Edit Profile (opens in new tab) Xu, Da Compute Distance To: Compute Author ID: xu.da Published as: Xu, Da; Da, Xu Documents Indexed: 126 Publications since 1992 Co-Authors: 56 Co-Authors with 75 Joint Publications 1,553 Co-Co-Authors all top 5 Co-Authors 36 single-authored 15 Chen, Hongbin 13 Yang, Xuehua 12 Zhang, Haixiang 11 Qiu, Wenlin 10 Qiao, Leijie 9 Guo, Jing 6 Li, Limei 5 Shu, Chang 5 Sun, Jianguo 4 Ding, Hang 4 Luo, Man 4 Xu, Xiaoyong 4 Yeo, Khoon Seng 3 Gan, Siqing 3 Liu, Xiaoqi 3 Peng, Yulong 2 Cao, Jiliang 2 Fairweather, Graeme 2 Hu, Tao 2 Khoo, Boo Cheong 2 Leschziner, Michael A. 2 Li, Wulan 2 Tang, Jie 2 Wang, Zhibo 2 Zhao, Shishun 1 Cao, Haitao 1 Chen, Chuanmiao 1 Chen, Haifan 1 Cotler, Jordan S. 1 Dai, Xiuxiu 1 Duan, Luming 1 Fan, Jinping 1 Fang, Chunhua 1 Gao, Rui 1 He, Hongqing 1 Hou, Pan-Yu 1 Jiang, Huifa 1 Lin, Qun 1 Liu, Qiwen 1 Long, Wenting 1 Lu, Qingping 1 Song, Yuhua 1 Tang, Bo 1 Tang, Qiong 1 Wan, Xinfan 1 Wang, Chunjie 1 Wang, Dehui 1 Wang, Haifeng 1 Wang, Shuying 1 Wilczek, Frank Anthony 1 Wu, Zhuanbao 1 Xu, Hanxiao 1 Yan, Yongnian 1 Yan, Yubin 1 Yang, Xiaolin 1 Yin, Zhang-Qi 1 Yu, Mengzhu 1 Zeng, Xueying 1 Zhang, Dakai 1 Zhang, Renji 1 Zhang, Shuhua 1 Zhang, Yusen 1 Zhao, Hui 1 Zhou, Jizhong 1 Zu, Chong all top 5 Serials 10 Applied Mathematics and Computation 7 Computers & Mathematics with Applications 7 International Journal of Computer Mathematics 5 Numerical Methods for Partial Differential Equations 5 Journal of Scientific Computing 4 Journal of Computational Physics 4 Applied Numerical Mathematics 4 Computational and Applied Mathematics 3 IMA Journal of Numerical Analysis 3 Applied Mathematics and Optimization 3 Calcolo 3 Journal of Computational and Applied Mathematics 3 Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica 3 Numerical Algorithms 3 Numerical Mathematics: Theory, Methods and Applications 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Mathematics and Computers in Simulation 2 Journal of Systems Science and Mathematical Sciences 2 Applied Mathematical Modelling 2 Journal of Statistical Computation and Simulation 2 Advances in Computational Mathematics 2 Acta Mathematica Sinica. English Series 2 East Asian Journal on Applied Mathematics 1 International Journal of General Systems 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Computing 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Mathematicae Applicatae Sinica. English Series 1 Finite Elements in Analysis and Design 1 Applied Mathematics Letters 1 International Journal of Adaptive Control and Signal Processing 1 Annals of Physics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Combinatorial Designs 1 Pure and Applied Mathematics 1 Lifetime Data Analysis 1 Journal of Nonparametric Statistics 1 Journal of Applied Statistics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Natural Science of Hunan Normal University 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Jilin University. Science Edition 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Journal of Hunan University of Arts and Science. Natural Science Edition 1 Journal of the Korean Statistical Society 1 Mathematical Modelling of Natural Phenomena 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 International Journal of Numerical Methods and Applications 1 Journal of Fractional Calculus and Applications all top 5 Fields 100 Numerical analysis (65-XX) 65 Integral equations (45-XX) 35 Partial differential equations (35-XX) 13 Real functions (26-XX) 9 Statistics (62-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 4 Systems theory; control (93-XX) 3 Biology and other natural sciences (92-XX) 2 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 797 times in 306 Documents Cited by ▼ Year ▼ Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method. Zbl 1068.76062Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 39 2004 Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation. Zbl 1349.65456Li, Limei; Xu, Da; Luo, Man 38 2013 Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. Zbl 1349.65529Yang, Xuehua; Zhang, Haixiang; Xu, Da 