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Author ID: yuan.guangwei Recent zbMATH articles by "Yuan, Guangwei"
Published as: Yuan, Guangwei; Yuan, Guang-wei; Yuan, Guang-Wei; Yuan, Guang Wei; Yuan, GuangWei
Documents Indexed: 168 Publications since 1990
Co-Authors: 69 Co-Authors with 149 Joint Publications
2,231 Co-Co-Authors
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Serials

17 Journal of Computational Physics
15 Communications in Computational Physics
9 Mathematica Numerica Sinica
9 Journal of Partial Differential Equations
8 Science in China. Series A
7 Journal of Computational Mathematics
6 Applied Mathematics and Computation
5 Advances in Mathematics
5 Applied Numerical Mathematics
5 Numerical Methods for Partial Differential Equations
5 International Journal of Computer Mathematics
5 SIAM Journal on Scientific Computing
5 Journal on Numerical Methods and Computer Applications
4 Computers & Mathematics with Applications
4 Journal of Computational and Applied Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Applied Mathematics Letters
3 Journal of Scientific Computing
3 Chinese Journal of Numerical Mathematics and Applications
3 International Journal of Numerical Analysis and Modeling
2 International Journal for Numerical Methods in Fluids
2 International Journal of Solids and Structures
2 Journal of Mathematical Physics
2 Acta Mathematicae Applicatae Sinica
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Engineering Analysis with Boundary Elements
2 Numerical Mathematics: Theory, Methods and Applications
2 Advances in Applied Mathematics and Mechanics
2 Scientia Sinica. Mathematica
1 Applicable Analysis
1 Biological Cybernetics
1 IMA Journal of Applied Mathematics
1 Journal of the Franklin Institute
1 Transport Theory and Statistical Physics
1 International Journal for Numerical Methods in Engineering
1 Meccanica
1 SIAM Journal on Numerical Analysis
1 Journal of Mathematical Research & Exposition
1 Chinese Annals of Mathematics. Series A
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Acta Scientiarum Naturalium Universitatis Normalis Hunanensis
1 SIAM Journal on Mathematical Analysis
1 Acta Mathematica Scientia
1 Acta Mathematica Sinica. New Series
1 Advances in Computational Mathematics
1 Nonlinear Dynamics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Computational Geosciences
1 Progress in Natural Science
1 Discrete and Continuous Dynamical Systems. Series B
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Kinetic and Related Models
1 Journal of Linear and Topological Algebra

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 986 times in 375 Documents Cited by Year
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
116
2000
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
89
2008
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
52
2011
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
40
2008
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
38
2009
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
28
2010
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
28
2007
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
27
2012
Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107
Guo, Boling; Yuan, Guangwei
26
1995
The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408
Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng
20
2007
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
19
2005
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
17
2012
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
16
2016
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
15
2007
Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
14
1999
Existence and uniqueness of the \(C^ \alpha\) solution for the thermistor problem with mixed boundary value. Zbl 0808.35064
Yuan, Guangwei; Liu, Zuhan
14
1994
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
14
2009
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
14
2012
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
14
2016
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
14
2009
Regularity of solutions of the thermistor problem. Zbl 0843.35046
Yuan, Guangwei
13
1994
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
13
2011
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
13
2018
Alternating group explicit method for the dispersive equation. Zbl 0960.65085
Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun
12
2000
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
12
2014
Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
12
2012
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
11
2016
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
10
2009
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
9
2006
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
9
2004
General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059
Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W.
9
2005
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
9
2017
The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 07111520
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang
9
2019
Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099
Yuan, G.; Zhu, S.; Shen, L.
