## Yuan, Guangwei

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 Author ID: yuan.guangwei Published as: Yuan, Guangwei; Yuan, Guang-wei; Yuan, Guang-Wei; Yuan, Guang Wei; Yuan, GuangWei more...less
 Documents Indexed: 168 Publications since 1990 Co-Authors: 69 Co-Authors with 149 Joint Publications 2,231 Co-Co-Authors
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### Co-Authors

 10 single-authored 47 Sheng, Zhiqiang 25 Shen, Longjun 21 Zhou, Yulin 13 Shen, Zhijun 13 Yue, Jingyan 12 Hang, Xudeng 9 Cui, Xia 8 Guo, Boling 8 Wang, Shuai 8 Zhu, Shaohong 7 Li, Yonghai 7 Yao, Yanzhong 6 Yan, Wei 6 Yu, Yunlong 5 Zhou, Huifang 4 Chen, Xingding 4 Zhao, Fei 3 Cao, Fujun 3 Chang, Lina 3 Gao, Yanni 3 Jia, Dongxu 3 Lai, Xiang 3 Pan, Kejia 3 Sun, Weiwei 3 Wu, Xiaoxin 2 Chen, Wen 2 Du, Qiang 2 Espinosa, Horacio D. 2 Han, Yongqian 2 Lan, Bin 2 Liu, Zuhan 2 Lv, Junliang 2 Wang, Jiangfu 2 Yang, Hongtao 2 Yang, Xuehua 2 Yu, Boyang 2 Yue, Xiaoqiang 2 Zhang, Yanmei 2 Zhu, Liyong 1 Ahmadabadi, Majid Nili 1 Arrieta, V. 1 Brar, N. S. 1 Chen, Yanli 1 Dai, Zihuan 1 Dwivedi, Sunil K. 1 Fu, Xuedong 1 Gao, Hongjun 1 Gao, Yulong 1 Gao, Zhiming 1 Gong, Yujie 1 Haller, George 1 He, Limin 1 Hong, Zhenying 1 Jiang, Lishang 1 Jin, Shi 1 Liu, Menghuan 1 Liu, T. I. 1 Liu, Xingping 1 Liu, Xuezhe 1 Mo, Zeyao 1 Ren, Jian 1 Shu, Shi 1 Song, Jie 1 Wu, Dan 1 Wu, Jiming 1 Xu, Jinjing 1 Xu, Yufeng 1 Yang, Rong 1 Yang, Xu 1 Yi, Fahuai 1 Yin, Li 1 Yu, Yao 1 Yuan, Dongfang 1 Zavattieri, Pablo D. 1 Zeng, Qinghong 1 Zhang, Haixiang 1 Zhao, Qiang 1 Zuo, Fengli
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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
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### Fields

 137 Numerical analysis (65-XX) 100 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of deformable solids (74-XX) 5 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

