Guangwei Yuan

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 29

Top Topics

Diffusion Equation

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

Appl. Math. Comput.

Appl. Math. Lett.

Publications

Zhiqiang Sheng, Guangwei Yuan
A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation. J. Comput. Appl. Math. 436 (2024)
Yujie Gong, Guangwei Yuan, Xia Cui
Analysis on a high accuracy fully implicit solution for strong nonlinear diffusion problem - convergence, stability, and uniqueness. Appl. Math. Comput. 467 (2024)
Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
A positivity-preserving finite volume scheme for multi-group neutron diffusion kinetics equations with delayed neutrons. Comput. Math. Appl. 129 (2023)
Hongtao Yang, Boyang Yu, Yonghai Li, Guangwei Yuan
Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. J. Comput. Phys. 449 (2022)
Jiangfu Wang, Zhiqiang Sheng, Guangwei Yuan
A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations. J. Comput. Appl. Math. 402 (2022)
Kejia Pan, Xiaoxin Wu, Yufeng Xu, Guangwei Yuan
An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems. J. Comput. Phys. 463 (2022)
Yanni Gao, Xudeng Hang, Guangwei Yuan
An optimized sweeping solution method for the three-dimensional Sn equations of neutron transport on hexahedral meshes. J. Comput. Phys. 455 (2022)
Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Comput. Math. Appl. 117 (2022)
Jiangfu Wang, Zhiqiang Sheng, Guangwei Yuan
A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes. Appl. Math. Comput. 398 (2021)
Yujie Gong, Guangwei Yuan, Xia Cui
Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation. Appl. Math. Lett. 117 (2021)
Yulong Gao, Yonghai Li, Guangwei Yuan, Zhiqiang Sheng
New finite volume element methods in the ALE framework for time-dependent convection-diffusion problems in moving domains. J. Comput. Appl. Math. 393 (2021)
Yanni Gao, Guangwei Yuan, Shuai Wang, Xudeng Hang
A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. J. Comput. Phys. 407 (2020)
Yao Yu, Guangwei Yuan, Zhiqiang Sheng, Yonghai Li
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Comput. Math. Appl. 79 (8) (2020)
Fei Zhao, Xia Cui, Guangwei Yuan
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Adv. Comput. Math. 46 (1) (2020)
Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Comput. Math. Appl. 77 (4) (2019)
Yunlong Yu, Xingding Chen, Guangwei Yuan
A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature. SIAM J. Sci. Comput. 41 (1) (2019)
Xuehua Yang, Haixiang Zhang, Qi Zhang, Guangwei Yuan, Zhiqiang Sheng
The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Appl. Math. Lett. 97 (2019)
Lina Chang, Zhiqiang Sheng, Guangwei Yuan
An improvement of the two-point flux approximation scheme on polygonal meshes. J. Comput. Phys. 392 (2019)
Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Appl. Math. Comput. 336 (2018)
Shuai Wang, Xudeng Hang, Guangwei Yuan
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. J. Comput. Phys. 371 (2018)
Dongxu Jia, Zhiqiang Sheng, Guangwei Yuan
A conservative parallel difference method for 2-dimension diffusion equation. Appl. Math. Lett. 78 (2018)
Fujun Cao, Zhiqiang Sheng, Guangwei Yuan
Monotone Finite Volume Schemes for Diffusion Equation with Imperfect Interface on Distorted Meshes. J. Sci. Comput. 76 (2) (2018)
Zhiqiang Sheng, Guangwei Yuan
Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle. SIAM J. Sci. Comput. 40 (1) (2018)
Shuai Wang, Xudeng Hang, Guangwei Yuan
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. J. Comput. Phys. 350 (2017)
Qi Zhang, Zhiqiang Sheng, Guangwei Yuan
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Appl. Math. Comput. 311 (2017)
Zhijun Shen, Wei Yan, Guangwei Yuan
A robust HLLC-type Riemann solver for strong shock. J. Comput. Phys. 309 (2016)
Zhiqiang Sheng, Guangwei Yuan
