Edit Profile (opens in new tab) Yuan, Guangwei Co-Author Distance Author ID: yuan.guangwei Published as: Yuan, Guangwei; Yuan, Guang-wei; Yuan, Guang-Wei; Yuan, Guang Wei; Yuan, GuangWei; Yuan, G. W.; Yuan, G. more...less Documents Indexed: 182 Publications since 1990, including 1 Additional arXiv Preprint Co-Authors: 80 Co-Authors with 171 Joint Publications 2,862 Co-Co-Authors all top 5 Co-Authors 11 single-authored 55 Sheng, Zhiqiang 28 Shen, Longjun 21 Zhou, Yulin 15 Shen, Zhijun 14 Yue, Jingyan 13 Hang, Xudeng 11 Cui, Xia 9 Wang, Shuai 9 Zhu, Shaohong 8 Guo, Boling 8 Li, Yonghai 7 Yao, Yanzhong 7 Yu, Yunlong 7 Zhao, Fei 6 Yan, Wei 6 Zhou, Huifang 4 Chen, Xingding 4 Gao, Yanni 4 Pan, Kejia 4 Wu, Xiaoxin 4 Zhang, Qi 3 Cao, Fujun 3 Chang, Lina 3 Jia, Dongxu 3 Lai, Xiang 3 Lan, Bin 3 Lv, Junliang 3 Sun, Weiwei 3 Yang, Hongtao 3 Yang, Tianjie 3 Yang, Xuehua 2 Chen, Wen 2 Du, Qiang 2 Gong, Yujie 2 Han, Yongqian 2 Hong, Zhenying 2 Li, Jin 2 Liu, Zuhan 2 Wang, Jiangfu 2 Xu, Jinjing 2 Yu, Boyang 2 Yue, Xiaoqiang 2 Zhang, Haixiang 2 Zhang, Yanmei 2 Zhu, Liyong 1 Chen, Yanli 1 Dai, Zihuan 1 Fu, Xuedong 1 Gao, Hongjun 1 Gao, Yulong 1 Gao, Zhiming 1 He, Limin 1 Jiang, Lishang 1 Jin, Shi 1 Kong, Wang 1 Li, Ang 1 Lin, Lei 1 Liu, Menghuan 1 Liu, Xingping 1 Liu, Xuezhe 1 Mo, Zeyao 1 Ren, Jian 1 Ren, Yuhe 1 Ren, Zhengyong 1 Shi, Xueting 1 Shu, Shi 1 Song, Jie 1 Wu, Dan 1 Wu, Jiming 1 Xu, Yufeng 1 Yang, Rong 1 Yang, Xu 1 Yi, Fahuai 1 Yin, Li 1 Yu, Yao 1 Yuan, Dongfang 1 Zeng, Qinghong 1 Zhao, Qiang 1 Zheng, Huan 1 Zuo, Fengli all top 5 Serials 17 Journal of Computational Physics 16 Communications in Computational Physics 10 Mathematica Numerica Sinica 9 Journal of Partial Differential Equations 8 Journal of Computational Mathematics 8 Science in China. Series A 7 Applied Mathematics and Computation 6 Numerical Methods for Partial Differential Equations 5 Computers & Mathematics with Applications 5 Journal of Computational and Applied Mathematics 5 Advances in Mathematics (Beijing) 5 Applied Numerical Mathematics 5 International Journal of Computer Mathematics 5 SIAM Journal on Scientific Computing 5 Journal on Numerical Methods and Computer Applications 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Numerical Analysis and Modeling 3 Advances in Applied Mathematics and Mechanics 2 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Physics 2 International Journal for Numerical Methods in Engineering 2 Acta Mathematicae Applicatae Sinica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Engineering Analysis with Boundary Elements 2 Nonlinear Dynamics 2 Numerical Mathematics: Theory, Methods and Applications 2 Scientia Sinica. Mathematica 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Transport Theory and Statistical Physics 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 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 Wuhan University Journal of Natural Sciences (WUJNS) 1 Computational Geosciences 1 Progress in Natural Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Kinetic and Related Models 1 Science China. Mathematics all top 5 Fields 152 Numerical analysis (65-XX) 116 Partial differential equations (35-XX) 27 Fluid mechanics (76-XX) 10 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,416 times in 595 Documents Cited by ▼ Year ▼ Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069 Yuan, Guangwei; Sheng, Zhiqiang 137 2008 The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120 Sheng, Zhiqiang; Yuan, Guangwei 75 2011 A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049 Sheng, Zhiqiang; Yuan, Guangwei 63 2008 Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115 Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 59 2009 An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219 Sheng, Zhiqiang; Yuan, Guangwei 43 2012 Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096 Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng 36 2007 Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. Zbl 1187.65119 Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei 35 2010 A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582 Sheng, Zhiqiang; Yuan, Guangwei 34 2016 Global smooth solution for the Klein-Gordon-Zakharov equations. Zbl 0845.35107 Guo, Boling; Yuan, Guangwei 34 1995 A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 28 2016 A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069 Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 28 2012 Existence and uniqueness of the \(C^ \alpha\) solution for the thermistor problem with mixed boundary value. Zbl 0808.35064 Yuan, Guangwei; Liu, Zuhan 23 1994 Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391 Sheng, Zhiqiang; Yuan, Guangwei 23 2018 Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205 Yue, Jingyan; Yuan, Guangwei 22 2011 Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078 Yuan, Guangwei; Yu, Yunlong 22 2018 Boundary knot method for Poisson equations. Zbl 1182.74250 Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W. 21 2005 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 21 2012 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 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 19 2009 A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114 Sheng, Zhiqiang; Yuan, Guangwei 19 2016 Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134 Yao, Yanzhong; Yuan, Guangwei 19 2012 Regularity of solutions of the thermistor problem. Zbl 0843.35046 Yuan, Guangwei 18 1994 Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. Zbl 1119.65084 Yuan, Guangwei; Sheng, Zhiqiang 18 2007 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 17 2020 Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042 Chang, Lina; Yuan, Guangwei 17 2009 A stability analysis of hybrid schemes to cure shock instability. Zbl 1373.76144 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 17 2014 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 16 2019 Acceleration methods of nonlinear iteration for nonlinear parabolic equations. Zbl 1111.65080 Yuan, Guangwei; Hang, Xudeng 15 2006 The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 1524.35731 Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang 15 2019 Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081 Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 14 2017 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 A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336 Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 14 2017 A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100 Yuan, Guangwei; Yao, Yanzhong; Yin, Li 12 2011 Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065 Zhao, Qiang; Yuan, Guangwei 12 2009 An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305 Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei 12 2019 Alternating group explicit method for the dispersive equation. Zbl 0960.65085 Zhu, Shaohong; Yuan, Guangwei; Shen, Longjun 12 2000 Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030 Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei 12 2022 A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 11 2014 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 11 2018 Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Zbl 1075.65116 Zhu, Shaohong; Yuan, Guangwei; Sun, Weiwei 11 2004 Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082 Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei 10 2011 The computational method for nonlinear parabolic equation. Zbl 1488.65308 Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun 10 2013 A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 9 2014 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 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 9 2016 A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066 Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 9 2018 A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265 Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 9 2021 A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055 Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2015 An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160 Zhu, Liyong; Yuan, Guangwei; Du, Qiang 8 2010 A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100 Sheng, Zhiqiang; Yuan, Guangwei 8 2008 Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 8 2019 Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139 Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang 8 2019 Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems. Zbl 1067.65091 Yuan, Guangwei; Shen, Longjun 8 2004 Domain decomposition algorithm based on the group explicit formula for the heat equation. Zbl 1079.65099 Yuan, G.; Zhu, S.; Shen, L. 8 2005 Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Zbl 