32 2014 Development of least-square-based two-dimensional finite difference schemes and their application to simulate natural convection in a cavity. Zbl 1033.76039Ding, H.; Shu, C.; Yeo, K. S.; Xu, D. 31 2004 An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. Zbl 1328.65216Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang 30 2015 Finite central difference/finite element approximations for parabolic integro-differential equations. Zbl 1207.65161Li, Wulan; Da, Xu 29 2010 Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method. Zbl 1222.76072Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 27 2006 Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. Zbl 1286.65101Li, Limei; Xu, Da 25 2013 The global behavior of time discretization for an abstract Volterra equation in Hilbert space. Zbl 0913.65138Xu, Da 22 1997 A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283Chen, Hongbin; Xu, Da 20 2012 A second-order BDF compact difference scheme for fractional-order Volterra equation. Zbl 1347.65193Chen, Hongbin; Gan, Siqing; Xu, Da; Liu, Qiwen 20 2016 Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods. Zbl 1105.76041Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 18 2007 Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel. Zbl 1284.35454Yang, Xuehua; Xu, Da; Zhang, Haixiang 18 2013 An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation. Zbl 1332.65187Chen, Hongbin; Xu, Da; Peng, Yulong 18 2015 On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data. Zbl 0782.65160Xu, Da 16 1993 Uniform \(l^{1}\) behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel. I: Stability. Zbl 1227.65136Xu, Da 16 2011 Stability of the difference type methods for linear Volterra equations in Hilbert spaces. Zbl 1166.65401Da, Xu 16 2008 A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da 15 2015 Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel. Zbl 1243.65165Yang, Xuehua; Xu, Da; Zhang, Haixiang 15 2011 Uniform \(l^{1}\) behavior for time discretization of a Volterra equation with completely monotonic kernel II: Convergence. Zbl 1170.65104Da, Xu 15 2008 A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. Zbl 1443.65439Chen, Hongbin; Xu, Da; Peng, Yulong 15 2017 An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation. Zbl 1439.65229Qiao, Leijie; Wang, Zhibo; Xu, Da 14 2020 Compact alternating direction implicit scheme for integro-differential equations of parabolic type. Zbl 1445.65050Qiao, Leijie; Xu, Da 13 2018 On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data. Zbl 0782.65161Xu, Da 13 1993 Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability. Zbl 1002.65152Xu, Da 13 2002 A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. Zbl 07069130Chen, Hongbin; Xu, Da; Zhou, Jun 13 2019 A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. Zbl 1412.65122Zhang, Haixiang; Yang, Xuehua; Xu, Da 12 2019 WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation. Zbl 1397.65210Yang, Xuehua; Zhang, Haixiang; Xu, Da 12 2018 Finite element methods of the two nonlinear integro-differential equations. Zbl 0786.65127Xu, Da 11 1993 The long-time global behavior of time discretization for fractional order Volterra equations. Zbl 0917.65113Xu, Da 10 1998 The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence. Zbl 1342.65242Xu, Da 10 2016 The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. Zbl 1266.65212Xu, Da 10 2013 Quasi wavelet based numerical method for a class of partial integro-differential equation. Zbl 1278.65199Long, Wenting; Xu, Da; Zeng, Xueying 8 2012 An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel. Zbl 1429.65196Qiao, Leijie; Xu, Da; Wang, Zhibo 8 2019 Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel. Zbl 1005.65149Xu, Da 7 2002 The global behavior of finite difference-spatial spectral collocation methods for a partial integro-differential equation with a weakly singular kernel. Zbl 1299.65310Tang, Jie; Xu, Da 7 2013 A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method. Zbl 1402.35292Xu, Xiaoyong; Xu, Da 6 