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Author ID: xu.da Recent zbMATH articles by "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

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

Publications by Year

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 1068.76062
Ding, 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 1349.65456
Li, Limei; Xu, Da; Luo, Man
38
2013
Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. Zbl 1349.65529
Yang, 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 1033.76039
Ding, 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 1328.65216
Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang
30
2015
Finite central difference/finite element approximations for parabolic integro-differential equations. Zbl 1207.65161
Li, 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 1222.76072
Ding, H.; Shu, Chang; Yeo, K. S.; Xu, D.
27
2006
Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. Zbl 1286.65101
Li, Limei; Xu, Da
25
2013
The global behavior of time discretization for an abstract Volterra equation in Hilbert space. Zbl 0913.65138
Xu, Da
22
1997
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
20
2012
A second-order BDF compact difference scheme for fractional-order Volterra equation. Zbl 1347.65193
Chen, 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 1105.76041
Ding, 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 1284.35454
Yang, 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 1332.65187
Chen, 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 0782.65160
Xu, 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 1227.65136
Xu, Da
16
2011
Stability of the difference type methods for linear Volterra equations in Hilbert spaces. Zbl 1166.65401
Da, Xu
16
2008
A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392
Fairweather, 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 1243.65165
Yang, 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 1170.65104
Da, Xu
15
2008
A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. Zbl 1443.65439
Chen, 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 1439.65229
Qiao, Leijie; Wang, Zhibo; Xu, Da
14
2020
Compact alternating direction implicit scheme for integro-differential equations of parabolic type. Zbl 1445.65050
Qiao, 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 0782.65161
Xu, Da
13
1993
Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability. Zbl 1002.65152
Xu, Da
13
2002
A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. Zbl 07069130
Chen, Hongbin; Xu, Da; Zhou, Jun
13
2019
A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. Zbl 1412.65122
Zhang, Haixiang; Yang, Xuehua; Xu, Da
12
2019
WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation. Zbl 1397.65210
Yang, Xuehua; Zhang, Haixiang; Xu, Da
12
2018
Finite element methods of the two nonlinear integro-differential equations. Zbl 0786.65127
Xu, Da
11
1993
The long-time global behavior of time discretization for fractional order Volterra equations. Zbl 0917.65113
Xu, Da
10
1998
The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence. Zbl 1342.65242
Xu, Da
10
2016
The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. Zbl 1266.65212
Xu, Da
10
2013
Quasi wavelet based numerical method for a class of partial integro-differential equation. Zbl 1278.65199
Long, 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 1429.65196
Qiao, 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 1005.65149
Xu, 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 1299.65310
Tang, 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 1402.35292
Xu, Xiaoyong; Xu, Da
6
2018
Numerical asymptotic stability for the integro-differential equations with the multi-term kernels. Zbl 1411.45006
Xu, Da
6
2017
Decay properties for the numerical solutions of a partial differential equation with memory. Zbl 1309.45009
Xu, Da
6
2015
An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions. Zbl 07283153
Qiu, 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 1432.65198
Luo, 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 1443.65250
Qiao, Leijie; Xu, Da
6
2019
A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. Zbl 1407.65096
Chen, 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 1313.65266
Li, 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 1288.65186
Xu, Da
5
2014
A weak Galerkin finite element method for multi-term time-fractional diffusion equations. Zbl 1468.65157
Zhou, Jun; Xu, Da; Chen, Hongbin
5
2018
A second order fully discrete difference scheme for a nonlinear partial integro-differential equation. Zbl 1164.65527
Chen, 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 1452.65175
Qiu, 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 1453.65465
Xu, Da
5
2018
Orthogonal spline collocation method for the fourth-order diffusion system. Zbl 1409.65079
Yang, 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 1317.65260
Xu, 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 0766.65084
Xu, Da
4
1993
Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces. Zbl 1243.65164
Xu, Da
4
2012
The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. Zbl 1459.65189
Qiu, Wenlin; Xu, Da; Guo, Jing
4
2021
Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations. Zbl 1440.65103
Xu, 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 1443.65153
Zhou, Jun; Xu, Da
4
2020
Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients. Zbl 1390.65127
Yang, 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 1458.65115
Xu, Xiaoyong; Xu, Da
3
2019
Experimental test of entangled histories. Zbl 1377.81022
Cotler, 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 1295.45007
Xu, Da
3
2014
An H\(^1\)-Galerkin mixed finite element method for nonlinear parabolic partial integro-differential equations. Zbl 1174.65056
Chen, Hongbin; Xu, Da; Liu, Xiaoqi
3
2008
An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation. Zbl 1476.35150
Jiang, 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 07400546
Qiao, Leijie; Xu, Da
3
2021
An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092
Zhang, 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 07419184
Qiao, Leijie; Qiu, Wenlin; Xu, Da
3
2021
High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. Zbl 1446.65131
Qiao, Leijie; Xu, Da; Yan, Yubin
3
2020
Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. Zbl 1438.65303
Zhou, Jun; Xu, Da; Dai, Xiuxiu
3
2019
Joint analysis of interval-censored failure time data and panel count data. Zbl 1468.62368
Xu, Da; Zhao, Hui; Sun, Jianguo
3
2018
Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations. Zbl 1453.65369
Xu, Xiaoyong; Xu, Da
3
2018
The uniform \(L^2\) behavior for time discretization of an evolution equation. Zbl 1029.65143
Xu, Da
2
2003
Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations. Zbl 1337.92222
Yang, Y.; Xu, D.; Feng, Z.