1023.65096 Yuan, Guangwei; Shen, Longjun; Zhou, Yulin 8 2001 A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080 Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 8 2015 Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems. Zbl 1130.65094 Yuan, Guang-Wei; Hang, Xu-Deng; Sheng, Zhi-Qiang 8 2007 Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764 Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei 7 2022 Some practical difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0934.65092 Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 7 1997 Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239 Lv, Junliang; Yuan, Guangwei; Yue, Jingyan 7 2018 A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328 Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan 7 2020 A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 6 2020 A new positive finite volume scheme for two-dimensional convection-diffusion equation. Zbl 07805127 Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei 6 2019 A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083 Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding 6 2016 A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458 Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe 6 2008 Cauchy problem for the Ginzburg-Landau equation for the superconductivity model. Zbl 0894.35024 Guo, Boling; Yuan, Guangwei 6 1997 An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304 Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 6 2019 The uniqueness and stability for difference solutions with nonuniform meshes for nonlinear parabolic systems. Zbl 1495.65156 Yuan, Guang Wei 5 2000 A monotone combination scheme of diffusion equations on polygonal meshes. Zbl 07806604 Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 5 2020 Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451 Yuan, Guangwei 5 2021 General difference schemes with intrinsic parallelism for nonlinear parabolic systems. Zbl 0885.65097 Zhou, Yulin; Yuan, Guangwei 5 1997 Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 5 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 5 2018 Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229 Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei 5 2018 A monotone finite volume scheme for diffusion equations on general non-conforming meshes. Zbl 1426.65160 Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei 4 2017 Finite difference method of first boundary problem for quasilinear parabolic systems. V. Zbl 0903.65071 Zhou, Yulin; Shen, Longjun; Yuan, Guangwei 4 1997 Local existence of bounded solutions to the degenerate Stefan problem with Joule’s heating. Zbl 0846.35072 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 On the suitable weak solutions to the Boussinesq equations in a bounded domain. Zbl 0862.35088 Guo, Boling; Yuan, Guangwei 4 1996 Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117 Zhao, Fei; Cui, Xia; Yuan, Guangwei 4 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 4 2020 A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes. Zbl 1508.65151 Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei 4 2021 A second-order space-time accurate scheme for nonlinear diffusion equation with general capacity term. Zbl 07777676 Zheng, Huan; Yuan, Guangwei; Cui, Xia 4 2020 Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368 Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun 3 2016 Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections. Zbl 1483.65193 Wang, Shuai; Yuan, Guangwei 3 2022 Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093 Sheng, Zhiqiang; Yuan, Guangwei 3 2022 A robust, interpolation-free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes. Zbl 07768046 Wu, Xiaoxin; Pan, Kejia; Li, Jin; Yu, Yunlong; Yuan, Guangwei; Ren, Zhengyong 3 2022 Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281 Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei 3 2022 The finite volume scheme preserving maximum principle for diffusion equations with discontinuous coefficient. Zbl 1437.65168 Yu, Yao; Yuan, Guangwei; Sheng, Zhiqiang; Li, Yonghai 3 2020 Difference schemes with intrinsic parallelism for dispersive equation. Zbl 1057.65057 Zhu, Shaohong; Yuan, Guangwei 3 2003 Iterative algorithms for impressed cathodic protection systems. Zbl 1100.74650 Sun, W.; Yuan, Guangwei; Ren, Y. 3 2000 A