Collocation methods for general Caputo two-point boundary value problems. Zbl 1398.65180
Liang, Hui; Stynes, Martin |
|
2018
|
Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments. Zbl 1209.65091
Liang, Hui; Liu, M. Z.; Lv, Wanjin |
|
2010
|
Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations. Zbl 1357.65011
Liang, Hui; Yang, Zhanwen; Gao, Jianfang |
|
2017
|
Integral-algebraic equations: theory of collocation methods. I. Zbl 1280.65147
Liang, Hui; Brunner, Hermann |
|
2013
|
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Zbl 1204.65110
Liang, Hui; Shi, Dongyang; Lv, Wanjin |
|
2010
|
The convergence of collocation solutions in continuous piecewise polynomial spaces for weakly singular Volterra integral equations. Zbl 1420.65139
Liang, Hui; Brunner, Hermann |
|
2019
|
Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations. Zbl 1193.65121
Liu, M. Z.; Liang, Hui; Yang, Z. W. |
|
2007
|
Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin |
|
2019
|
On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations. Zbl 1356.65261
Liang, Hui; Brunner, Hermann |
|
2016
|
Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays. Zbl 1410.65374
Liang, Hui |
|
2015
|
Strong convergence of the semi-implicit Euler method for nonlinear stochastic Volterra integral equations with constant delay. Zbl 1429.65314
Gao, Jianfang; Liang, Hui; Ma, Shufang |
|
2019
|
Stability of the analytic and numerical solutions for impulsive differential equations. Zbl 1233.65044
Liang, Hui; Song, M. H.; Liu, M. Z. |
|
2011
|
Superconvergence analysis of Wilson element on anisotropic meshes. Zbl 1231.65220
Shi, Dong-Yang; Liang, Hui |
|
2007
|
Analysis of collocation methods for generalized auto-convolution Volterra integral equations. Zbl 1416.65560
Zhang, Ran; Liang, Hui; Brunner, Hermann |
|
2016
|
Integral-algebraic equations: Theory of collocation methods. II. Zbl 1347.65196
Liang, Hui; Brunner, Hermann |
|
2016
|
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann |
|
2020
|
Stability of collocation methods for delay differential equations with vanishing delays. Zbl 1205.65223
Brunner, Hermann; Liang, Hui |
|
2010
|
Collocation methods for impulsive differential equations. Zbl 1364.65155
Zhang, Zuhua; Liang, Hui |
|
2014
|
Influence of Froude number and submergence depth on wave patterns. Zbl 1408.76099
Wu, Huiyu; He, Jiayi; Liang, Hui; Noblesse, Francis |
|
2019
|
Theoretical and numerical analysis of the Euler-Maruyama method for generalized stochastic Volterra integro-differential equations. Zbl 1524.65047
Zhang, Wei; Liang, Hui; Gao, Jianfang |
|
2020
|
Stability analysis of Runge-Kutta methods for systems \(u'(t)=Lu(t)+Mu([t])\). Zbl 1364.65144
Liang, Hui; Liu, M. Z.; Yang, Z. W. |
|
2014
|
Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect. Zbl 1218.65071
Liang, Hui; Liu, Mingzhu; Song, Minghui |
|
2011
|
Multistep collocation approximations to solutions of first-kind Volterra integral equations. Zbl 1387.65131
Zhang, Tingting; Liang, Hui |
|
2018
|
The superconvergence analysis of linear triangular element on anisotropic meshes. Zbl 1142.65426
Shi, Dongyang; Liang, Hui |
|
2007
|
The fine error estimation of collocation methods on uniform meshes for weakly singular Volterra integral equations. Zbl 1456.65184
Liang, Hui; Brunner, Hermann |
|
2020
|
A new multi-domain method based on an analytical control surface for linear and second-order mean drift wave loads on floating bodies. Zbl 1380.76103
Liang, Hui; Chen, Xiaobo |
|
2017
|
On the convergence of multistep collocation methods for integral-algebraic equations of index 1. Zbl 1476.65351
Zhang, Tingting; Liang, Hui; Zhang, Shijie |
|
2020
|
Collocation methods for differential equations with piecewise linear delays. Zbl 1264.65124
Liang, Hui; Brunner, Hermann |
|
2012
|
Discrete superconvergence of collocation solutions for first-kind Volterra integral equations. Zbl 1259.65216
Liang, Hui; Brunner, Hermann |
|
2012
|
