易利军｜上海师范大学｜学者主页

2026

hp-version Galerkin time-stepping with Laguerre spectral methods for parabolic equations on semi-unbounded domains

Zhe Li, Jie Luo, Lijun Yi

Advances in Computational Mathematics

DOI

2026

hp-version continuous Petrov–Galerkin time-stepping for the diffusive-viscous wave equation: Unconditional stability and optimal a priori error estimates

Jiahui Long, Zhe Li, Lijun Yi

Computer Methods in Applied Mechanics and Engineering

DOI

2026

hp-version space-time Galerkin discretization for fourth-order linear parabolic equations

Zhe Li, Xinghui Yong, Lijun Yi

Journal of Computational and Applied Mathematics

DOI

2026

hp-version $$C^1$$-CPG method with exponential convergence for weakly singular Volterra integro-differential equations

Fujun Liu, Lina Wang, Lijun Yi

Computational and Applied Mathematics

DOI

2025

Space-time Continuous Galerkin Discretization of Linear Parabolic Equations: Error Profile and Postprocessing

Mingzhu Zhang, Lijun Yi

Journal of Scientific Computing

DOI

2025

hp -error analysis of a continuous Petrov–Galerkin time-stepping scheme for linear parabolic equations

Zhe Li, Lijun Yi

ESAIM Mathematical Modelling and Numerical Analysis

DOI

2025

Postprocessing techniques of the $$C^0$$- and $$C^1$$-continuous Petrov-Galerkin methods for second-order Volterra integro-differential equations

Zhe Li, Gaoqing He, Lijun Yi

Journal of Applied Mathematics and Computing

DOI

2024

Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation

Lixiang Jin, Zhaoxiang Li, Peipei Wang, Lijun Yi

Applied Numerical Mathematics

DOI

2024

Postprocessing-Based a Posteriori Error Estimation for Spectral Galerkin Approximations of Fourth-Order Boundary Value Problems

Zhe Li, Tao Sun, Lijun Yi

East Asian Journal on Applied Mathematics

DOI

2024

A superconvergent postprocessing technique for the continuous Galerkin method in solving delay differential equations with nonlinear vanishing delay

Zhe Li, Qunying Tu, Lijun Yi

Computational and Applied Mathematics

DOI

2024

Postprocessing technique of the discontinuous Galerkin method for solving delay differential equations

Qunying Tu, Zhe Li, Lijun Yi

Journal of Applied Mathematics and Computing

DOI

2024

Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

M. Zhang, Lijun Yi

Communications in Computational Physics

DOI

2024

Spectral Collocation Method for Numerical Solution to the Fully Nonlinear Monge-Ampère Equation

Peipei Wang, Lixiang Jin, Zhao-Xiang Li, Li-Jun Yi

Journal of Scientific Computing

DOI

2023

Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

Ang Ge, Jinye Shen, Lijun Yi

Journal of Computational Mathematics

DOI

2023

Superconvergent postprocessing of the C1-conforming finite element method for fourth-order boundary value problems

Yuanyuan Zha, Zhe Li, Lijun Yi

Applied Numerical Mathematics

DOI

2023

Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

Journal of Computational Mathematics

DOI

2023

Superconvergent Postprocessing of the Continuous Galerkin Time Stepping Method for Nonlinear Initial Value Problems with Application to Parabolic Problems

Mingzhu Zhang, Lijun Yi

Journal of Scientific Computing

DOI

2023

Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations

Lijun Yi, Mingzhu Zhang, Xinyu Mao

Journal of Computational and Applied Mathematics

DOI

2022

Exponential Convergence of hp-discontinuous Galerkin Method for Nonlinear Caputo Fractional Differential Equations

Yanping Chen, Lina Wang, Lijun Yi

Journal of Scientific Computing

DOI

2022

Delay-dependent elliptic reconstruction and optimal 𝐿^{∞}(𝐿²) a posteriori error estimates for fully discrete delay parabolic problems

Wansheng Wang, Lijun Yi

Mathematics of Computation

DOI

2021

谱配置法求解常微分方程初值问题的超收敛性

钱轶昀，查媛媛，蔡康文，刘艳勤，王心怡，易利军

《上海师范大学学报(自然科学版中英文)》

2021

Exponential convergence of the hp-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities

Mingzhu Zhang, Xinyu Mao, Lijun Yi

Applied Numerical Mathematics

DOI

2021

An a priori error analysis of the hp -version of the C 0 -continuous Petrov-Galerkin method for nonlinear second-order delay differential equations

Lina Wang, Yichen Wei, Lijun Yi

International Journal of Computer Mathematics

DOI

2021

Superconvergence of spectral collocation method for initial value problem of ordinary differential equations