### 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.
2000
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
2008
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
2011
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
2008
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
2009
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
2010
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
2007
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
2012
Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107
Guo, Boling; Yuan, Guangwei
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
2007
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
2005
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
2012
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
2016
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
2007
Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
1999
Existence and uniqueness of the $$C^ \alpha$$ solution for the thermistor problem with mixed boundary value. Zbl 0808.35064
Yuan, Guangwei; Liu, Zuhan
1994
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
2009
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
2012
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
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
2009
Regularity of solutions of the thermistor problem. Zbl 0843.35046
Yuan, Guangwei
1994
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
2011
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
2018
Alternating group explicit method for the dispersive equation. Zbl 0960.65085
Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun
2000
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
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
2012
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
2016
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
2009
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
2006
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
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.
2005
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
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
2019
Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099
Yuan, G.; Zhu, S.; Shen, L.
2005
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
2018
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
2001
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
2011
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
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
2007
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2015
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
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
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
2016
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
2010
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2014
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2017
Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091
Yuan, Guangwei; Shen, Longjun
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
2019
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2014
General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097
Zhou, Yulin; Yuan, Guangwei
1997
Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024
Guo, Boling; Yuan, Guangwei
1997
A numerical investigation of penetration in multilayered material/structure systems. Zbl 0939.74576
Espinosa, H. D.; Dwivedi, S.; Zavattieri, P. D.; Yuan, G.
1998
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
2015
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
2018
On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088
Guo, Boling; Yuan, Guangwei
1996
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
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
1997
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
2008
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
2017
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
2018
Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650
Sun, W.; Yuan, Guangwei; Ren, Y.
2000
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
2020
Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057
Zhu, Shaohong; Yuan, Guangwei
2003
Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072
Yuan, Guangwei
1996
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
2016
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
2019
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
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
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
2015
Finite difference method of first boundary problem for quasilinear parabolic systems. III: Stability. Zbl 0857.65089
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1996
Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
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.
2000
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070
Yuan, GuangWei; Sheng, ZhiQiang
2008
Convergence of $$P_ N$$ approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504
Yuan, Guang-wei
2000
Parallel difference schemes for heat conduction equations. Zbl 1047.65075
Yuan, Guangwei; Zuo, Fengli
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
2008
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2019
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
2016
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
2018
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
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
2020
Unconditional stable difference methods with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 1054.65100
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2004
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
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
2019
On the convergence of iterative difference schemes with nonuniform meshes for nonlinear parabolic systems. Zbl 0858.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1996
General difference schemes with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 0936.65102
Zhou, Yulin; Yuan, Guangwei
1999
Unconditional stability of parallel difference schemes with variable time steplengths for heat equations. Zbl 0965.65110
Yuan, Guangwei; Shen, Longjun; Zhu, Shaohong
2000
Convergence of iterative difference schemes for two and three dimensional nonlinear parabolic systems. Zbl 0889.65096
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1997
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104
Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan
2011
Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1997
Initial boundary value problems for Boussinesq equations with $$L^p$$ data. Zbl 1062.35502
Guo, Boling; Yuan, Guangwei
1996
Existence of a weak solution for the phase change problem with Joule’s heating. Zbl 0832.35079
Yuan, Guangwei
1994
Convergence of inner iterations scheme of the discrete ordinate method in spherical geometry. Zbl 1078.65127
Shen, Zhijun; Yuan, Guangwei; Shen, Longjun
2005
Parallel iterative difference schemes based on prediction techniques for $$S_n$$ transport method. Zbl 1190.82039
Yuan, Guangwei; Hang, Xudeng
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
2015
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2020
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2018
A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
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
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
2021
A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei
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
2021
Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307
Yuan, Guangwei
2021
A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328
Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan
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
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
2020
Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117
Zhao, Fei; Cui, Xia; Yuan, Guangwei
2020
A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
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
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
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
2019
Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139
Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang
2019
Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
2019
An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei
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
2019
Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078
Yuan, Guangwei; Yu, Yunlong
2018
Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391
Sheng, Zhiqiang; Yuan, Guangwei
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
2018
A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066
Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei
2018
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
2018
Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei
2018
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei
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
2018
Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
2017
A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2017
A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160
Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei
2017
A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes. Zbl 1383.65100
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
2017
A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582
Sheng, Zhiqiang; Yuan, Guangwei
2016
A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2016
A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114
Sheng, Zhiqiang; Yuan, Guangwei
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
2016
A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083
Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding
2016
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun
2016
A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei
2015
A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080
Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei
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
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
2015
A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2014
A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2014
A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387
Shen, Zhijun; Yan, Wei; Yuan, Guangwei
2014
An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219
Sheng, Zhiqiang; Yuan, Guangwei
2012
A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069
Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang
2012
Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134
Yao, Yanzhong; Yuan, Guangwei
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
2012
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120
Sheng, Zhiqiang; Yuan, Guangwei
2011
Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205
Yue, Jingyan; Yuan, Guangwei
2011
Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082
Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei
2011
A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100
Yuan, Guangwei; Yao, Yanzhong; Yin, Li
2011
An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system. Zbl 1243.65104
Cui, Xia; Yuan, Guang-Wei; Yue, Jing-Yan
2011
Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei
2010
An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
2010
Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115
Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei
2009
Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042
Chang, Lina; Yuan, Guangwei
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
2009
Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065
Zhao, Qiang; Yuan, Guangwei
2009
Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069
Yuan, Guangwei; Sheng, Zhiqiang
2008
A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049
Sheng, Zhiqiang; Yuan, Guangwei
2008
A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100
Sheng, Zhiqiang; Yuan, Guangwei
2008
A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458
Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe
2008
Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070
Yuan, GuangWei; Sheng, ZhiQiang
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
2008
Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096
Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng
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
2007
Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084
Yuan, Guangwei; Sheng, Zhiqiang
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
2007
Parallel iterative difference schemes based on prediction techniques for $$S_n$$ transport method. Zbl 1190.82039
Yuan, Guangwei; Hang, Xudeng
2007
Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080
Yuan, Guangwei; Hang, Xudeng
2006
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
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.
2005
Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099
Yuan, G.; Zhu, S.; Shen, L.
2005
Convergence of inner iterations scheme of the discrete ordinate method in spherical geometry. Zbl 1078.65127
Shen, Zhijun; Yuan, Guangwei; Shen, Longjun
2005
Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116
Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei
2004
Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091
Yuan, Guangwei; Shen, Longjun
2004
Unconditional stable difference methods with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 1054.65100
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
2004
Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057
Zhu, Shaohong; Yuan, Guangwei
2003
Parallel difference schemes for heat conduction equations. Zbl 1047.65075
Yuan, Guangwei; Zuo, Fengli
2003
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
2001
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
2000
Alternating group explicit method for the dispersive equation. Zbl 0960.65085
Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun
2000
Stability condition for difference schemes for parabolic systems. Zbl 0970.65098
Sun, Weiwei; Yuan, Guangwei
2000
Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650
Sun, W.; Yuan, Guangwei; Ren, Y.
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.
2000
Convergence of $$P_ N$$ approximation for the neutron transport equation with reflective boundary condition. Zbl 1045.82504
Yuan, Guang-wei
2000
Unconditional stability of parallel difference schemes with variable time steplengths for heat equations. Zbl 0965.65110
Yuan, Guangwei; Shen, Longjun; Zhu, Shaohong
2000
Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems. Zbl 0942.65097
Yuan, Guangwei; Shen, Longjun; Zhou, Yulin
1999
General difference schemes with intrinsic parallelism for semilinear parabolic systems of divergence type. Zbl 0936.65102
Zhou, Yulin; Yuan, Guangwei
1999
A numerical investigation of penetration in multilayered material/structure systems. Zbl 0939.74576
Espinosa, H. D.; Dwivedi, S.; Zavattieri, P. D.; Yuan, G.
1998
General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097
Zhou, Yulin; Yuan, Guangwei
1997
Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024
Guo, Boling; Yuan, Guangwei
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
1997
Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1997
Convergence of iterative difference schemes for two and three dimensional nonlinear parabolic systems. Zbl 0889.65096
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1997
Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1997
On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088
Guo, Boling; Yuan, Guangwei
1996
Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072
Yuan, Guangwei
1996
Finite difference method of first boundary problem for quasilinear parabolic systems. III: Stability. Zbl 0857.65089
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1996
On the convergence of iterative difference schemes with nonuniform meshes for nonlinear parabolic systems. Zbl 0858.65092
Zhou, Yulin; Shen, Longjun; Yuan, Guangwei
1996
Initial boundary value problems for Boussinesq equations with $$L^p$$ data. Zbl 1062.35502
Guo, Boling; Yuan, Guangwei
1996
Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107
Guo, Boling; Yuan, Guangwei
1995
Existence and uniqueness of the $$C^ \alpha$$ solution for the thermistor problem with mixed boundary value. Zbl 0808.35064
Yuan, Guangwei; Liu, Zuhan
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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### Cited in 26 Fields

 304 Numerical analysis (65-XX) 208 Partial differential equations (35-XX) 105 Fluid mechanics (76-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Classical thermodynamics, heat transfer (80-XX) 11 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 3 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)