Superconvergence analysis of a nonconforming triangular element on anisotropic meshes. Zbl 1142.65085
Shi, Dongyang; Liang, Hui; Wang, Caixia |
|
2007
|
Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations. Zbl 1449.60114
Gao, Jianfang; Ma, Shufang; Liang, Hui |
|
2019
|
Analytical modelling for a three-dimensional hydrofoil with winglets operating beneath a free surface. Zbl 1351.76040
Liang, H.; Sun, L.; Zong, Z.; Zhou, L.; Zou, L. |
|
2013
|
Lifting line theory for wing-in-ground effect in proximity to a free surface. Zbl 1254.76019
Zong, Z.; Liang, H.; Zhou, L. |
|
2012
|
Asymptotic analysis of capillary-gravity waves generated by a moving disturbance. Zbl 1408.76076
Liang, Hui; Chen, Xiaobo |
|
2018
|
New formulations of the ship-motion Green function. Zbl 1408.76098
Ten, Igor; Liang, Hui; Chen, Xiaobo |
|
2018
|
GND accumulation in bi-crystal deformation: crystal plasticity analysis and comparison with experiments. Zbl 1264.74030
Liang, H.; Dunne, F. P. E. |
|
2009
|
Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel. Zbl 1492.65365
Liang, Hui |
|
2022
|
Viscous effects on the fundamental solution to ship waves. Zbl 1430.76083
Liang, Hui; Chen, Xiaobo |
|
2019
|
Higher-order derivatives of the Green function in hyper-singular integral equations. Zbl 1490.76043
Liang, Hui; Shao, Yanlin; Chen, Jikang |
|
2021
|
Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type. Zbl 1513.65521
Gao, Hecong; Liang, Hui |
|
2022
|
A chaotic lattice field theory in one dimension. Zbl 1507.81099
Liang, H.; Cvitanović, P. |
|
2022
|
\(hp\)-Legendre-Gauss collocation method for impulsive differential equations. Zbl 1369.65096
Liang, Hui |
|
2017
|
Regularity of the solution of a nonlinear Volterra integral equation of the second kind. Zbl 1506.45002
Liang, Hui; Stynes, Martin |
|
2023
|
Vortex shedding from a two-dimensional cylinder beneath a rigid wall and a free surface according to the discrete vortex method. Zbl 1297.76064
Liang, H.; Zong, Z.; Zou, L.; Zhou, L.; Sun, L. |
|
2014
|
Wave power extraction from a floating elastic disk-shaped wave energy converter. Zbl 1497.76018
Zheng, Siming; Michele, Simone; Liang, Hui; Meylan, Michael H.; Greaves, Deborah |
|
2022
|
On discontinuous and continuous approximations to second-kind Volterra integral equations. Zbl 1499.65754
Liang, Hui |
|
2022
|
Kelvin-Havelock-Peters approximations to a classical generic wave integral. Zbl 1443.76114
Liang, Hui; Wu, Huiyu; He, Jiayi; Noblesse, Francis |
|
2020
|
Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow. Zbl 1359.76169
Liang, H.; Zong, Z.; Sun, L.; Zou, L.; Zhou, L.; Zhao, Y. J.; Ren, Z. R. |
|
2013
|
Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes. Zbl 1178.65132
Shi, Dongyang; Liang, Hui |
|
2009
|
Collocation methods for a class of integro-differential algebraic equations. Zbl 1499.65778
Zhang, Haiyan; Liang, Hui |
|
2021
|
A subsonic lifting surface theory for wing-in-ground effect. Zbl 1254.76007
Liang, H.; Zong, Z. |
|
2011
|
Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations. Zbl 1540.65561
Li, Yuping; Yang, Zhanwen; Liang, Hui |
|
2022
|
Anisotropic biquadratic element with superclose result. Zbl 1128.65099
Shi, Dongyang; Mao, Shipeng; Liang, Hui |
|
2006
|
Nonlinear steady two-layer interfacial flow about a submerged point vortex. Zbl 1404.76065
Wang, Zhen; Zou, Li; Liang, Hui; Zong, Zhi |
|
2017
|
On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. Zbl 1540.65440
Yuan, Wenping; Liang, Hui; Chen, Yanping |
|
2023
|
Superconvergence and postprocessing of collocation methods for fractional differential equations. Zbl 1530.65187
Wang, Lu; Liang, Hui |
|
2023
|
A novel node placement for long belt coverage in wireless networks. Zbl 1372.90037
Wang, Bang; Xu, Han; Liu, Wenyu; Liang, Hui |
|
2013
|
Finite-time stability and instability of nonlinear impulsive systems. Zbl 1513.34069
Zhao, Guihua; Liang, Hui |
|
2023
|
Regularity of the solution of a nonlinear Volterra integral equation of the second kind. Zbl 1506.45002
