An \(h\)-\(p\) version of the continuous Petrov-Galerkin finite element method for Volterra integro-differential equations with smooth and nonsmooth kernels. Zbl 1330.65206
Yi, Lijun; Guo, Benqi |
|
2015
|
An \(hp\)-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels. Zbl 1364.65299
Wang, Zhong-Qing; Guo, Yu-Ling; Yi, Li-Jun |
|
2017
|
An \(L^\infty\)-error estimate for the \(h\)-\(p\) version continuous Petrov-Galerkin method for nonlinear initial value problems. Zbl 1478.65069
Yi, Lijun |
|
2015
|
An \(h-p\) version of the continuous Petrov-Galerkin finite element method for nonlinear Volterra integro-differential equations. Zbl 1327.65147
Yi, Lijun |
|
2015
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations. Zbl 1398.65190
Meng, Tingting; Yi, Lijun |
|
2018
|
Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations. Zbl 1282.65126
Yi, Lijun; Wang, Zhongqing |
|
2014
|
An \(h\)-\(p\) Petrov-Galerkin finite element method for linear Volterra integro-differential equations. Zbl 1311.65172
Yi, Lijun; Guo, Benqi |
|
2014
|
A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations. Zbl 1379.65054
Yi, Lijun; Wang, Zhongqing |
|
2016
|
Legendre-Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations. Zbl 1306.65238
Yi, Lijun; Wang, Zhongqing |
|
2014
|
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels. Zbl 1459.65249
Wang, Lina; Tian, Hongjiong; Yi, Lijun |
|
2021
|
Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations. Zbl 1278.65161
Yi, Li-Jun; Liang, Zi-Qiang; Wang, Zhong-Qing |
|
2013
|
An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. Zbl 1441.65068
Wei, Yichen; Yi, Lijun |
|
2020
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations. Zbl 1387.65077
Wang, Lina; Yi, Lijun |
|
2017
|
A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. Zbl 1453.65346
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo |
|
2020
|
The \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear Volterra functional integro-differential equations with vanishing delays. Zbl 1408.65040
Yi, Lijun; Guo, Benqi |
|
2018
|
Local Chebyshev projection-interpolation operator and application to the \(h-p\) version of the finite element method in three dimensions. Zbl 1263.65112
Guo, Benqi; Yi, Lijun |
|
2013
|
A Legendre-Gauss spectral collocation method for second order nonlinear delay differential equations. Zbl 1324.65108
Yi, Lijun; Wang, Zhongqing |
|
2014
|
An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays. Zbl 1429.65326
Wang, Lina; Yi, Lijun |
|
2019
|
An \({h}\)-\({p}\) version of the Chebyshev spectral collocation method for nonlinear delay differential equations. Zbl 1416.65179
Meng, Tingting; Wang, Zhongqing; Yi, Lijun |
|
2019
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations. Zbl 1477.65125
Xie, Jinghua; Yi, Lijun |
|
2019
|
Superconvergence of the \(h\)-\(p\) version of the finite element method in one dimension. Zbl 1175.65090
Yi, Lijun; Guo, Benqi |
|
2009
|
A new Galerkin spectral element method for fourth-order boundary value problems. Zbl 1343.65141
Sun, Tao; Yi, Lijun |
|
2016
|
A Petrov-Galerkin spectral method for fourth-order problems. Zbl 1305.65235
Sun, Tao; Yi, Lijun |
|
2014
|
Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. Zbl 1517.65060
Zhang, Mingzhu; Yi, Lijun |
|
2023
|
Exponential convergence of the hp-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities. Zbl 1482.65036
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun |
|
2021
|
A-posteriori error estimation for the Legendre spectral Galerkin method in one-dimension. Zbl 1224.65194
Yi, Lijun; Guo, Benqi |
|
2010
|
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun |
|
2023
|
Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. Zbl 1524.65989
Yi, Lijun; Zhang, Mingzhu; Mao, Xinyu |
|
2023
|
An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays. Zbl 1427.65138
Wei, Yichen; Sun, Tao; Yi, Lijun |
|
2020
|
Exponential convergence of \(hp\)-discontinuous Galerkin method for nonlinear Caputo fractional differential equations. Zbl 1492.65356
Chen, Yanping; Wang, Lina; Yi, Lijun |
|
2022
|
An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations. Zbl 1440.65278
Li, Shuangshuang; Wang, Lina; Yi, Lijun |
|
2020
|
An \(hp\)-version of \(C^0\)-continuous Petrov-Galerkin time-stepping method for second-order Volterra integro-differential equations with weakly singular kernels. Zbl 1461.65269
Li, Shuangshuang; Wang, Lina; Yi, Lijun |
|
2021
|
An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. Zbl 1462.65097
Wang, Lina; Yi, Lijun; Jia, Hongli |
|
2020
|
Delay-dependent elliptic reconstruction and optimal \(L^\infty (L^2)\) a posteriori error estimates for fully discrete delay parabolic problems. Zbl 1506.65141
Wang, Wansheng; Yi, Lijun |
|
2022
|
Postprocessing techniques of high-order Galerkin approximations to nonlinear second-order initial value problems with applications to wave equations. Zbl 07895211
Zhang, Mingzhu; Yi, Lijun |
|
2024
|