2
2008
Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge-Kutta convolution quadrature. Zbl 1311.65171
Xu, 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 07332893
Qiu, Wenlin; Xu, Da; Guo, Jing
2
2021
Second-order difference approximations for Volterra equations with the completely monotonic kernels. Zbl 1422.45011
Xu, Da
2
2019
Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels. Zbl 1434.65197
Xu, Da
2
2020
The asymptotic behavior for numerical solution of a Volterra equation. Zbl 1030.65138
Xu, Da
1
2003
Fault-tolerant control for wireless networked control systems with an integrated scheduler. Zbl 1358.93070
Xu, 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 1313.65336
Lin, Qun; Xu, Da; Zhang, Shuhua
1
2012
Crank-Nicolson quasi-wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1290.65129
Luo, Man; Xu, Da; Li, Limei
1
2013
Proportional mean residual life model with varying coefficients for length-biased and right-censored data. Zbl 1440.62114
Xu, Da; Zhou, Yong
1
2020
A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 07409075
Guo, Jing; Xu, Da
1
2020
A finite difference scheme for the nonlinear time-fractional partial integro-differential equation. Zbl 1452.65404
Guo, Jing; Xu, Da; Qiu, Wenlin
1
2020
Local composite partial likelihood estimation for length-biased and right-censored data. Zbl 07193860
Xu, Da; Zhou, Yong
1
2019
Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. Zbl 07470653
Xu, Xiaoyong; Xu, Da
1
2018
Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations. Zbl 1472.65104
Xu, Da
1
2021
Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1364.65210
Luo, 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 1459.65189
Qiu, 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 07400546
Qiao, Leijie; Xu, Da
3
2021
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. Zbl 07419184
Qiao, 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 07332893
Qiu, 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 1472.65104
Xu, Da
1
2021
An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation. Zbl 1439.65229
Qiao, 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 07283153
Qiu, 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 1452.65175
Qiu, 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 1440.65103
Xu, 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 1443.65153
Zhou, Jun; Xu, Da
4
2020
An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation. Zbl 1476.35150
Jiang, Huifa; Xu, Da; Qiu, Wenlin; Zhou, Jun
3
2020
An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation. Zbl 1450.65092
Zhang, Haixiang; Yang, Xuehua; Xu, Da
3
2020
High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. Zbl 1446.65131
Qiao, Leijie; Xu, Da; Yan, Yubin
3
2020
Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels. Zbl 1434.65197
Xu, Da
2
2020
Proportional mean residual life model with varying coefficients for length-biased and right-censored data. Zbl 1440.62114
Xu, Da; Zhou, Yong
1
2020
A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 07409075
Guo, Jing; Xu, Da
1
2020
A finite difference scheme for the nonlinear time-fractional partial integro-differential equation. Zbl 1452.65404
Guo, 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 07069130
Chen, Hongbin; Xu, Da; Zhou, Jun
13
2019
A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation. Zbl 1412.65122
Zhang, 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 1429.65196
Qiao, 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 1443.65250
Qiao, Leijie; Xu, Da
6
2019
A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction-subdiffusion equation. Zbl 1458.65115
Xu, Xiaoyong; Xu, Da
3
2019
Weak Galerkin finite element method for the parabolic integro-differential equation with weakly singular kernel. Zbl 1438.65303
Zhou, Jun; Xu, Da; Dai, Xiuxiu
3
2019
Second-order difference approximations for Volterra equations with the completely monotonic kernels. Zbl 1422.45011
Xu, Da
2
2019
Local composite partial likelihood estimation for length-biased and right-censored data. Zbl 07193860
Xu, Da; Zhou, Yong
1
2019
Compact alternating direction implicit scheme for integro-differential equations of parabolic type. Zbl 1445.65050
Qiao, Leijie; Xu, Da
13
2018
WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation. Zbl 1397.65210
Yang, 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 1402.35292
Xu, Xiaoyong; Xu, Da
6
2018
A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation. Zbl 1407.65096
Chen, Hongbin; Xu, Da; Cao, Jiliang; Zhou, Jun
5
2018
A weak Galerkin finite element method for multi-term time-fractional diffusion equations. Zbl 1468.65157
Zhou, 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 1453.65465
Xu, Da
5
2018
Orthogonal spline collocation method for the fourth-order diffusion system. Zbl 1409.65079
Yang, Xuehua; Zhang, Haixiang; Xu, Da
4
2018
Orthogonal spline collocation scheme for multiterm fractional convection-diffusion equation with variable coefficients. Zbl 1390.65127
Yang, Xuehua; Zhang, Haixiang; Xu, Da
3
2018
Joint analysis of interval-censored failure time data and panel count data. Zbl 1468.62368
Xu, Da; Zhao, Hui; Sun, Jianguo
3
2018
Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations. Zbl 1453.65369
Xu, Xiaoyong; Xu, Da
3
2018
Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. Zbl 07470653
Xu, Xiaoyong; Xu, Da
1
2018
A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation. Zbl 1443.65439
Chen, Hongbin; Xu, Da; Peng, Yulong
15
2017
Numerical asymptotic stability for the integro-differential equations with the multi-term kernels. Zbl 1411.45006
Xu, Da
6
2017
Experimental test of entangled histories. Zbl 1377.81022
Cotler, 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 1358.93070
Xu, D.; Ding, S. X.; Wang, Ying; Li, L.