2018 Numerical asymptotic stability for the integro-differential equations with the multi-term kernels. Zbl 1411.45006Xu, Da 6 2017 Decay properties for the numerical solutions of a partial differential equation with memory. Zbl 1309.45009Xu, Da 6 2015 An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions. Zbl 07283153Qiu, Wenlin; Xu, Da; Chen, Haifan; Guo, Jing 6 2020 A compact difference scheme for a partial integro-differential equation with a weakly singular kernel. Zbl 1432.65198Luo, Man; Xu, Da; Li, Limei 6 2015 BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels. Zbl 1443.65250Qiao, Leijie; Xu, Da 6 2019 A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. Zbl 1407.65096Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun 5 2018 An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. Zbl 1313.65266Li, Limei; Xu, Da 5 2014 Uniform \(l^1\) convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates. Zbl 1288.65186Xu, Da 5 2014 A weak Galerkin finite element method for multi-term time-fractional diffusion equations. Zbl 1468.65157Zhou, Jun; Xu, Da; Chen, Hongbin 5 2018 A second order fully discrete difference scheme for a nonlinear partial integro-differential equation. Zbl 1164.65527Chen, Hongbin; Xu, Da 5 2008 A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model. Zbl 1452.65175Qiu, Wenlin; Xu, Da; Guo, Jing; Zhou, Jun 5 2020 Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method. Zbl 1453.65465Xu, Da 5 2018 Orthogonal spline collocation method for the fourth-order diffusion system. Zbl 1409.65079Yang, Xuehua; Zhang, Haixiang; Xu, Da 4 2018 Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel. Zbl 1317.65260Xu, Da 4 2014 Non-smooth initial data error estimates with the weight norms for the linear finite element method of parabolic partial differential equations. Zbl 0766.65084Xu, Da 4 1993 Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces. Zbl 1243.65164Xu, Da 4 2012 The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Zbl 1459.65189Qiu, Wenlin; Xu, Da; Guo, Jing 4 2021 Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations. Zbl 1440.65103Xu, Da; Guo, Jing; Qiu, Wenlin 4 2020 Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel. Zbl 1443.65153Zhou, Jun; Xu, Da 4 2020 Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients. Zbl 1390.65127Yang, Xuehua; Zhang, Haixiang; Xu, Da 3 2018 A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction-subdiffusion equation. Zbl 1458.65115Xu, Xiaoyong; Xu, Da 3 2019 Experimental test of entangled histories. Zbl 1377.81022Cotler, Jordan; Duan, Lu-Ming; Hou, Pan-Yu; Wilczek, Frank; Xu, Da; Yin, Zhang-Qi; Zu, Chong 3 2017 The long time error analysis in the second order difference type method of an evolutionary integral equation with completely monotonic kernel. Zbl 1295.45007Xu, Da 3 2014 An H\(^1\)-Galerkin mixed finite element method for nonlinear parabolic partial integro-differential equations. Zbl 1174.65056Chen, Hongbin; Xu, Da; Liu, Xiaoqi 3 2008 An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation. Zbl 1476.35150Jiang, Huifa; Xu, Da; Qiu, Wenlin; Zhou, Jun 3 2020 A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. Zbl 07400546Qiao, Leijie; Xu, Da 3 2021 An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092Zhang, Haixiang; Yang, Xuehua; Xu, Da 3 2020 A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. Zbl 07419184Qiao, Leijie; Qiu, Wenlin; Xu, Da 3 2021 High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. Zbl 1446.65131Qiao, Leijie; Xu, Da; Yan, Yubin 3 2020 Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. Zbl 1438.65303Zhou, Jun; Xu, Da; Dai, Xiuxiu 3 2019 Joint analysis of interval-censored failure time data and panel count data. Zbl 1468.62368Xu, Da; Zhao, Hui; Sun, Jianguo 3 2018 Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations. Zbl 1453.65369Xu, Xiaoyong; Xu, Da 3 2018 The uniform \(L^2\) behavior for time discretization of an evolution equation. Zbl 1029.65143Xu, Da 2 2003 Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations. Zbl 1337.92222Yang, Y.; Xu, D.; Feng, Z. 