薛冠宇｜烟台大学｜学者主页

2026

Construction of nonlinear correction finite volume scheme satisfying extremum principle for diffusion equations with discontinuous and anisotropic coefficient

Yao Yu, Fei Zhao, Guanyu Xue, Feng Wang

Computational and Applied Mathematics

DOI

2026

Global behavior in a chemotaxis system with consumption and logistic source: new insights on parameter $ \alpha $

Liqiong Pu, Cunsai Shen, Guanyu Xue

Communications on Pure &amp Applied Analysis

DOI

2025

Lotka-Volterra竞争模型的高阶紧致有限差分方法

谢安琪，薛冠宇

《烟台大学学报(自然科学与工程版)》

DOI

2025

The unconditional stability scheme for the long-term asymptotic behavior of the Chemotaxis-Consumption model

Weiwei Xie, Xiaojia Ye, Guanyu Xue

Journal of Physics Conference Series

DOI

2025

New Domain Decomposition Algorithm for Convection-Dominated Diffusion Equations with the Samarskii Scheme and the Jacobi Explicit Scheme

Guanyu Xue, Yulong Gao, Yao Yu

Journal of Computational and Theoretical Transport

DOI

2025

A nonlinear correction finite volume scheme preserving maximum principle for diffusion equations with anisotropic and discontinuous coefficient

Yao Yu, Guanyu Xue

Electronic Research Archive

DOI

2024

The Alternating Group Explicit Iterative Method for the Regularized Long-Wave Equation

Anqi Xie, Xiaojia Ye, Guanyu Xue

Journal of Applied Mathematics and Physics

DOI

2022

A Samarskii domain decomposition method for two-dimensional convection–diffusion equations

Guanyu Xue, Yulong Gao

Computational and Applied Mathematics

DOI

2021

Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations

Yunjie Gong, Chuanjun Chen, Yuzhi Lou, Guanyu Xue

East Asian Journal on Applied Mathematics

DOI

2021

Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

Yuzhi Lou, Chuanjun Chen, Guanyu Xue

Advances in Applied Mathematics and Mechanics

DOI

2020

The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations

Guanyu Xue, Yunjie Gong, Hui Feng

Journal of Function Spaces

DOI

2020

An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers’ Equation

Guanyu Xue, Hui Feng

Journal of Computational and Theoretical Transport

DOI

2018

抛物型方程的并行有限差分方法

薛冠宇

《武汉大学》

2018

A new parallel algorithm for solving parabolic equations

Guanyu Xue, Hui Feng

Advances in Differential Equations

DOI

2013

正则长波方程和Rosenau-Burgers方程数值解法的研究

薛冠宇

《东北大学》

2013

广义Rosenau-Burgers方程的一个差分格式

邵新慧，薛冠宇，张铁

《东北大学学报(自然科学版)》

2013

A conservative weighted finite difference scheme for regularized long wave equation

Xinhui Shao, Guanyu Xue, Changjun Li

Applied Mathematics and Computation

DOI

2013

A new finite difference scheme for generalized Rosenau-Burgers equation

Guanyu Xue, Luming Zhang

Applied Mathematics and Computation

DOI

2012

Rosenau-Burgers方程的一个新的差分方法

邵新慧，薛冠宇，沈海龙

《上海交通大学学报》

薛冠宇

精选作品

期刊论文

Construction of nonlinear correction finite volume scheme satisfying extremum principle for diffusion equations with discontinuous and anisotropic coefficient

Global behavior in a chemotaxis system with consumption and logistic source: new insights on parameter $ \alpha $

Lotka-Volterra竞争模型的高阶紧致有限差分方法

The unconditional stability scheme for the long-term asymptotic behavior of the Chemotaxis-Consumption model

New Domain Decomposition Algorithm for Convection-Dominated Diffusion Equations with the Samarskii Scheme and the Jacobi Explicit Scheme

A nonlinear correction finite volume scheme preserving maximum principle for diffusion equations with anisotropic and discontinuous coefficient

The Alternating Group Explicit Iterative Method for the Regularized Long-Wave Equation

A Samarskii domain decomposition method for two-dimensional convection–diffusion equations

Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations

Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations

An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers’ Equation

抛物型方程的并行有限差分方法

A new parallel algorithm for solving parabolic equations

正则长波方程和Rosenau-Burgers方程数值解法的研究

广义Rosenau-Burgers方程的一个差分格式

A conservative weighted finite difference scheme for regularized long wave equation

A new finite difference scheme for generalized Rosenau-Burgers equation

Rosenau-Burgers方程的一个新的差分方法

研究方向