monotone finite volume scheme with second order accuracy for convection-diffusion equations on deformed meshes. Zbl 1475.65170 Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei 3 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 3 2021 Initial boundary value problems for Boussinesq equations with \(L^p\) data. Zbl 1062.35502 Guo, Boling; Yuan, Guangwei 2 1996 A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. Zbl 1499.76075 Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei 2 2021 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 Parallel difference schemes for heat conduction equations. Zbl 1047.65075 Yuan, Guangwei; Zuo, Fengli 2 2003 Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307 Yuan, Guangwei 2 2021 A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Zbl 1524.65697 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2022 A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation. Zbl 1523.65087 Sheng, Zhiqiang; Yuan, Guangwei 1 2024 Extremum-preserving correction of the nine-point scheme for diffusion equation on distorted meshes. Zbl 1513.65450 Kong, Wang; Hong, Zhenying; Yuan, Guangwei; Sheng, Zhiqiang 2 2023 A positivity-preserving finite volume scheme for multi-group neutron diffusion kinetics equations with delayed neutrons. Zbl 1524.35211 Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 1 2023 Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. Zbl 1519.65030 Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei 12 2022 Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems. Zbl 07524764 Yang, Hongtao; Yu, Boyang; Li, Yonghai; Yuan, Guangwei 7 2022 Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections. Zbl 1483.65193 Wang, Shuai; Yuan, Guangwei 3 2022 Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes. Zbl 1500.65093 Sheng, Zhiqiang; Yuan, Guangwei 3 2022 A robust, interpolation-free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes. Zbl 07768046 Wu, Xiaoxin; Pan, Kejia; Li, Jin; Yu, Yunlong; Yuan, Guangwei; Ren, Zhengyong 3 2022 Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281 Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei 3 2022 A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes. Zbl 1524.65697 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2022 An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems. Zbl 07536783 Pan, Kejia; Wu, Xiaoxin; Xu, Yufeng; Yuan, Guangwei 2 2022 The corrected finite volume element methods for diffusion equations satisfying discrete extremum principle. Zbl 1505.65286 Li, Ang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei 2 2022 Monotonicity correction for the finite element method of anisotropic diffusion problems. Zbl 1486.65269 Yu, Boyang; Yang, Hongtao; Li, Yonghai; Yuan, Guangwei 1 2022 A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes. Zbl 1484.65287 Pan, Kejia; Li, Jin; Wu, Xiaoxin; Yuan, Guangwei; Yue, Xiaoqiang 1 2022 A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations. Zbl 1498.65191 Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei 1 2022 A nonlinear finite volume scheme preserving maximum principle for diffusion equations. Zbl 1473.65265 Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 9 2021 Diffusion schemes satisfying extremum principle on nonorthogonal meshes. Zbl 1513.65451 Yuan, Guangwei 5 2021 A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes. Zbl 1508.65151 Wang, Jiangfu; Sheng, Zhiqiang; Yuan, Guangwei 4 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 3 2021 A cell-centered ALE method with HLLC-2D Riemann solver in 2D cylindrical geometry. Zbl 1499.76075 Ren, Jian; Shen, Zhijun; Yan, Wei; Yuan, Guangwei 2 2021 Positivity and extremum preserving of nine point schemes for diffusion equations. Zbl 1488.65307 Yuan, Guangwei 2 2021 Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation. Zbl 1471.65101 Gong, Yujie; Yuan, Guangwei; Cui, Xia 2 2021 A conservative gradient discretization method for parabolic equations. Zbl 1488.65362 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2021 Analysis on a numerical scheme with second-order time accuracy for nonlinear diffusion equations. Zbl 1499.65383 Cui, Xia; Yuan, Guangwei; Zhao, Fei 1 2021 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 17 2020 A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle. Zbl 1442.65328 Sheng, Zhiqiang; Yuan, Guangwei; Yue, Jingyan 7 2020 A