2 2008 Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge-Kutta convolution quadrature. Zbl 1311.65171Xu, Da 2 2015 Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation. Zbl 07332893Qiu, Wenlin; Xu, Da; Guo, Jing 2 2021 Second-order difference approximations for Volterra equations with the completely monotonic kernels. Zbl 1422.45011Xu, Da 2 2019 Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels. Zbl 1434.65197Xu, Da 2 2020 The asymptotic behavior for numerical solution of a Volterra equation. Zbl 1030.65138Xu, Da 1 2003 Fault-tolerant control for wireless networked control systems with an integrated scheduler. Zbl 1358.93070Xu, D.; Ding, S. X.; Wang, Ying; Li, L. 1 2017 Uniform \(L^1\) error bounds for semi-discrete finite element solutions of evolutionary integral equations. Zbl 1313.65336Lin, Qun; Xu, Da; Zhang, Shuhua 1 2012 Crank-Nicolson quasi-wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1290.65129Luo, Man; Xu, Da; Li, Limei 1 2013 Proportional mean residual life model with varying coefficients for length-biased and right-censored data. Zbl 1440.62114Xu, Da; Zhou, Yong 1 2020 A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 07409075Guo, Jing; Xu, Da 1 2020 A finite difference scheme for the nonlinear time-fractional partial integro-differential equation. Zbl 1452.65404Guo, Jing; Xu, Da; Qiu, Wenlin 1 2020 Local composite partial likelihood estimation for length-biased and right-censored data. Zbl 07193860Xu, Da; Zhou, Yong 1 2019 Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. Zbl 07470653Xu, Xiaoyong; Xu, Da 1 2018 Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations. Zbl 1472.65104Xu, Da 1 2021 Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1364.65210Luo, Man; Xu, Da; Li, Limei; Yang, Xuehua 1 2014 The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Zbl 1459.65189Qiu, Wenlin; Xu, Da; Guo, Jing 4 2021 A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. Zbl 07400546Qiao, Leijie; Xu, Da 3 2021 A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. Zbl 07419184Qiao, Leijie; Qiu, Wenlin; Xu, Da 3 2021 Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation. Zbl 07332893Qiu, Wenlin; Xu, Da; Guo, Jing 2 2021 Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations. Zbl 1472.65104Xu, Da 1 2021 An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation. Zbl 1439.65229Qiao, Leijie; Wang, Zhibo; Xu, Da 14 2020 An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions. Zbl 07283153Qiu, Wenlin; Xu, Da; Chen, Haifan; Guo, Jing 6 2020 A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model. Zbl 1452.65175Qiu, Wenlin; Xu, Da; Guo, Jing; Zhou, Jun 5 2020 Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations. Zbl 1440.65103Xu, Da; Guo, Jing; Qiu, Wenlin 4 2020 Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel. Zbl 1443.65153Zhou, Jun; Xu, Da 4 2020 An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation. Zbl 1476.35150Jiang, Huifa; Xu, Da; Qiu, Wenlin; Zhou, Jun 3 2020 An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092Zhang, Haixiang; Yang, Xuehua; Xu, Da 3 2020 High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. Zbl 1446.65131Qiao, Leijie; Xu, Da; Yan, Yubin 3 2020 Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels. Zbl 1434.65197Xu, Da 2 2020 Proportional mean residual life model with varying coefficients for length-biased and right-censored data. Zbl 1440.62114Xu, Da; Zhou, Yong 1 2020 A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 07409075Guo, Jing; Xu, Da 1 2020 A finite difference scheme for the nonlinear time-fractional partial integro-differential equation. Zbl 1452.65404Guo, Jing; Xu, Da; Qiu, Wenlin 1 2020 A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. Zbl 07069130Chen, Hongbin; Xu, Da; Zhou, Jun 13 2019 A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. Zbl 1412.65122Zhang, Haixiang; Yang, Xuehua; Xu, Da 12 2019 An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel. Zbl 1429.65196Qiao, Leijie; Xu, Da; Wang, Zhibo 8 2019 BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels. Zbl 