Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid. - Yanping Chen 002 (Adv. Comput. Math., 2006)

A Rectangular Finite Volume Element Method for a Semilinear Elliptic Equation. - Zhiguang Xiong; Yanping Chen 002 (J. Sci. Comput., 2008)

Superconvergence of mixed finite element methods for optimal control problems. - Yanping Chen 002 (Math. Comput., 2008)

A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. - Yanping Chen 002; Nianyu Yi; Wenbin Liu (SIAM J. Numer. Anal., 2008)

Lp error estimates of two-grid schemes of expanded mixed finite element methods. - Yanping Chen 002; Li Li (Appl. Math. Comput., 2009)

A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations. - Huan-Wen Liu; Li-Bin Liu 003; Yanping Chen 002 (Appl. Math. Comput., 2009)

Spectral methods for weakly singular Volterra integral equations with smooth solutions. - Yanping Chen 002; Tao Tang 003 (J. Comput. Appl. Math., 2009)

Superconvergence for Optimal Control Problems Governed by Semi-linear Elliptic Equations. - Yanping Chen 002; Yongquan Dai (J. Sci. Comput., 2009)

Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. - Jianwei Zhou; Yanping Chen 002; Yongquan Dai (Appl. Math. Comput., 2010)

Error estimates of mixed finite element methods for quadratic optimal control problems. - Xiaoqing Xing; Yanping Chen 002; Nianyu Yi (J. Comput. Appl. Math., 2010)

Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems. - Yanping Chen 002; Yunqing Huang; Wenbin Liu; Ningning Yan (J. Sci. Comput., 2010)

Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. - Yanping Chen 002; Tao Tang 003 (Math. Comput., 2010)

Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions. - Li-Bin Liu 003; Huan-Wen Liu; Yanping Chen 002 (Appl. Math. Comput., 2011)

A new smoothing Newton method for solving constrained nonlinear equations. - Liu Yang; Yanping Chen 002; Xiaojiao Tong; Chunlin Deng (Appl. Math. Comput., 2011)

A posteriori error estimates for hp finite element solutions of convex optimal control problems. - Yanping Chen 002; Yijie Lin 002 (J. Comput. Appl. Math., 2011)

A Legendre Galerkin spectral method for optimal control problems. - Yanping Chen 002; Nianshi Xia; Nianyu Yi (J. Syst. Sci. Complex., 2011)

Two improved algorithms and implementation for a singularly perturbed problem on moving meshes. - Qin Zhou; Yanping Chen 002; Yin Yang 003 (J. Syst. Sci. Complex., 2011)

Two-Grid Method for Nonlinear Reaction-Diffusion Equations by Mixed Finite Element Methods. - Luoping Chen; Yanping Chen 002 (J. Sci. Comput., 2011)

A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations. - Yanping Chen 002; Fenglin Huang; Nianyu Yi; Wenbin Liu (SIAM J. Numer. Anal., 2011)

L ∞-estimates of mixed finite element methods for general nonlinear optimal control problems. - Yanping Chen 002; Zuliang Lu (J. Syst. Sci. Complex., 2012)

Variational discretization for parabolic optimal control problems with control constraints. - Yuelong Tang; Yanping Chen 002 (J. Syst. Sci. Complex., 2012)

A posteriori error analysis for a fully discrete discontinuous Galerkin approximation to a kind of reactive transport problems. - Jiming Yang; Yanping Chen 002 (J. Syst. Sci. Complex., 2012)

Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations. - Yunxia Wei; Yanping Chen 002 (J. Sci. Comput., 2012)

Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem. - Yanping Chen 002; Zuliang Lu; Yunqing Huang (Comput. Math. Appl., 2013)

Variational discretization for optimal control problems governed by parabolic equations. - Yanping Chen 002; Tianliang Hou; Nianyu Yi (J. Syst. Sci. Complex., 2013)

A posteriori error estimates for mixed finite element approximation of nonlinear quadratic optimal control problems. - Yanping Chen 002; Zuliang Lu; Min Fu (Optim. Methods Softw., 2013)

A posteriori error estimates for control problems governed by nonlinear elliptic equations in hp-FEM. - Yanping Chen 002; Yijie Lin 002 (Appl. Math. Comput., 2014)

Error estimates and superconvergence of mixed finite element methods for fourth order hyperbolic control problems. - Yanping Chen 002; Chunmei Sun (Appl. Math. Comput., 2014)

Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay. - Li-Bin Liu 003; Yanping Chen 002 (Appl. Math. Comput., 2014)

Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. - Fenglin Huang; Yanping Chen 002 (Comput. Math. Appl., 2014)

Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. - Z. Gu; Yanping Chen 002 (J. Num. Math., 2014)

A Robust Adaptive Grid Method for a System of Two Singularly Perturbed Convection-Diffusion Equations with Weak Coupling. - Li-Bin Liu 003; Yanping Chen 002 (J. Sci. Comput., 2014)

Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension. - Yanping Chen 002; Jianwei Zhou (Appl. Math. Comput., 2015)

A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients. - Yanping Chen 002; Yunqing Huang; Wenbin Liu; Ningning Yan (Comput. Math. Appl., 2015)

Superconvergence of fully discrete rectangular mixed finite element methods of parabolic control problems. - Tianliang Hou; Yanping Chen 002 (J. Comput. Appl. Math., 2015)

An adaptive moving grid method for a system of singularly perturbed initial value problems. - Li-Bin Liu 003; Yanping Chen 002 (J. Comput. Appl. Math., 2015)

Piecewise Legendre spectral-collocation method for Volterra integro-differential equations. - Zhendong Gu; Yanping Chen 002 (LMS J. Comput. Math., 2015)

Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics. - Hanzhang Hu; Yanping Chen 002; Jie Zhou (Comput. Math. Appl., 2016)

Galerkin Spectral Approximation of Elliptic Optimal Control Problems with H1-Norm State Constraint. - Yanping Chen 002; Fenglin Huang (J. Sci. Comput., 2016)

Lp L p Error Estimates of Two-Grid Method for Miscible Displacement Problem. - Yanping Chen 002; Jiaoyan Zeng; Jie Zhou (J. Sci. Comput., 2016)

Two-grid mixed finite element method for nonlinear hyperbolic equations. - Keyan Wang; Yanping Chen 002 (Comput. Math. Appl., 2017)

Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. - Yin Yang 003; Yanping Chen 002; Yunqing Huang; Huayi Wei (Comput. Math. Appl., 2017)

A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems. - Li-Bin Liu 003; Yanping Chen 002 (J. Comput. Appl. Math., 2017)

Convergence and Quasi-Optimality of an Adaptive Finite Element Method for Optimal Control Problems on L2 Errors. - Haitao Leng; Yanping Chen 002 (J. Sci. Comput., 2017)

Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint. - Haitao Leng; Yanping Chen 002 (Adv. Comput. Math., 2018)

A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem. - Jiming Yang; Yanping Chen 002; Yunqing Huang (Appl. Math. Comput., 2018)

A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems. - Chuanjun Chen; Yanping Chen 002; Xin Zhao (Comput. Math. Appl., 2018)

A Two-Level Sparse Grid Collocation Method for Semilinear Stochastic Elliptic Equation. - Luoping Chen; Yanping Chen 002; Xiong Liu (Comput. Methods Appl. Math., 2018)

Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods. - Shang Liu; Yanping Chen 002; Yunqing Huang; Jie Zhou (Int. J. Comput. Math., 2018)

A new weak Galerkin finite element scheme for general second-order elliptic problems. - Guanrong Li; Yanping Chen 002; Yunqing Huang (J. Comput. Appl. Math., 2018)

A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation. - Yunxia Wei; Yanping Chen 002; Xiulian Shi (J. Comput. Appl. Math., 2018)

Two-grid method for compressible miscible displacement problem by CFEM-MFEM. - Jiaoyan Zeng; Yanping Chen 002; Hanzhang Hu (J. Comput. Appl. Math., 2018)

A Fractional Order Collocation Method for Second Kind Volterra Integral Equations with Weakly Singular Kernels. - Haotao Cai; Yanping Chen 002 (J. Sci. Comput., 2018)

Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. - Chuanjun Chen; Kang Li; Yanping Chen 002; Yunqing Huang (Adv. Comput. Math., 2019)

Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost. - Haitao Leng; Yanping Chen 002; Yunqing Huang (Comput. Math. Appl., 2019)

An efficient two grid method for miscible displacement problem approximated by mixed finite element methods. - Shang Liu; Yanping Chen 002; Yunqing Huang; Jie Zhou (Comput. Math. Appl., 2019)

Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method. - Zhikun Tian; Yanping Chen 002; Yunqing Huang; Jianyun Wang (Comput. Math. Appl., 2019)

Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation. - Yunxia Wei; Yanping Chen 002; Yunqing Huang (Comput. Methods Appl. Math., 2019)