finite volume method preserving maximum principle for the diffusion equations with imperfect interface. Zbl 1451.65124 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 6 2020 A monotone combination scheme of diffusion equations on polygonal meshes. Zbl 07806604 Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei 5 2020 Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. Zbl 1436.65117 Zhao, Fei; Cui, Xia; Yuan, Guangwei 4 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 4 2020 A second-order space-time accurate scheme for nonlinear diffusion equation with general capacity term. Zbl 07777676 Zheng, Huan; Yuan, Guangwei; Cui, Xia 4 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 3 2020 Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation. Zbl 1443.65152 Zhang, Yanmei; Cui, Xia; Yuan, Guangwei 1 2020 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 16 2019 The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes. Zbl 1524.35731 Yang, Xuehua; Zhang, Haixiang; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang 15 2019 An improvement of the two-point flux approximation scheme on polygonal meshes. Zbl 1452.65305 Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei 12 2019 Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Zbl 1442.65210 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 8 2019 Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients. Zbl 1435.65139 Wu, Dan; Yue, Jingyan; Yuan, Guangwei; Lv, Junliang 8 2019 A new positive finite volume scheme for two-dimensional convection-diffusion equation. Zbl 07805127 Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei 6 2019 An extremum-preserving iterative procedure for the imperfect interface problem. Zbl 1473.65304 Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 6 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 Construction of nonlinear weighted method for finite volume schemes preserving maximum principle. Zbl 1453.65391 Sheng, Zhiqiang; Yuan, Guangwei 23 2018 Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations. Zbl 1384.65078 Yuan, Guangwei; Yu, Yunlong 22 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 11 2018 A conservative parallel difference method for 2-dimension diffusion equation. Zbl 1381.65066 Jia, Dongxu; Sheng, Zhiqiang; Yuan, Guangwei 9 2018 Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239 Lv, Junliang; Yuan, Guangwei; Yue, Jingyan 7 2018 Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Zbl 1427.65213 Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 5 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 5 2018 Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. Zbl 1397.65229 Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei 5 2018 A monotone finite volume scheme with second order accuracy for convection-diffusion equations on deformed meshes. Zbl 1475.65170 Lan, Bin; Sheng, Zhiqiang; Yuan, Guangwei 3 2018 On positivity preservation in nonlinear finite volume method for multi-term fractional subdiffusion equation on polygonal meshes. Zbl 1398.65259 Yang, Xuehua; Zhang, Qi; Yuan, Guangwei; Sheng, Zhiqiang 1 2018 Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes. Zbl 1388.65081 Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 14 2017 A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. Zbl 1380.65336 Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 14 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 2 2017 A new nonlinear finite volume scheme preserving positivity for diffusion equations. Zbl 1349.65582 Sheng, Zhiqiang; Yuan, Guangwei 34 2016 A robust HLLC-type Riemann solver for strong shock. Zbl 1351.76043 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 28 2016 A cell-centered nonlinear finite volume scheme preserving fully positivity for diffusion equation. Zbl 1371.65114 Sheng, Zhiqiang; Yuan, Guangwei 19 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 9 2016 A conservative parallel iteration scheme for nonlinear diffusion equations on unstructured meshes. Zbl 1388.65083 Yu, Yunlong; Yao, Yanzhong; Yuan, Guangwei; Chen, Xingding 6 2016 Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. Zbl 1349.65368 Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun 3 2016 A conservative enforcing positivity-preserving algorithm for diffusion scheme on general meshes. Zbl 1362.65090 Cao, Fu Jun; Yao, Yan Zhong; Yu, Yun