Liang, Hui; Stynes, Martin |
|
2023
|
On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. Zbl 1540.65440
Yuan, Wenping; Liang, Hui; Chen, Yanping |
|
2023
|
Superconvergence and postprocessing of collocation methods for fractional differential equations. Zbl 1530.65187
Wang, Lu; Liang, Hui |
|
2023
|
Finite-time stability and instability of nonlinear impulsive systems. Zbl 1513.34069
Zhao, Guihua; Liang, Hui |
|
2023
|
Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel. Zbl 1492.65365
Liang, Hui |
|
2022
|
Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type. Zbl 1513.65521
Gao, Hecong; Liang, Hui |
|
2022
|
A chaotic lattice field theory in one dimension. Zbl 1507.81099
Liang, H.; Cvitanović, P. |
|
2022
|
Wave power extraction from a floating elastic disk-shaped wave energy converter. Zbl 1497.76018
Zheng, Siming; Michele, Simone; Liang, Hui; Meylan, Michael H.; Greaves, Deborah |
|
2022
|
On discontinuous and continuous approximations to second-kind Volterra integral equations. Zbl 1499.65754
Liang, Hui |
|
2022
|
Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations. Zbl 1540.65561
Li, Yuping; Yang, Zhanwen; Liang, Hui |
|
2022
|
Higher-order derivatives of the Green function in hyper-singular integral equations. Zbl 1490.76043
Liang, Hui; Shao, Yanlin; Chen, Jikang |
|
2021
|
Collocation methods for a class of integro-differential algebraic equations. Zbl 1499.65778
Zhang, Haiyan; Liang, Hui |
|
2021
|
Collocation methods for integro-differential algebraic equations with index 1. Zbl 1462.65098
Liang, Hui; Brunner, Hermann |
|
2020
|
Theoretical and numerical analysis of the Euler-Maruyama method for generalized stochastic Volterra integro-differential equations. Zbl 1524.65047
Zhang, Wei; Liang, Hui; Gao, Jianfang |
|
2020
|
The fine error estimation of collocation methods on uniform meshes for weakly singular Volterra integral equations. Zbl 1456.65184
Liang, Hui; Brunner, Hermann |
|
2020
|
On the convergence of multistep collocation methods for integral-algebraic equations of index 1. Zbl 1476.65351
Zhang, Tingting; Liang, Hui; Zhang, Shijie |
|
2020
|
Kelvin-Havelock-Peters approximations to a classical generic wave integral. Zbl 1443.76114
Liang, Hui; Wu, Huiyu; He, Jiayi; Noblesse, Francis |
|
2020
|
The convergence of collocation solutions in continuous piecewise polynomial spaces for weakly singular Volterra integral equations. Zbl 1420.65139
Liang, Hui; Brunner, Hermann |
|
2019
|
Collocation methods for general Riemann-Liouville two-point boundary value problems. Zbl 1415.65168
Liang, Hui; Stynes, Martin |
|
2019
|
Strong convergence of the semi-implicit Euler method for nonlinear stochastic Volterra integral equations with constant delay. Zbl 1429.65314
Gao, Jianfang; Liang, Hui; Ma, Shufang |
|
2019
|
Influence of Froude number and submergence depth on wave patterns. Zbl 1408.76099
Wu, Huiyu; He, Jiayi; Liang, Hui; Noblesse, Francis |
|
2019
|
Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations. Zbl 1449.60114
Gao, Jianfang; Ma, Shufang; Liang, Hui |
|
2019
|
Viscous effects on the fundamental solution to ship waves. Zbl 1430.76083
Liang, Hui; Chen, Xiaobo |
|
2019
|
Collocation methods for general Caputo two-point boundary value problems. Zbl 1398.65180
Liang, Hui; Stynes, Martin |
|
2018
|
Multistep collocation approximations to solutions of first-kind Volterra integral equations. Zbl 1387.65131
Zhang, Tingting; Liang, Hui |
|
2018
|
Asymptotic analysis of capillary-gravity waves generated by a moving disturbance. Zbl 1408.76076
Liang, Hui; Chen, Xiaobo |
|
2018
|
New formulations of the ship-motion Green function. Zbl 1408.76098
Ten, Igor; Liang, Hui; Chen, Xiaobo |
|
2018
|
Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations. Zbl 1357.65011
Liang, Hui; Yang, Zhanwen; Gao, Jianfang |
|
2017
|
A new multi-domain method based on an analytical control surface for linear and second-order mean drift wave loads on floating bodies. Zbl 1380.76103