QIAN Yiyun, ZHA Yuanyuan, Kangwen Cai, LIU Yanqin, WANG Xinyi, Lijun Yi

DOAJ (DOAJ: Directory of Open Access Journals)

DOI

2020

An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels

Lina Wang, Hongjiong Tian, Lijun Yi

Applied Numerical Mathematics

DOI

2020

A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay

Wansheng Wang, Lijun Yi, Aiguo Xiao

Journal of Scientific Computing

DOI

2020

An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems

Yichen Wei, Lijun Yi

Advances in Computational Mathematics

DOI

2020

An hp-version of the C0-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations

Shuangshuang Li, Lina Wang, Lijun Yi

Applied Numerical Mathematics

DOI

2020

An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

S. Li, Lina Wang, Lijun Yi

East Asian Journal on Applied Mathematics

DOI

2020

A STOCHASTIC COLLOCATION METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS AND RANDOM INPUTS

Ling Guo, Lijun Yi

International Journal for Uncertainty Quantification

DOI

2019

An h–p Version of the Discontinuous Galerkin Method for Volterra Integro-Differential Equations with Vanishing Delays

Lina Wang, Lijun Yi

Journal of Scientific Computing

DOI

2019

An h-p version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations

Jinghua Xie, Lijun Yi

Applied Numerical Mathematics

DOI

2019

An hp -version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays

Yichen Wei, Tao Sun, Lijun Yi

Journal of Computational and Applied Mathematics

DOI

2018

An h – p version of the Chebyshev spectral collocation method for nonlinear delay differential equations

Tingting Meng, Zhongqing Wang, Lijun Yi

Numerical Methods for Partial Differential Equations

DOI

2018

The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays

Lijun Yi, Benqi Guo

International Journal of Numerical Analysis and Modeling

DOI

2017

An h-p Version of the Continuous Petrov–Galerkin Method for Nonlinear Delay Differential Equations

Tingting Meng, Lijun Yi

Journal of Scientific Computing

DOI

2017

An h-p version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations

Lina Wang, Lijun Yi

Advances in Computational Mathematics

DOI

2016

An ℎ𝑝-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels

Zhongqing Wang, Yuling Guo, Lijun Yi

Mathematics of Computation

DOI

2015

An $$h$$ h – $$p$$ p Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations

Lijun Yi

Journal of Scientific Computing

DOI

2015

An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels

Lijun Yi, Benqi Guo

SIAM Journal on Numerical Analysis

DOI

2015

A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

Lijun Yi, Zhongqing Wang

CALCOLO

DOI

2015

A new Galerkin spectral element method for fourth-order boundary value problems

Tao Sun, Lijun Yi

International Journal of Computer Mathematics

DOI

2015

An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems

Lijun Yi

East Asian Journal on Applied Mathematics

DOI

2014

Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

Lijun Yi, Zhongqing Wang

Numerical Mathematics Theory Methods and Applications

DOI

2014

An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations

Lijun Yi, Benqi Guo

Science China Mathematics

DOI

2013

混合网格下的有限元特征值重构

孟令雄，梁洪辉，易利军

《应用数学与计算数学学报》

2013

四阶混合非齐次边值问题的Petrov-Galerkin谱方法

孙涛，易利军

《数学的实践与认识》

2013

Legendre spectral collocation method for second-order nonlinearordinary/partial differential equations

Lijun Yi, Zhongqing Wang

Discrete and Continuous Dynamical Systems - B

DOI

2013

A Legendre-Gauss Collocation Method for the Multi-Pantograph Delay Differential Equation

Jian Ming Zhang, Lijun Yi

Applied Mechanics and Materials

DOI

2013

Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations

Lijun Yi, Zhongqing Wang

International Journal of Computer Mathematics

DOI

2013

A Petrov-Galerkin spectral method for fourth-order problems

Tao Sun, Lijun Yi

Mathematical Methods in the Applied Sciences

DOI

2013

Legendre–Gauss–Lobatto spectral collocation method for nonlinear delay differential equations

Lijun Yi, Liang Zi‐qiang, Zhongqing Wang

Mathematical Methods in the Applied Sciences

DOI

2012

On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements

Lijun Yi

Applied Numerical Mathematics

DOI

2012

LOCAL CHEBYSHEV PROJECTION–INTERPOLATION OPERATOR AND APPLICATION TO THE h–p VERSION OF THE FINITE ELEMENT METHOD IN THREE DIMENSIONS

Benqi Guo, Lijun Yi

Mathematical Models and Methods in Applied Sciences

DOI

2012

The convergence rate of p and h-p FEM for three dimensional elasticity problems on L-shape domain