Long; Yuan, Guang Wei 1 2016 A positivity-preserving finite volume scheme for diffusion equations on polyhedral meshes. Zbl 1340.76055 Wang, Shuai; Hang, Xudeng; Yuan, Guangwei 8 2015 A finite volume scheme for three-dimensional diffusion equations. Zbl 1388.65080 Lai, Xiang; Sheng, Zhiqiang; Yuan, Guangwei 8 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 17 2014 A robust and contact resolving Riemann solver on unstructured mesh, part I, Euler method. Zbl 1349.76386 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 11 2014 A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method. Zbl 1349.76387 Shen, Zhijun; Yan, Wei; Yuan, Guangwei 9 2014 The computational method for nonlinear parabolic equation. Zbl 1488.65308 Yuan, Guangwei; Yue, Jingyan; Sheng, Zhiqiang; Shen, Longjun 10 2013 An improved monotone finite volume scheme for diffusion equation on polygonal meshes. Zbl 1242.65219 Sheng, Zhiqiang; Yuan, Guangwei 43 2012 A monotone finite volume scheme for advection-diffusion equations on distorted meshes. Zbl 1253.76069 Wang, Shuai; Yuan, Guangwei; Li, Yonghai; Sheng, Zhiqiang 28 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 21 2012 Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations. Zbl 1253.65134 Yao, Yanzhong; Yuan, Guangwei 19 2012 The finite volume scheme preserving the positivity for diffusion equation. Zbl 1488.65358 Yuan, Guangwei; Sheng, Zhiqiang; Yue, Jingyan 1 2012 The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. Zbl 1218.65120 Sheng, Zhiqiang; Yuan, Guangwei 75 2011 Picard-Newton iterative method with time step control for multimaterial non-equilibrium radiation diffusion problem. Zbl 1373.76205 Yue, Jingyan; Yuan, Guangwei 22 2011 A conservative domain decomposition procedure for nonlinear diffusion problems on arbitrary quadrilateral grids. Zbl 1230.65100 Yuan, Guangwei; Yao, Yanzhong; Yin, Li 12 2011 Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system. Zbl 1218.65082 Cui, Xia; Yue, Jing-Yan; Yuan, Guang-Wei 10 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 35 2010 An efficient explicit/implicit domain decomposition method for convection-diffusion equations. Zbl 1196.65160 Zhu, Liyong; Yuan, Guangwei; Du, Qiang 8 2010 Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. Zbl 1195.65115 Sheng, Zhiqiang; Yue, Jingyan; Yuan, Guangwei 59 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 19 2009 Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. Zbl 1227.76042 Chang, Lina; Yuan, Guangwei 17 2009 Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes. Zbl 1229.76065 Zhao, Qiang; Yuan, Guangwei 12 2009 Monotone finite volume schemes for diffusion equations on polygonal meshes. Zbl 1147.65069 Yuan, Guangwei; Sheng, Zhiqiang 137 2008 A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. Zbl 1167.65049 Sheng, Zhiqiang; Yuan, Guangwei 63 2008 A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Zbl 1375.82100 Sheng, Zhiqiang; Yuan, Guangwei 8 2008 A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry. Zbl 1152.76458 Shen, ZhiJun; Yuan, GuangWei; Yue, JingYan; Liu, XueZhe 6 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 Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation. Zbl 1161.65070 Yuan, GuangWei; Sheng, ZhiQiang 2 2008 Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation. Zbl 1121.65096 Sheng, Zhiqiang; Yuan, Guangwei; Hang, Xudeng 36 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 18 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 8 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 15 2006 Boundary knot method for Poisson equations. Zbl 1182.74250 Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W. 21 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 90 Yuan, Guangwei 46 Sheng, Zhiqiang 24 Wu, Jiming 17 Gao, Zhiming 16 Yang, Xuehua 14 Cui, Xia 14 Zhou, Zhongguo 12 Yang, Xiaozhong 12 Zhang, Haixiang 11 Li, Yonghai 11 Shen, Zhijun 9 Gáspár, Csaba 9 Liang, Dong 9 Pan, Kejia 9 Su, Shuai 9 Vassilevski, Yuri V. 9 Wu, Lifei 9 Zhou, Huifang 9 Zhu, Shaohong 8 Chen, Wen 8 Hang, Xudeng 8 Shen, Longjun 8 Shi, Dongyang 8 Yao, Yanzhong 7 Hermeline, François 7 Lyra, Paulo Roberto Maciel 7 Peng, Gang 7 Shu, Shi 7 Sun, Weiwei 7 Wang, Yihong 7 Wu, Xiaoxin 7 Xu, Qiuyan 7 Yu, Yunlong 7 Yue, Jingyan 7 Zhao, Fei 6 Blanc, Xavier 6 Labourasse, Emmanuel 6 Liu, Zhiyong 6 Lv, Junliang 6 Miao, Shuai 6 Pušić, Milenko 6 Wang, Shuai 5 Dehghan