1443.65250Qiao, Leijie; Xu, Da 6 2019 A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction-subdiffusion equation. Zbl 1458.65115Xu, Xiaoyong; Xu, Da 3 2019 Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. Zbl 1438.65303Zhou, Jun; Xu, Da; Dai, Xiuxiu 3 2019 Second-order difference approximations for Volterra equations with the completely monotonic kernels. Zbl 1422.45011Xu, Da 2 2019 Local composite partial likelihood estimation for length-biased and right-censored data. Zbl 07193860Xu, Da; Zhou, Yong 1 2019 Compact alternating direction implicit scheme for integro-differential equations of parabolic type. Zbl 1445.65050Qiao, Leijie; Xu, Da 13 2018 WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation. Zbl 1397.65210Yang, Xuehua; Zhang, Haixiang; Xu, Da 12 2018 A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method. Zbl 1402.35292Xu, Xiaoyong; Xu, Da 6 2018 A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. Zbl 1407.65096Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun 5 2018 A weak Galerkin finite element method for multi-term time-fractional diffusion equations. Zbl 1468.65157Zhou, Jun; Xu, Da; Chen, Hongbin 5 2018 Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method. Zbl 1453.65465Xu, Da 5 2018 Orthogonal spline collocation method for the fourth-order diffusion system. Zbl 1409.65079Yang, Xuehua; Zhang, Haixiang; Xu, Da 4 2018 Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients. Zbl 1390.65127Yang, Xuehua; Zhang, Haixiang; Xu, Da 3 2018 Joint analysis of interval-censored failure time data and panel count data. Zbl 1468.62368Xu, Da; Zhao, Hui; Sun, Jianguo 3 2018 Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations. Zbl 1453.65369Xu, Xiaoyong; Xu, Da 3 2018 Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. Zbl 07470653Xu, Xiaoyong; Xu, Da 1 2018 A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. Zbl 1443.65439Chen, Hongbin; Xu, Da; Peng, Yulong 15 2017 Numerical asymptotic stability for the integro-differential equations with the multi-term kernels. Zbl 1411.45006Xu, Da 6 2017 Experimental test of entangled histories. Zbl 1377.81022Cotler, Jordan; Duan, Lu-Ming; Hou, Pan-Yu; Wilczek, Frank; Xu, Da; Yin, Zhang-Qi; Zu, Chong 3 2017 Fault-tolerant control for wireless networked control systems with an integrated scheduler. Zbl 1358.93070Xu, D.; Ding, S. X.; Wang, Ying; Li, L. 1 2017 A second-order BDF compact difference scheme for fractional-order Volterra equation. Zbl 1347.65193Chen, Hongbin; Gan, Siqing; Xu, Da; Liu, Qiwen 20 2016 The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence. Zbl 1342.65242Xu, Da 10 2016 An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. Zbl 1328.65216Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang 30 2015 An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation. Zbl 1332.65187Chen, Hongbin; Xu, Da; Peng, Yulong 18 2015 A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da 15 2015 Decay properties for the numerical solutions of a partial differential equation with memory. Zbl 1309.45009Xu, Da 6 2015 A compact difference scheme for a partial integro-differential equation with a weakly singular kernel. Zbl 1432.65198Luo, Man; Xu, Da; Li, Limei 6 2015 Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge-Kutta convolution quadrature. Zbl 1311.65171Xu, Da 2 2015 Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. Zbl 1349.65529Yang, Xuehua; Zhang, Haixiang; Xu, Da 32 2014 An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. Zbl 1313.65266Li, Limei; Xu, Da 5 2014 Uniform \(l^1\) convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates. Zbl 1288.65186Xu, Da 5 2014 Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel. Zbl 1317.65260Xu, Da 4 2014 The long time error analysis in the second order difference type method of an evolutionary integral equation with completely monotonic kernel. Zbl 1295.45007Xu, Da 3 2014 Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1364.65210Luo, Man; Xu, Da; Li, Limei; Yang, Xuehua 1 2014 Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation. Zbl 