8
2005
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
8
2018
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
7
2001
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
7
2011
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
7
2008
Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094
Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang
7
2007
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2015
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
7
2011
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2018
Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107
Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan
7
2016
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
7
2010
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
7
2014
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2017
Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091
Yuan, Guangwei; Shen, Longjun
6
2004
A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137
Yu, Yunlong; Chen, Xingding; Yuan, Guangwei
6
2019
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
6
2014
General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097
Zhou, Yulin; Yuan, Guangwei
5
1997
Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024
Guo, Boling; Yuan, Guangwei
5
1997
A numerical investigation of penetration in multilayered material/structure systems. Zbl 0939.74576
Espinosa, H. D.; Dwivedi, S.; Zavattieri, P. D.; Yuan, G.
5
1998
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
5
2015
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088
Guo, Boling; Yuan, Guangwei
4
1996
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
4
2000
Finite difference method of first boundary problem for quasilinear parabolic systems. IV: Convergence of iteration. Zbl 0883.65070
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
4
1997
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
4
2008
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
4
2017
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
4
2018
Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650
Sun, W.; Yuan, Guangwei; Ren, Y.
3
2000
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
3
2020
Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057
Zhu, Shaohong; Yuan, Guangwei
3
2003
Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072
Yuan, Guangwei
3
1996
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
3
2016
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
3
2019
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
3
2021
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168
Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai
2
2020
Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205
Chen, Yanli; Li, Yonghai; Sheng, Zhiqiang; Yuan, Guangwei
2
2015
Finite difference method of first boundary problem for quasilinear parabolic systems. III: Stability. Zbl 0857.65089
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2
1996
Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2
1997
Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat. Zbl 1090.74501
Espinosa, H. D.; Brar, N. S.; Yuan, G.; Xu, Y.; Arrieta, V.
2
2000
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070
Yuan, GuangWei; Sheng, ZhiQiang
2
2008
Convergence of \(P_ N\) approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504
Yuan, Guang-wei
2
2000
Parallel difference schemes for heat conduction equations. Zbl 1047.65075
Yuan, Guangwei; Zuo, Fengli
2
2003
A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086
Jin, Shi; Yang, Xu; Yuan, Guangwei
2
2008
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2
2019
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
2
2016
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
2
2018
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
2
2019
A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151
Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang
2
2020
Unconditional stable difference methods with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 1054.65100
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
2004
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
1
2020
Existence of solutions of a positive finite volume scheme for unsteady advection-diffusion equations. Zbl 1449.65221
Zhang, Yanmei; Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
1
2019
On the convergence of iterative difference schemes with nonuniform meshes for nonlinear parabolic systems. Zbl 0858.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1996
General difference schemes with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 0936.65102
Zhou, Yulin; Yuan, Guangwei
1
1999
Unconditional stability of parallel difference schemes with variable time steplengths for heat equations. Zbl 0965.65110
Yuan, Guangwei; Shen, Longjun; Zhu, Shaohong
1
2000
Convergence of iterative difference schemes for two and three dimensional nonlinear parabolic systems. Zbl 0889.65096
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1997
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104
Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan
1
2011
Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1997
Initial boundary value problems for Boussinesq equations with \(L^p\) data. Zbl 1062.35502
Guo, Boling; Yuan, Guangwei
1
1996
Existence of a weak solution for the phase change problem with Joule’s heating. Zbl 0832.35079
Yuan, Guangwei
1
1994
Convergence of inner iterations scheme of the discrete ordinate method in spherical geometry. Zbl 1078.65127
Shen, Zhijun; Yuan, Guangwei; Shen, Longjun
1
2005
Parallel iterative difference schemes based on prediction techniques for \(S_n\) transport method. Zbl 1190.82039
Yuan, Guangwei; Hang, Xudeng
1
2007
A constrained finite element method based on domain decomposition satisfying the discrete maximum principle for diffusion problems. Zbl 1388.65144
Chen, Xingding; Yuan, Guangwei
1
2015
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
1
2020
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
1
2018
A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
1
2017
Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334
Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei
1
2018
Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315
Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang
1
2021
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
3
2021
Two nonlinear positivity-preserving finite volume schemes for three-dimensional heat conduction equations on general polyhedral meshes. Zbl 1474.65315
Liu, Menghuan; Shu, Shi; Yuan, Guangwei; Yue, Xiaoqiang
1
2021
Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307
Yuan, Guangwei
1