A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation. J. Sci. Comput. 68 (2) (2016)
Xia Cui, Guangwei Yuan, Zhijun Shen
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. J. Comput. Phys. 313 (2016)
Zhiqiang Sheng, Guangwei Yuan
A new nonlinear finite volume scheme preserving positivity for diffusion equations. J. Comput. Phys. 315 (2016)
Yanli Chen, Yonghai Li, Zhiqiang Sheng, Guangwei Yuan
Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids. J. Sci. Comput. 64 (1) (2015)
Zhijun Shen, Wei Yan, Guangwei Yuan
A robust and contact resolving Riemann solver on unstructured mesh, Part II, ALE method. J. Comput. Phys. 268 (2014)
Zhijun Shen, Wei Yan, Guangwei Yuan
A robust and contact resolving Riemann solver on unstructured mesh, Part I, Euler method. J. Comput. Phys. 268 (2014)
Zhiqiang Sheng, Guangwei Yuan
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. J. Comput. Phys. 231 (9) (2012)
Lina Chang, Guangwei Yuan
An efficient and accurate reconstruction algorithm for the formulation of cell-centered diffusion schemes. J. Comput. Phys. 231 (20) (2012)
Zhiqiang Sheng, Guangwei Yuan
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. J. Comput. Phys. 230 (7) (2011)
Xia Cui, Jing-yan Yue, Guangwei Yuan
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. J. Comput. Appl. Math. 235 (12) (2011)
Xia Cui, Guangwei Yuan, Jing-yan Yue
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. J. Comput. Appl. Math. 236 (2) (2011)
Guangwei Yuan, Yanzhong Yao, Li Yin
A Conservative Domain Decomposition Procedure for Nonlinear Diffusion Problems on Arbitrary Quadrilateral Grids. SIAM J. Sci. Comput. 33 (3) (2011)
Jiming Wu, Zihuan Dai, Zhiming Gao, Guangwei Yuan
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. J. Comput. Phys. 229 (9) (2010)
Charles Thangaraj, Robert Pownall, Phil Nikkel, Guangwei Yuan, Kevin L. Lear, Tom Chen
Fully CMOS-Compatible On-Chip Optical Clock Distribution and Recovery. IEEE Trans. Very Large Scale Integr. Syst. 18 (10) (2010)
Zhiqiang Sheng, Jing-yan Yue, Guangwei Yuan
Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes. SIAM J. Sci. Comput. 31 (4) (2009)
Zhiqiang Sheng, Guangwei Yuan
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes. SIAM J. Sci. Comput. 30 (3) (2008)
Guangwei Yuan, Zhiqiang Sheng
Monotone finite volume schemes for diffusion equations on polygonal meshes. J. Comput. Phys. 227 (12) (2008)
Guangwei Yuan, Zhiqiang Sheng
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. J. Comput. Phys. 224 (2) (2007)
Zhiqiang Sheng, Guangwei Yuan, Xudeng Hang
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Appl. Math. Comput. 184 (2) (2007)
Guangwei Yuan, Shaohong Zhu, Longjun Shen
Domain decomposition algorithm based on the group explicit formula for the heat equation. Int. J. Comput. Math. 82 (10) (2005)
Guangwei Yuan, Zhijun Shen, Longjun Shen
Convergence of inner iterations scheme of the discrete ordinate method for neutron transport equations. Appl. Math. Comput. 138 (1) (2003)
Guangwei Yuan, Fengli Zuo
Parallel Difference Schemes for Heat Conduction Equations. Int. J. Comput. Math. 80 (8) (2003)
Guangwei Yuan, Longjun Shen, Yulin Zhou
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Appl. Math. Comput. 117 (2-3) (2001)
Weiwei Sun, Guangwei Yuan
Stability Condition for Difference Schemes for Parabolic Systems. SIAM J. Numer. Anal. 38 (2) (2000)
Shaohong Zhu, Guangwei Yuan, Longjun Shen
Alternating group explicit method for the dispersive equation. Int. J. Comput. Math. 75 (1) (2000)
Guangwei Yuan, Longjun Shen, Shaohong Zhu
Unconditional stability of parallel difference schemes with variable time steplengths for heat equations. Int. J. Comput. Math. 75 (3) (2000)
Shaohong Zhu, Guangwei Yuan, Longjun Shen
A domain decomposition parallel scheme for the linear dispersive equation. Int. J. Comput. Math. 70 (4) (1999)