1349.65456Li, Limei; Xu, Da; Luo, Man 38 2013 Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. Zbl 1286.65101Li, Limei; Xu, Da 25 2013 Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel. Zbl 1284.35454Yang, Xuehua; Xu, Da; Zhang, Haixiang 18 2013 The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. Zbl 1266.65212Xu, Da 10 2013 The global behavior of finite difference-spatial spectral collocation methods for a partial integro-differential equation with a weakly singular kernel. Zbl 1299.65310Tang, Jie; Xu, Da 7 2013 Crank-Nicolson quasi-wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1290.65129Luo, Man; Xu, Da; Li, Limei 1 2013 A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283Chen, Hongbin; Xu, Da 20 2012 Quasi wavelet based numerical method for a class of partial integro-differential equation. Zbl 1278.65199Long, Wenting; Xu, Da; Zeng, Xueying 8 2012 Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces. Zbl 1243.65164Xu, Da 4 2012 Uniform \(L^1\) error bounds for semi-discrete finite element solutions of evolutionary integral equations. Zbl 1313.65336Lin, Qun; Xu, Da; Zhang, Shuhua 1 2012 Uniform \(l^{1}\) behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel. I: Stability. Zbl 1227.65136Xu, Da 16 2011 Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel. Zbl 1243.65165Yang, Xuehua; Xu, Da; Zhang, Haixiang 15 2011 Finite central difference/finite element approximations for parabolic integro-differential equations. Zbl 1207.65161Li, Wulan; Da, Xu 29 2010 Stability of the difference type methods for linear Volterra equations in Hilbert spaces. Zbl 1166.65401Da, Xu 16 2008 Uniform \(l^{1}\) behavior for time discretization of a Volterra equation with completely monotonic kernel II: Convergence. Zbl 1170.65104Da, Xu 15 2008 A second order fully discrete difference scheme for a nonlinear partial integro-differential equation. Zbl 1164.65527Chen, Hongbin; Xu, Da 5 2008 An H\(^1\)-Galerkin mixed finite element method for nonlinear parabolic partial integro-differential equations. Zbl 1174.65056Chen, Hongbin; Xu, Da; Liu, Xiaoqi 3 2008 Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations. Zbl 1337.92222Yang, Y.; Xu, D.; Feng, Z. 2 2008 Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods. Zbl 1105.76041Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 18 2007 Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method. Zbl 1222.76072Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 27 2006 Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method. Zbl 1068.76062Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D. 39 2004 Development of least-square-based two-dimensional finite difference schemes and their application to simulate natural convection in a cavity. Zbl 1033.76039Ding, H.; Shu, C.; Yeo, K. S.; Xu, D. 31 2004 The uniform \(L^2\) behavior for time discretization of an evolution equation. Zbl 1029.65143Xu, Da 2 2003 The asymptotic behavior for numerical solution of a Volterra equation. Zbl 1030.65138Xu, Da 1 2003 Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability. Zbl 1002.65152Xu, Da 13 2002 Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel. Zbl 1005.65149Xu, Da 7 2002 The long-time global behavior of time discretization for fractional order Volterra equations. Zbl 0917.65113Xu, Da 10 1998 The global behavior of time discretization for an abstract Volterra equation in Hilbert space. Zbl 0913.65138Xu, Da 22 1997 On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data. Zbl 0782.65160Xu, Da 16 1993 On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data. Zbl 0782.65161Xu, Da 13 1993 Finite element methods of the two nonlinear integro-differential equations. Zbl 0786.65127Xu, Da 11 1993 Non-smooth initial data error estimates with the weight norms for the linear finite element method of parabolic partial differential equations. Zbl 0766.65084Xu, Da 4 1993 all cited Publications top 5 cited Publications all top 5 Cited by 392 Authors 68 Xu, Da 19 Yang, Xuehua 19 Zhang, Haixiang 15 Dehghan Takht