2021
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
3
2020
The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168
Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai
2
2020
A new interpolation for auxiliary unknowns of the monotone finite volume scheme for 3D diffusion equations. Zbl 1473.65151
Zhao, Fei; Lai, Xiang; Yuan, Guangwei; Sheng, Zhiqiang
2
2020
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
1
2020
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
1
2020
A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes. Zbl 07504690
Gao, Yanni; Yuan, Guangwei; Wang, Shuai; Hang, Xudeng
1
2020
The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 07111520
Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang
9
2019
A finite volume scheme preserving maximum principle for the system of radiation diffusion equations with three-temperature. Zbl 1426.65137
Yu, Yunlong; Chen, Xingding; Yuan, Guangwei
6
2019
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
3
2019
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2
2019
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
2
2019
Existence of solutions of a positive finite volume scheme for unsteady advection-diffusion equations. Zbl 1449.65221
Zhang, Yanmei; Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei
1
2019
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
13
2018
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
8
2018
A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. Zbl 1415.76483
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2018
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
5
2018
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
4
2018
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
2
2018
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
1
2018
Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. Zbl 1488.65334
Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei
1
2018
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
9
2017
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2017
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
4
2017
A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
1
2017
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
16
2016
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
14
2016
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
11
2016
Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution. Zbl 1339.65107
Cui, Xia; Yuan, Guang-wei; Yue, Jing-yan
7
2016
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
3
2016
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
2
2016
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
7
2015
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
5
2015
Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids. Zbl 1327.65205
Chen, Yanli; Li, Yonghai; Sheng, Zhiqiang; Yuan, Guangwei
2
2015
A constrained finite element method based on domain decomposition satisfying the discrete maximum principle for diffusion problems. Zbl 1388.65144
Chen, Xingding; Yuan, Guangwei
1
2015
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
12
2014
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
7
2014
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
6
2014
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
27
2012
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
17
2012
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
14
2012
Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems. Zbl 1412.65183
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
12
2012
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
52
2011
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
13
2011
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
7
2011
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
7
2011
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104
Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan
1
2011
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
28
2010
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
7
2010
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
38
2009
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
14
2009
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
14
2009
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
10
2009
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
89
2008
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
40
2008
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
7
2008
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
4
2008
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070
Yuan, GuangWei; Sheng, ZhiQiang
2
2008
A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface. Zbl 1146.65086
Jin, Shi; Yang, Xu; Yuan, Guangwei
2
2008
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
28
2007
The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408
Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng
20
2007
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
15
2007
Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094
Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang
7
2007
Parallel iterative difference schemes based on prediction techniques for \(S_n\) transport method. Zbl 1190.82039
Yuan, Guangwei; Hang, Xudeng
1
2007
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
9
2006
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
19
2005
General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059
Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W.
9
2005
Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099
Yuan, G.; Zhu, S.; Shen, L.
8
2005
Convergence of inner iterations scheme of the discrete ordinate method in spherical geometry. Zbl 1078.65127
Shen, Zhijun; Yuan, Guangwei; Shen, Longjun
1
2005
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
9
2004
Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091
Yuan, Guangwei; Shen, Longjun
6
2004
Unconditional stable difference methods with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 1054.65100
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
2004
Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057
Zhu, Shaohong; Yuan, Guangwei
3
2003
Parallel difference schemes for heat conduction equations. Zbl 1047.65075
Yuan, Guangwei; Zuo, Fengli
2
2003
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
7
2001
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
116
2000
Alternating group explicit method for the dispersive equation. Zbl 0960.65085
Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun
12
2000
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
4
2000
Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650
Sun, W.; Yuan, Guangwei; Ren, Y.
