavazoei, Mohammad Saleh 16 Wu, Ranchao 16 Wu, Yujiang 16 Xu, Changjin 15 Gu, Xian-Ming 15 Sun, Jing 15 Wang, Zhibo 14 Anh, Vo V. 14 Jiang, Wei 14 Li, Meng 14 Wang, Yejuan 14 Zaky, Mahmoud A. 13 Gao, Guanghua 13 Hao, Zhaopeng 13 Liu, Huan 13 Wei, LeiLei 13 Xu, Da 13 Yin, Baoli 13 Zhang, Zhimin 13 Zhao, Yongliang 12 Abdeljawad, Thabet 12 Al-saedi, Ahmed Eid Salem 12 Bhrawy, Ali Hassan 12 Cao, Wanrong 12 Chen, Liping 12 Li, Peiluan 12 Li, Xiaoli 12 She, Zihang 12 Tang, Yifa 12 Wang, Jinfeng 11 Caraballo Garrido, Tomás 11 Liao, Maoxin 11 Liu, Zixin 11 Machado, José António Tenreiro 11 Mohebbi, Akbar 11 Zhang, Jiwei 11 Zhao, Lijing 11 Zhou, Yong 10 Cheng, Aijie 10 Haeri, Mohammad 10 Liu, Song 10 Liu, Zhengguang 10 Xie, Jianqiang 10 Yang, Xuehua 10 Zhang, Haixiang 10 Zhang, Zhiyue 9 Angstmann, Christopher N. 9 Bhalekar, Sachin 9 Chen, Hao 9 Chen, Huanzhen 9 Feng, Libo 9 Henry, Bruce I. 9 Jarad, Fahd 9 Javidi, Mohammad 9 Jia, Jinhong 9 Li, Can 9 Lin, Fu-Rong 9 Liu, Heng 9 Lyu, Pin 9 Ng, Michael Kwok-Po 9 Qiu, Wenlin 9 Sun, Hongguang 9 Wang, Zhen 9 Wu, Guocheng 9 Xiao, Aiguo 9 Xu, Yang 9 Yu, Yongguang 9 Zhang, Zhongqiang 9 Zhao, Jingjun 9 Zhao, Zhengang 9 Zhou, Xianfeng ...and 2,628 more Authors all top 5 Cited in 250 Serials 119 Computers & Mathematics with Applications 113 Applied Mathematics and Computation 97 Applied Numerical Mathematics 96 Journal of Scientific Computing 83 Journal of Computational Physics 77 Nonlinear Dynamics 70 Numerical Algorithms 65 Chaos, Solitons and Fractals 64 Advances in Difference Equations 62 Communications in Nonlinear Science and Numerical Simulation 58 Journal of Computational and Applied Mathematics 52 International Journal of Computer Mathematics 43 Fractional Calculus & Applied Analysis 42 Computational and Applied Mathematics 36 Numerical Methods for Partial Differential Equations 35 Mathematics and Computers in Simulation 31 Mathematical Methods in the Applied Sciences 31 Applied Mathematics Letters 31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 Mathematical Problems in Engineering 30 Physica A 30 Chaos 29 SIAM Journal on Scientific Computing 24 Abstract and Applied Analysis 23 Journal of Applied Mathematics and Computing 22 Communications on Applied Mathematics and Computation 20 Fractals 19 Journal of Physics A: Mathematical and Theoretical 18 Engineering Analysis with Boundary Elements 17 BIT 17 SIAM Journal on Numerical Analysis 17 Applied Mathematical Modelling 16 Complexity 16 Discrete Dynamics in Nature and Society 15 Discrete and Continuous Dynamical Systems. 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