Jianming zhang, Lijun Yi

Procedia Engineering

DOI

2010

非齐次Dirichlet边值问题的h-p型有限元方法

易利军

《上海师范大学》

2009

A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension

Lijun Yi

Numerical Mathematics Theory Methods and Applications

DOI

2009

Superconvergence of the h - p version of the finite element method in one dimension

Lijun Yi, Benqi Guo

Journal of Computational and Applied Mathematics

DOI

2007

一维非光滑解有限元逼近的超收敛性及后处理

易利军

《湖南师范大学》

2006

二维投影型插值的各向异性

易利军，朱起定

《湖南文理学院学报(自然科学版)》

精选作品

期刊论文

hp-version Galerkin time-stepping with Laguerre spectral methods for parabolic equations on semi-unbounded domains

hp-version continuous Petrov–Galerkin time-stepping for the diffusive-viscous wave equation: Unconditional stability and optimal a priori error estimates

hp-version space-time Galerkin discretization for fourth-order linear parabolic equations

hp-version $$C^1$$-CPG method with exponential convergence for weakly singular Volterra integro-differential equations

Space-time Continuous Galerkin Discretization of Linear Parabolic Equations: Error Profile and Postprocessing

hp -error analysis of a continuous Petrov–Galerkin time-stepping scheme for linear parabolic equations

Postprocessing techniques of the $$C^0$$- and $$C^1$$-continuous Petrov-Galerkin methods for second-order Volterra integro-differential equations

Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation

Postprocessing-Based a Posteriori Error Estimation for Spectral Galerkin Approximations of Fourth-Order Boundary Value Problems

A superconvergent postprocessing technique for the continuous Galerkin method in solving delay differential equations with nonlinear vanishing delay

Postprocessing technique of the discontinuous Galerkin method for solving delay differential equations

Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

Spectral Collocation Method for Numerical Solution to the Fully Nonlinear Monge-Ampère Equation

Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

Superconvergent postprocessing of the C1-conforming finite element method for fourth-order boundary value problems

Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

Superconvergent Postprocessing of the Continuous Galerkin Time Stepping Method for Nonlinear Initial Value Problems with Application to Parabolic Problems

Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations

Exponential Convergence of hp-discontinuous Galerkin Method for Nonlinear Caputo Fractional Differential Equations

Delay-dependent elliptic reconstruction and optimal 𝐿^{∞}(𝐿²) a posteriori error estimates for fully discrete delay parabolic problems

谱配置法求解常微分方程初值问题的超收敛性

Exponential convergence of the hp-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities

An a priori error analysis of the hp -version of the C 0 -continuous Petrov-Galerkin method for nonlinear second-order delay differential equations

Superconvergence of spectral collocation method for initial value problem of ordinary differential equations

An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels

A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay

An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems

An hp-version of the C0-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations

An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

A STOCHASTIC COLLOCATION METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS AND RANDOM INPUTS

An h–p Version of the Discontinuous Galerkin Method for Volterra Integro-Differential Equations with Vanishing Delays

An h-p version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations

An hp -version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays

An h – p version of the Chebyshev spectral collocation method for nonlinear delay differential equations

The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays

An h-p Version of the Continuous Petrov–Galerkin Method for Nonlinear Delay Differential Equations

An h-p version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations

An ℎ𝑝-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels

An $$h$$ h – $$p$$ p Version of the Continuous Petrov–Galerkin Finite Element Method for Nonlinear Volterra Integro-Differential Equations

An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels

A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

A new Galerkin spectral element method for fourth-order boundary value problems

An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems

Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations

混合网格下的有限元特征值重构

四阶混合非齐次边值问题的Petrov-Galerkin谱方法

Legendre spectral collocation method for second-order nonlinearordinary/partial differential equations

A Legendre-Gauss Collocation Method for the Multi-Pantograph Delay Differential Equation

Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations

A Petrov-Galerkin spectral method for fourth-order problems

Legendre–Gauss–Lobatto spectral collocation method for nonlinear delay differential equations

On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements

LOCAL CHEBYSHEV PROJECTION–INTERPOLATION OPERATOR AND APPLICATION TO THE h–p VERSION OF THE FINITE ELEMENT METHOD IN THREE DIMENSIONS

The convergence rate of p and h-p FEM for three dimensional elasticity problems on L-shape domain

非齐次Dirichlet边值问题的h-p型有限元方法

A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension

Superconvergence of the h - p version of the finite element method in one dimension

一维非光滑解有限元逼近的超收敛性及后处理

二维投影型插值的各向异性

预印本

$hp$-version $C^1$-continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations

研究方向