3
2000
Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat. Zbl 1090.74501
Espinosa, H. D.; Brar, N. S.; Yuan, G.; Xu, Y.; Arrieta, V.
2
2000
Convergence of \(P_ N\) approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504
Yuan, Guang-wei
2
2000
Unconditional stability of parallel difference schemes with variable time steplengths for heat equations. Zbl 0965.65110
Yuan, Guangwei; Shen, Longjun; Zhu, Shaohong
1
2000
Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
14
1999
General difference schemes with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 0936.65102
Zhou, Yulin; Yuan, Guangwei
1
1999
A numerical investigation of penetration in multilayered material/structure systems. Zbl 0939.74576
Espinosa, H. D.; Dwivedi, S.; Zavattieri, P. D.; Yuan, G.
5
1998
General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097
Zhou, Yulin; Yuan, Guangwei
5
1997
Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024
Guo, Boling; Yuan, Guangwei
5
1997
Finite difference method of first boundary problem for quasilinear parabolic systems. IV: Convergence of iteration. Zbl 0883.65070
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
4
1997
Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2
1997
Convergence of iterative difference schemes for two and three dimensional nonlinear parabolic systems. Zbl 0889.65096
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1997
Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1997
On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088
Guo, Boling; Yuan, Guangwei
4
1996
Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072
Yuan, Guangwei
3
1996
Finite difference method of first boundary problem for quasilinear parabolic systems. III: Stability. Zbl 0857.65089
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2
1996
On the convergence of iterative difference schemes with nonuniform meshes for nonlinear parabolic systems. Zbl 0858.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1
1996
Initial boundary value problems for Boussinesq equations with \(L^p\) data. Zbl 1062.35502
Guo, Boling; Yuan, Guangwei
1
1996
Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107
Guo, Boling; Yuan, Guangwei
26
1995
Existence and uniqueness of the \(C^ \alpha\) solution for the thermistor problem with mixed boundary value. Zbl 0808.35064
Yuan, Guangwei; Liu, Zuhan
14
1994
...and 2 more Documents
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Cited by 528 Authors