1
2017
A second-order BDF compact difference scheme for fractional-order Volterra equation. Zbl 1347.65193
Chen, 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 1342.65242
Xu, Da
10
2016
An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. Zbl 1328.65216
Fairweather, 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 1332.65187
Chen, Hongbin; Xu, Da; Peng, Yulong
18
2015
A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392
Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da
15
2015
Decay properties for the numerical solutions of a partial differential equation with memory. Zbl 1309.45009
Xu, Da
6
2015
A compact difference scheme for a partial integro-differential equation with a weakly singular kernel. Zbl 1432.65198
Luo, Man; Xu, Da; Li, Limei
6
2015
Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge-Kutta convolution quadrature. Zbl 1311.65171
Xu, Da
2
2015
Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation. Zbl 1349.65529
Yang, Xuehua; Zhang, Haixiang; Xu, Da
32
2014
An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. Zbl 1313.65266
Li, 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 1288.65186
Xu, Da
5
2014
Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel. Zbl 1317.65260
Xu, 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 1295.45007
Xu, Da
3
2014
Quasi wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1364.65210
Luo, 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 1349.65456
Li, Limei; Xu, Da; Luo, Man
38
2013
Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation. Zbl 1286.65101
Li, Limei; Xu, Da
25
2013
Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel. Zbl 1284.35454
Yang, Xuehua; Xu, Da; Zhang, Haixiang
18
2013
The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability. Zbl 1266.65212
Xu, 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 1299.65310
Tang, Jie; Xu, Da
7
2013
Crank-Nicolson quasi-wavelet based numerical method for Volterra integro-differential equations on unbounded spatial domains. Zbl 1290.65129
Luo, Man; Xu, Da; Li, Limei
1
2013
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
20
2012
Quasi wavelet based numerical method for a class of partial integro-differential equation. Zbl 1278.65199
Long, 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 1243.65164
Xu, Da
4
2012
Uniform \(L^1\) error bounds for semi-discrete finite element solutions of evolutionary integral equations. Zbl 1313.65336
Lin, 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 1227.65136
Xu, Da
16
2011
Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel. Zbl 1243.65165
Yang, Xuehua; Xu, Da; Zhang, Haixiang
15
2011
Finite central difference/finite element approximations for parabolic integro-differential equations. Zbl 1207.65161
Li, Wulan; Da, Xu
29
2010
Stability of the difference type methods for linear Volterra equations in Hilbert spaces. Zbl 1166.65401
Da, Xu
16
2008
Uniform \(l^{1}\) behavior for time discretization of a Volterra equation with completely monotonic kernel II: Convergence. Zbl 1170.65104
Da, Xu
15
2008
A second order fully discrete difference scheme for a nonlinear partial integro-differential equation. Zbl 1164.65527
Chen, Hongbin; Xu, Da
5
2008
An H\(^1\)-Galerkin mixed finite element method for nonlinear parabolic partial integro-differential equations. Zbl 1174.65056
Chen, Hongbin; Xu, Da; Liu, Xiaoqi
3
2008
Analysis of a model with multiple infectious stages and arbitrarily distributed stage durations. Zbl 1337.92222
Yang, 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 1105.76041
Ding, 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 1222.76072
Ding, 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 1068.76062
Ding, 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 1033.76039
Ding, H.; Shu, C.; Yeo, K. S.; Xu, D.
31
2004
The uniform \(L^2\) behavior for time discretization of an evolution equation. Zbl 1029.65143
Xu, Da
2
2003
The asymptotic behavior for numerical solution of a Volterra equation. Zbl 1030.65138
Xu, Da
1
2003
Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability. Zbl 1002.65152
Xu, Da
13
2002
Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel. Zbl 1005.65149
Xu, Da
7
2002
The long-time global behavior of time discretization for fractional order Volterra equations. Zbl 0917.65113
Xu, Da
10
1998
The global behavior of time discretization for an abstract Volterra equation in Hilbert space. Zbl 0913.65138
Xu, Da
22
1997
On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data. Zbl 0782.65160
Xu, Da
16
1993
On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data. Zbl 0782.65161
Xu, Da
13
1993
Finite element methods of the two nonlinear integro-differential equations. Zbl 0786.65127
Xu, 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 0766.65084
Xu, Da
4
1993
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

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