Postprocessing techniques of high-order Galerkin approximations to nonlinear second-order initial value problems with applications to wave equations. Zbl 07895211
Zhang, Mingzhu; Yi, Lijun |
|
2024
|
Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems. Zbl 1517.65060
Zhang, Mingzhu; Yi, Lijun |
|
2023
|
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun |
|
2023
|
Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. Zbl 1524.65989
Yi, Lijun; Zhang, Mingzhu; Mao, Xinyu |
|
2023
|
Exponential convergence of \(hp\)-discontinuous Galerkin method for nonlinear Caputo fractional differential equations. Zbl 1492.65356
Chen, Yanping; Wang, Lina; Yi, Lijun |
|
2022
|
Delay-dependent elliptic reconstruction and optimal \(L^\infty (L^2)\) a posteriori error estimates for fully discrete delay parabolic problems. Zbl 1506.65141
Wang, Wansheng; Yi, Lijun |
|
2022
|
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels. Zbl 1459.65249
Wang, Lina; Tian, Hongjiong; Yi, Lijun |
|
2021
|
Exponential convergence of the hp-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities. Zbl 1482.65036
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun |
|
2021
|
An \(hp\)-version of \(C^0\)-continuous Petrov-Galerkin time-stepping method for second-order Volterra integro-differential equations with weakly singular kernels. Zbl 1461.65269
Li, Shuangshuang; Wang, Lina; Yi, Lijun |
|
2021
|
An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems. Zbl 1441.65068
Wei, Yichen; Yi, Lijun |
|
2020
|
A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. Zbl 1453.65346
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo |
|
2020
|
An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays. Zbl 1427.65138
Wei, Yichen; Sun, Tao; Yi, Lijun |
|
2020
|
An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations. Zbl 1440.65278
Li, Shuangshuang; Wang, Lina; Yi, Lijun |
|
2020
|
An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. Zbl 1462.65097
Wang, Lina; Yi, Lijun; Jia, Hongli |
|
2020
|
An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays. Zbl 1429.65326
Wang, Lina; Yi, Lijun |
|
2019
|
An \({h}\)-\({p}\) version of the Chebyshev spectral collocation method for nonlinear delay differential equations. Zbl 1416.65179
Meng, Tingting; Wang, Zhongqing; Yi, Lijun |
|
2019
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations. Zbl 1477.65125
Xie, Jinghua; Yi, Lijun |
|
2019
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations. Zbl 1398.65190
Meng, Tingting; Yi, Lijun |
|
2018
|
The \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear Volterra functional integro-differential equations with vanishing delays. Zbl 1408.65040
Yi, Lijun; Guo, Benqi |
|
2018
|
An \(hp\)-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels. Zbl 1364.65299
Wang, Zhong-Qing; Guo, Yu-Ling; Yi, Li-Jun |
|
2017
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations. Zbl 1387.65077
Wang, Lina; Yi, Lijun |
|
2017
|
A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations. Zbl 1379.65054
Yi, Lijun; Wang, Zhongqing |
|
2016
|
A new Galerkin spectral element method for fourth-order boundary value problems. Zbl 1343.65141
Sun, Tao; Yi, Lijun |
|
2016
|
An \(h\)-\(p\) version of the continuous Petrov-Galerkin finite element method for Volterra integro-differential equations with smooth and nonsmooth kernels. Zbl 1330.65206
Yi, Lijun; Guo, Benqi |
|
2015
|
An \(L^\infty\)-error estimate for the \(h\)-\(p\) version continuous Petrov-Galerkin method for nonlinear initial value problems. Zbl 1478.65069
Yi, Lijun |
|
2015
|
An \(h-p\) version of the continuous Petrov-Galerkin finite element method for nonlinear Volterra integro-differential equations. Zbl 1327.65147
Yi, Lijun |
|
2015
|
Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations. Zbl 1282.65126
Yi, Lijun; Wang, Zhongqing |
|
2014
|
An \(h\)-\(p\) Petrov-Galerkin finite element method for linear Volterra integro-differential equations. Zbl 1311.65172
Yi, Lijun; Guo, Benqi |
|
2014
|
Legendre-Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations. Zbl 1306.65238
Yi, Lijun; Wang, Zhongqing |
|
2014
|
A Legendre-Gauss spectral collocation method for second order nonlinear delay differential equations. Zbl 1324.65108
Yi, Lijun; Wang, Zhongqing |
|
2014
|
A Petrov-Galerkin spectral method for fourth-order problems. Zbl 1305.65235
Sun, Tao; Yi, Lijun |
|
2014
|
Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations. Zbl 1278.65161
Yi, Li-Jun; Liang, Zi-Qiang; Wang, Zhong-Qing |
|
2013
|
Local Chebyshev projection-interpolation operator and application to the \(h-p\) version of the finite element method in three dimensions. Zbl 1263.65112
Guo, Benqi; Yi, Lijun |
|
2013
|
A-posteriori error estimation for the Legendre spectral Galerkin method in one-dimension. Zbl 1224.65194
Yi, Lijun; Guo, Benqi |
|
2010
|
Superconvergence of the \(h\)-\(p\) version of the finite element method in one dimension. Zbl 1175.65090
Yi, Lijun; Guo, Benqi |
|
2009
|