Takht Fooladi, Mehdi 5 Dimkić, Milan 5 Dotlić, Milan 5 Feng, Xinlong 5 Hu, Lijun 5 Huang, Weizhang 5 Li, Lin 5 Pokorni, Boris 5 Quenjel, EL Houssaine 5 Tang, Min 5 Vidovic, Dragan 5 Wang, Wenqia 5 Wu, Dan 5 Xie, Wenjia 5 Yang, Jiye 5 Yue, Xiaoqiang 5 Zhang, Zhimin 4 Chang, Lina 4 Contreras, Fernando R. L. 4 de Carvalho, Darlan Karlo Elisiário 4 Dong, Qiannan 4 Fan, Jishan 4 Fu, Zhuojia 4 Gao, Huadong 4 Gao, Yanni 4 Guo, Geyang 4 Lan, Bin 4 Maire, Pierre-Henri 4 Ni, Guoxi 4 Pan, Hao 4 Salehi, Rezvan 4 Terekhov, Kirill M. 4 Tian, Zhengyu 4 Wang, Yan 4 Xie, Hui 4 Xu, Da 4 Xu, Xuejun 4 Xue, Guanyu 4 Yang, Hongtao 4 Yang, Huaijun 4 Yong, Heng 4 Zhai, Chuanlei 4 Zhang, Luming 4 Zhang, Qi 4 Zhang, Ye 4 Zhang, Zhiyue 4 Zhou, Ziyi 3 Carvalho, Darlan K. E. 3 Chen, Xingding 3 Deng, Xi 3 Dong, Cheng 3 Feng, Hui 3 Flemisch, Bernd 3 Gao, Yulong 3 Jia, Dongxu 3 Li, Buyang 3 Lipnikov, Konstantin N. 3 Liu, Bo ...and 722 more Authors all top 5 Cited in 107 Serials 90 Journal of Computational Physics 43 Computers & Mathematics with Applications 35 Applied Mathematics and Computation 33 Communications in Computational Physics 28 Journal of Computational and Applied Mathematics 23 Numerical Methods for Partial Differential Equations 21 Journal of Scientific Computing 17 Engineering Analysis with Boundary Elements 16 Applied Numerical Mathematics 15 Computational and Applied Mathematics 14 International Journal of Computer Mathematics 10 Computers and Fluids 10 Mathematical Methods in the Applied Sciences 10 Applied Mathematics Letters 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Applied Mathematics and Mechanics 8 Mathematics and Computers in Simulation 8 Advances in Difference Equations 7 International Journal for Numerical Methods in Engineering 6 Computer Methods in Applied Mechanics and Engineering 6 Computer Physics Communications 6 International Journal for Numerical Methods in Fluids 6 Advances in Computational Mathematics 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Numerische Mathematik 5 Science in China. Series A 5 Applied Mathematical Modelling 5 SIAM Journal on Scientific Computing 5 Computational Geosciences 4 Journal of Computational Mathematics 4 International Journal of Numerical Analysis and Modeling 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Physica A 3 BIT 3 Journal of Differential Equations 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Mathematicae Applicatae Sinica. English Series 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Journal of Applied Mathematics and Computing 3 East Asian Journal on Applied Mathematics 3 Results in Applied Mathematics 2 Transport Theory and Statistical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Computational Mechanics 2 Numerical Algorithms 2 SIAM Journal on Mathematical Analysis 2 Archive of Applied Mechanics 2 Abstract and Applied Analysis 2 Lobachevskii Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Science China. Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational and Theoretical Transport 2 Communications in Analysis and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Calcolo 1 SIAM Journal on Numerical Analysis 1 Mathematica Numerica Sinica 1 Acta Mathematicae Applicatae Sinica 1 Stochastic Analysis and Applications 1 International Journal of Parallel Programming 1 Linear Algebra and its Applications 1 SIAM Review 1 Vestnik St. Petersburg University. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Acta Mathematica Sinica. English Series 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 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 Inverse Problems in Science and Engineering 1 Networks and Heterogeneous Media 1 International Journal of Computing Science and Mathematics 1 Advances in Mathematical Physics 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 Journal of Function Spaces 1 International Journal of Partial Differential Equations ...and 7 more Serials all top 5 Cited in 30 Fields 500 Numerical analysis (65-XX) 333 Partial differential equations (35-XX) 172 Fluid mechanics (76-XX) 28 Mechanics of deformable solids (74-XX) 28 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 14 Biology and other natural sciences (92-XX) 11 Optics, electromagnetic theory (78-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 5 Astronomy and astrophysics (85-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year