A Legendre-Petrov-Galerkin method for solving Volterra integro-differential equations with proportional delays. - Haotao Cai; Yanping Chen 002; Yunqing Huang (Int. J. Comput. Math., 2019)

A priori error estimates of a meshless method for optimal control problems of stochastic elliptic PDEs. - Fenglin Huang; Yanping Chen 002; Yunqing Huang (Int. J. Comput. Math., 2019)

Mortar Element Method for the Time Dependent Coupling of Stokes and Darcy Flows. - Yanping Chen 002; Xin Zhao; Yunqing Huang (J. Sci. Comput., 2019)

A Jacobi Spectral Method for Solving Multidimensional Linear Volterra Integral Equation of the Second Kind. - Yunxia Wei; Yanping Chen 002 (J. Sci. Comput., 2019)

A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. - Hanzhang Hu; Yanping Chen 002; Yunqing Huang (Adv. Comput. Math., 2020)

Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. - Haitao Leng; Yanping Chen 002 (Adv. Comput. Math., 2020)

Curl recovery for the lowest order rectangular edge element. - Peizhen Wang; Yanping Chen 002; Wei Yang 018 (Appl. Math. Comput., 2020)

Corrigendum to "Curl recovery for the lowest order rectangular edge element" [Applied Mathematics and Computation 371 (2020) 124897]. - Peizhen Wang; Yanping Chen 002; Wei Yang 018 (Appl. Math. Comput., 2020)

A two-grid Eulerian-Lagrangian localized adjoint method to miscible displacement problems with dispersion term. - Yang Wang 101; Yanping Chen 002; Yunqing Huang (Comput. Math. Appl., 2020)

Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient. - Jiaoyan Zeng; Yanping Chen 002; Guichang Liu (Comput. Math. Appl., 2020)

hp spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. - Yanping Chen 002; Xiuxiu Lin; Yunqing Huang; Qian Lin (J. Comput. Appl. Math., 2020)

Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method. - Hanzhang Hu; Yanping Chen 002 (J. Comput. Appl. Math., 2020)

A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods. - Yang Wang 101; Yanping Chen 002; Yunqing Huang (Math. Comput. Simul., 2020)

Two-grid methods of finite element solutions for semi-linear elliptic interface problems. - Yanping Chen 002; Qingfeng Li; Yang Wang 101; Yunqing Huang (Numer. Algorithms, 2020)

A posteriori error estimates of hp spectral element methods for optimal control problems with L2-norm state constraint. - Xiuxiu Lin; Yanping Chen 002; Yunqing Huang (Numer. Algorithms, 2020)

A two-grid method for characteristic expanded mixed finite element solution of miscible displacement problem. - Hanzhang Hu; Yanping Chen 002 (Numer. Linear Algebra Appl., 2020)

Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems. - Haitao Leng; Yanping Chen 002 (Adv. Comput. Math., 2021)

A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations. - Bo Tang; Yanping Chen 002; Xiuxiu Lin (Appl. Math. Lett., 2021)

A-posteriori error estimations of the GJF-Petrov-Galerkin methods for fractional differential equations. - Wenting Mao; Yanping Chen 002; Huasheng Wang (Comput. Math. Appl., 2021)

A Petrov-Galerkin spectral method for fractional convection-diffusion equations with two-sided fractional derivative. - Huasheng Wang; Yanping Chen 002; Yunqing Huang; Wenting Mao (Int. J. Comput. Math., 2021)

Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator. - Hanzhang Hu; Yanping Chen 002 (J. Comput. Appl. Math., 2021)

A Family of Two-Grid Partially Penalized Immersed Finite Element Methods for Semi-linear Parabolic Interface Problems. - Yang Wang 101; Yanping Chen 002; Yunqing Huang; Huaming Yi (J. Sci. Comput., 2021)

Two-grid methods for nonlinear time fractional diffusion equations by L1-Galerkin FEM. - Qingfeng Li; Yanping Chen 002; Yunqing Huang; Yang Wang 101 (Math. Comput. Simul., 2021)

A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation. - Zhijun Tan; Kang Li; Yanping Chen 002 (Appl. Math. Comput., 2022)

Immersed finite element method for time fractional diffusion problems with discontinuous coefficients. - Yanping Chen 002; Qingfeng Li; Huaming Yi; Yunqing Huang (Comput. Math. Appl., 2022)

Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection. - Yin Yang 003; Jindi Wang; Yanping Chen 002; Hong-lin Liao (CoRR, 2022)

A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. - Li-Bin Liu 003; Yanping Chen 002 (Int. J. Comput. Math., 2022)

Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. - Yanping Chen 002; Xiuxiu Lin; Yunqing Huang (J. Comput. Appl. Math., 2022)

Compatible L2 norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection. - Yin Yang 003; Jindi Wang; Yanping Chen 002; Hong-lin Liao (J. Comput. Phys., 2022)

A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations. - Wenting Mao; Yanping Chen 002; Huasheng Wang (Numer. Algorithms, 2022)

Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations. - Qiling Gu; Yanping Chen 002; Yunqing Huang (Comput. Appl. Math., 2022)

Optimal convergence analysis of a linearized second-order BDF-PPIFE method for semi-linear parabolic interface problems. - Huaming Yi; Yanping Chen 002; Yang Wang 101; Yunqing Huang (Appl. Math. Comput., 2023)

A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods. - Zhikun Tian; Yanping Chen 002; Jianyun Wang (Comput. Math. Appl., 2023)

A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. - Qiling Gu; Yanping Chen 002; Jianwei Zhou; Yunqing Huang (Int. J. Comput. Math., 2023)

The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes. - Jixiao Guo; Yanping Chen 002; Jianwei Zhou; Yunqing Huang (Int. J. Comput. Math., 2023)

A priori and a posteriori error analysis of hp spectral element discretization for optimal control problems with elliptic equations. - Xiuxiu Lin; Yanping Chen 002; Yunqing Huang (J. Comput. Appl. Math., 2023)

On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. - Wenping Yuan; Hui Liang 001; Yanping Chen 002 (Math. Comput. Simul., 2023)

Efficient algorithm based on two-grid method for semiconductor device problem. - Ying Liu; Yanping Chen 002; Yunqing Huang (Comput. Math. Appl., 2023)

Superconvergence analysis for time-domain Maxwell's equations in a Havriliak-Negami dispersive medium. - Nuodi Liu; Yanping Chen 002; Jianwei Zhou; Yunqing Huang (Appl. Math. Lett., 2023)

Virtual element method for nonlinear Sobolev equation on polygonal meshes. - Wanxiang Liu; Yanping Chen 002; Qiling Gu; Yunqing Huang (Numer. Algorithms, 2023)

Discrete L1 remainder stability of first and second order schemes for a Volterra integro-differential equation. - Wenlin Qiu; Yanping Chen 002; Xu Xiao; Xiangcheng Zheng (Math. Comput. Simul., 2024)

Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem. - Xiuxiu Lin; Yanping Chen 002; Yunqing Huang (J. Nonlinear Sci., 2024)

A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations. - Qiling Gu; Yanping Chen 002; Jianwei Zhou; Jian Huang (Numer. Algorithms, 2024)

Optimal convergence analysis of an energy dissipation property virtual element method for the nonlinear Benjamin-Bona-Mahony-Burgers equation. - Yanping Chen 002; Wanxiang Liu; Fangfang Qin; Qin Liang (Comput. Math. Appl., 2025)

Fast evaluation and robust error analysis of the virtual element methods for time fractional diffusion wave equation. - Jixiao Guo; Yanping Chen 002; Qin Liang (Comput. Math. Appl., 2025)

Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. - Yanping Chen 002; Hanzhang Hu (J. Comput. Appl. Math., 2025)

Optimal convergence analysis of the lowest-order nonconforming virtual element method for general nonlinear parabolic equations. - Yanping Chen 002; Wanxiang Liu; Yang Wang 101; Huaming Yi (J. Comput. Appl. Math., 2025)

Optimal error estimates of second-order weighted virtual element method for nonlinear coupled prey-predator equation. - Yanping Chen 002; Shanshan Peng (J. Comput. Appl. Math., 2025)

Error analysis of two-grid virtual element method for nonlinear parabolic problems on general polygonal meshes. - Xiaohui Wu; Yanping Chen 002; Yang Wang 101 (J. Comput. Appl. Math., 2025)

A continuous Petrov-Galerkin method for time-fractional Fokker-Planck equation. - Zemian Zhang; Yanping Chen 002; Yunqing Huang; Jian Huang; Yanping Zhou (J. Comput. Appl. Math., 2025)

A finite element method for elliptic optimal control problem in the unbounded domain. - Jitong Lin; Yanping Chen 002; Yunqing Huang (J. Appl. Math. Comput., 2025)

Unconditional error estimate of a linearized variable-time-step BDF2 nonconforming virtual element method for nonlinear coupled predator-prey equations. - Shanshan Peng; Yanping Chen 002 (Math. Comput. Simul., 2026)