Liang, Hui; Chen, Xiaobo |
|
2017
|
\(hp\)-Legendre-Gauss collocation method for impulsive differential equations. Zbl 1369.65096
Liang, Hui |
|
2017
|
Nonlinear steady two-layer interfacial flow about a submerged point vortex. Zbl 1404.76065
Wang, Zhen; Zou, Li; Liang, Hui; Zong, Zhi |
|
2017
|
On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations. Zbl 1356.65261
Liang, Hui; Brunner, Hermann |
|
2016
|
Analysis of collocation methods for generalized auto-convolution Volterra integral equations. Zbl 1416.65560
Zhang, Ran; Liang, Hui; Brunner, Hermann |
|
2016
|
Integral-algebraic equations: Theory of collocation methods. II. Zbl 1347.65196
Liang, Hui; Brunner, Hermann |
|
2016
|
Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays. Zbl 1410.65374
Liang, Hui |
|
2015
|
Collocation methods for impulsive differential equations. Zbl 1364.65155
Zhang, Zuhua; Liang, Hui |
|
2014
|
Stability analysis of Runge-Kutta methods for systems \(u'(t)=Lu(t)+Mu([t])\). Zbl 1364.65144
Liang, Hui; Liu, M. Z.; Yang, Z. W. |
|
2014
|
Vortex shedding from a two-dimensional cylinder beneath a rigid wall and a free surface according to the discrete vortex method. Zbl 1297.76064
Liang, H.; Zong, Z.; Zou, L.; Zhou, L.; Sun, L. |
|
2014
|
Integral-algebraic equations: theory of collocation methods. I. Zbl 1280.65147
Liang, Hui; Brunner, Hermann |
|
2013
|
Analytical modelling for a three-dimensional hydrofoil with winglets operating beneath a free surface. Zbl 1351.76040
Liang, H.; Sun, L.; Zong, Z.; Zhou, L.; Zou, L. |
|
2013
|
Generalized Weissinger’s L-method for prediction of curved wings operating above a free surface in subsonic flow. Zbl 1359.76169
Liang, H.; Zong, Z.; Sun, L.; Zou, L.; Zhou, L.; Zhao, Y. J.; Ren, Z. R. |
|
2013
|
A novel node placement for long belt coverage in wireless networks. Zbl 1372.90037
Wang, Bang; Xu, Han; Liu, Wenyu; Liang, Hui |
|
2013
|
Collocation methods for differential equations with piecewise linear delays. Zbl 1264.65124
Liang, Hui; Brunner, Hermann |
|
2012
|
Discrete superconvergence of collocation solutions for first-kind Volterra integral equations. Zbl 1259.65216
Liang, Hui; Brunner, Hermann |
|
2012
|
Lifting line theory for wing-in-ground effect in proximity to a free surface. Zbl 1254.76019
Zong, Z.; Liang, H.; Zhou, L. |
|
2012
|
Stability of the analytic and numerical solutions for impulsive differential equations. Zbl 1233.65044
Liang, Hui; Song, M. H.; Liu, M. Z. |
|
2011
|
Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect. Zbl 1218.65071
Liang, Hui; Liu, Mingzhu; Song, Minghui |
|
2011
|
A subsonic lifting surface theory for wing-in-ground effect. Zbl 1254.76007
Liang, H.; Zong, Z. |
|
2011
|
Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments. Zbl 1209.65091
Liang, Hui; Liu, M. Z.; Lv, Wanjin |
|
2010
|
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. Zbl 1204.65110
Liang, Hui; Shi, Dongyang; Lv, Wanjin |
|
2010
|
Stability of collocation methods for delay differential equations with vanishing delays. Zbl 1205.65223
Brunner, Hermann; Liang, Hui |
|
2010
|
GND accumulation in bi-crystal deformation: crystal plasticity analysis and comparison with experiments. Zbl 1264.74030
Liang, H.; Dunne, F. P. E. |
|
2009
|
Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes. Zbl 1178.65132
Shi, Dongyang; Liang, Hui |
|
2009
|
Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations. Zbl 1193.65121
Liu, M. Z.; Liang, Hui; Yang, Z. W. |
|
2007
|
Superconvergence analysis of Wilson element on anisotropic meshes. Zbl 1231.65220
Shi, Dong-Yang; Liang, Hui |
|
2007
|
The superconvergence analysis of linear triangular element on anisotropic meshes. Zbl 1142.65426
Shi, Dongyang; Liang, Hui |
|
2007
|
Superconvergence analysis of a nonconforming triangular element on anisotropic meshes. Zbl 1142.65085
Shi, Dongyang; Liang, Hui; Wang, Caixia |
|
2007
|
Anisotropic biquadratic element with superclose result. Zbl 1128.65099
Shi, Dongyang; Mao, Shipeng; Liang, Hui |
|
2006
|