69 Yuan, Guangwei
33 Sheng, Zhiqiang
20 Wu, Jiming
12 Gao, Zhiming
10 Cui, Xia
10 Yang, Xiaozhong
8 Shen, Zhijun
7 Su, Shuai
7 Sun, Weiwei
7 Vassilevski, Yuri V.
7 Wang, Yihong
7 Wu, Lifei
7 Zhu, Shaohong
6 Hang, Xudeng
6 Li, Yonghai
6 Liang, Dong
6 Shen, Longjun
6 Shu, Shi
6 Yue, Jingyan
6 Zhou, Huifang
6 Zhou, Zhongguo
5 Huang, Weizhang
5 Pan, Kejia
5 Pušić, Milenko
5 Wang, Shuai
5 Wang, Wenqia
5 Yang, Xuehua
5 Yao, Yanzhong
5 Yu, Yunlong
5 Yue, Xiaoqiang
4 Chang, Lina
4 Dimkić, Milan
4 Dong, Qiannan
4 Dotlić, Milan
4 Fan, Jishan
4 Guo, Geyang
4 Hermeline, François
4 Pokorni, Boris
4 Shi, Dongyang
4 Tang, Min
4 Vidovic, Dragan
4 Wu, Xiaoxin
4 Xie, Wenjia
4 Xue, Guanyu
4 Zhang, Haixiang
4 Zhao, Fei
3 Deng, Xi
3 Feng, Hui
3 Flemisch, Bernd
3 Gao, Huadong
3 Li, Buyang
3 Lipnikov, Konstantin N.
3 Liu, Menghuan
3 Lötstedt, Per
3 Maire, Pierre-Henri
3 Meinecke, Lina
3 Nikitin, Kirill D.
3 Pan, Yueyue
3 Peng, Gang
3 Qiu, Wenlin
3 Quenjel, EL Houssaine
3 Schneider, Martin
3 Svyatsky, Daniil
3 Terekhov, Kirill M.
3 Tian, Zhengyu
3 Xiao, Feng
3 Xie, Hui
3 Xu, Da
3 Xu, Xiangsheng
3 Xu, Xiaowen
3 Xu, Xuejun
3 Yan, Wei
3 Yang, Huaijun
3 Yin, Li
3 Yong, Heng
3 Zhai, Chuanlei
3 Zhang, Luming
3 Zhang, Qingjie
3 Zhang, Ye
3 Zhou, Yulin
2 Arrarás, Andres
2 Beirão da Veiga, Lourenço
2 Cancès, Clément
2 Cao, Fujun
2 Chen, Juan
2 Chen, Xingding
2 Contreras, Fernando R. L.
2 Dai, Zihuan
2 Davami, Parviz
2 Dong, Cheng
2 Droniou, Jérôme
2 Du, Qiang
2 Du, Yulong
2 Feng, Xinlong
2 Gan, Zaihui
2 Gao, Yanni
2 Gao, Yulong
2 Gaspar, Francisco José
2 Ghaleb, Ahmed Fouad
2 Ghilani, Mustapha
...and 428 more Authors
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Cited in 88 Serials

67 Journal of Computational Physics
30 Applied Mathematics and Computation
23 Communications in Computational Physics
21 Computers & Mathematics with Applications
16 Journal of Computational and Applied Mathematics
12 Applied Numerical Mathematics
12 Journal of Scientific Computing
10 Numerical Methods for Partial Differential Equations
10 International Journal of Computer Mathematics
8 Computers and Fluids
7 Applied Mathematics Letters
7 Computational and Applied Mathematics
7 Advances in Difference Equations
7 Advances in Applied Mathematics and Mechanics
6 Mathematics and Computers in Simulation
5 Computer Methods in Applied Mechanics and Engineering
5 Numerische Mathematik
5 Science in China. Series A
5 SIAM Journal on Scientific Computing
5 Computational Geosciences
3 International Journal for Numerical Methods in Fluids
3 Mathematical Methods in the Applied Sciences
3 BIT
3 International Journal for Numerical Methods in Engineering
3 Journal of Differential Equations
3 Journal of Computational Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Advances in Computational Mathematics
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Mathematical Analysis and Applications
2 Physica A
2 Transport Theory and Statistical Physics
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Mathematical Modelling
2 SIAM Journal on Mathematical Analysis
2 Archive of Applied Mechanics
2 Engineering Analysis with Boundary Elements
2 Nonlinear Dynamics
2 Abstract and Applied Analysis
2 Computational Methods in Applied Mathematics
2 International Journal of Numerical Analysis and Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Journal of Computational and Theoretical Transport
1 Applicable Analysis
1 Computer Physics Communications
1 Journal of Mathematical Biology
1 Mathematics of Computation
1 Applied Mathematics and Optimization
1 Calcolo
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Stochastic Analysis and Applications
1 International Journal of Parallel Programming
1 Numerical Algorithms
1 Linear Algebra and its Applications
1 SIAM Review
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Advanced Nonlinear Studies
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 Analysis in Theory and Applications
1 International Journal of Computing Science and Mathematics
1 Journal of Geometric Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 ISRN Applied Mathematics
1 ISRN Computational Mathematics
1 Forum of Mathematics, Sigma
1 Journal of Mathematics
1 East Asian Journal on Applied Mathematics
1 Journal of Function Spaces
1 International Journal of Partial Differential Equations
1 International Journal of Applied and Computational Mathematics
1 Journal of Elliptic and Parabolic Equations
1 Bollettino dell’Unione Matematica Italiana
1 SN Partial Differential Equations and Applications
1 Results in Applied Mathematics
1 International Journal on Finite Volumes

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