Fooladi, Mehdi 15 Qiu, Wenlin 13 Abbaszadeh, Mostafa 11 Li, Hong 11 Liu, Yang 9 Chen, Hongbin 9 Li, Xiaoli 9 Qiao, Leijie 8 Guo, Jing 8 Liu, Zhengguang 7 Tang, Yifa 6 Huang, Chengming 6 Huang, Jianfei 6 Yin, Baoli 5 Wang, Jinfeng 5 Wang, Zhibo 4 Arshad, Sadia 4 Cheng, Aijie 4 Fu, Hongfei 4 He, Siriguleng 4 Li, Limei 4 Wang, Junjun 4 Yi, Lijun 3 Arshed, Saima 3 Bu, Weiping 3 Cao, Qian 3 Chen, An 3 Fang, Zhichao 3 Iričanin, Bratislav D. 3 Kosmala, Witold A. J. 3 Kumar, Sachin 3 Li, Meng 3 Luo, Man 3 Mo, Yan 3 Šmarda, Zdeněk 3 Stević, Stevo 3 Tang, Qiong 3 Xu, Xiaoyong 3 Zeng, Fanhai 3 Zhang, Jingna 3 Zhou, Zhi 3 Zhu, Chen 2 Assanova, Anar Turmaganbetkyzy 2 Cao, Jiliang 2 Chen, Haifan 2 Chen, Hu 2 Chen, Minghua 2 Chen, Wenping 2 Cotler, Jordan S. 2 Deng, Weihua 2 Du, Yanwei 2 Ezz-Eldien, Samer S. 2 Fakhar-Izadi, Farhad 2 Fei, Mingfa 2 Gao, Guanghua 2 Gao, Wei 2 Guan, Zhen 2 Han, Xuli 2 Hicdurmaz, Betul 2 Jia, Hongli 2 Jiang, Yingjun 2 Jin, Bangti 2 Jiwari, Ram 2 Laitinen, Erkki K. 2 Lapin, Aleksandr Vasil’evich 2 Lazarov, Raytcho D. 2 Le, Kim-Ngan 2 Li, Changpin 2 Li, Xuhao 2 Liang, Zongqi 2 Liu, Fawang 2 Liu, Xinfei 2 Liu, Yanling 2 Liu, Yuan 2 Lu, Shujuan 2 Maleknejad, Khosrow 2 McLean, William 2 Mohebbi, Akbar 2 Mustapha, Kassem 2 Nie, Yufeng 2 Nikan, Omid 2 Pandey, Prashant K. 2 Peng, Yulong 2 Ponce, Rodrigo F. 2 Rostami, Yaser 2 Rui, Hongxing 2 Stynes, Martin 2 Sun, Zhizhong 2 Wang, Hong 2 Wang, Jungang 2 Wang, Lina 2 Wen, Cao 2 Wilczek, Frank Anthony 2 Wong, Patricia J. Y. 2 Xiao, Aiguo 2 Yan, Yubin 2 Yang, Hedi ...and 292 more Authors all top 5 Cited in 81 Serials 31 Computers & Mathematics with Applications 28 Applied Numerical Mathematics 28 International Journal of Computer Mathematics 18 Applied Mathematics and Computation 18 Journal of Scientific Computing 16 Computational and Applied Mathematics 13 Journal of Computational and Applied Mathematics 12 Journal of Computational Physics 8 Numerical Algorithms 7 Advances in Difference Equations 6 Mathematics and Computers in Simulation 6 Applied Mathematics Letters 4 Applied Mathematics and Optimization 4 Numerical Methods for Partial Differential Equations 4 Journal of Integral Equations and Applications 4 Lobachevskii Journal of Mathematics 3 Applicable Analysis 3 Applied Mathematical Modelling 3 Advances in Computational Mathematics 3 Engineering Analysis with Boundary Elements 3 Journal of Applied Mathematics and Computing 3 Advances in Applied Mathematics and Mechanics 3 Science China. Mathematics 3 Journal of Applied Analysis and Computation 3 International Journal of Applied and Computational Mathematics 3 AIMS Mathematics 2 International Journal of Control 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 SIAM Journal on Scientific Computing 2 Journal of Inequalities and Applications 2 Journal of Applied Statistics 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Mediterranean Journal of Mathematics 2 Communications in Computational Physics 2 Mathematical Sciences 2 East Asian Journal on Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Calcolo 1 Computing 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Physics 1 Applied Mathematics. Series B (English Edition) 1 Fractals 1 Lifetime Data Analysis 1 Complexity 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Engineering Computations 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Advances in Mathematical Physics 1 Journal of Mathematics and Computer Science. JMCS 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Journal of Mathematics 1 Journal of Mathematical Modeling 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations 1 Open Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Electronic Research Archive 1 Results in Applied Mathematics all top 5 Cited in 35 Fields 270 Numerical analysis (65-XX) 162 Partial differential equations (35-XX) 86 Integral equations (45-XX) 51 Real functions (26-XX) 24 Ordinary differential equations (34-XX) 19 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Quantum theory (81-XX) 3 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year