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1.Shuai Wang, Xudeng Hang, Guangwei Yuan, A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes, J. Comput. Phys., 350 (2017) 590¨C606.

2.Xiang Lai, Zhiqiang Sheng and Guangwei Yuan, Monotone finite volume scheme for three dimensional diffusion equation on tetrahedral meshes., Commun. Comput. Phys. 21(2017), 162-181.

3.Rong Yang, Guangwei Yuan, h-Refinement for simple corner balance scheme of SN transport equation on distorted meshes, Journal of Quantitative Spectroscopy & Radiative Transfer,184 (2016), 241-253.

4.Z. Sheng, G. Yuan, A new nonlinear ﬁnite volume scheme preserving positivity for diffusion equations, J. Comput. Phys. (2016), Volume 315, Issue C, 15 June 2016, Pages 182¨C193.

5.Z. Sheng, G. Yuan, A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation, J. Sci. Comput., 2016, Volume 68, Issue 2, pp 521¨C545.

6.Guangwei Yuan and Yanzhong Yao, Parallelization Methods for Solving Three-temperature Radiation-hydrodynamic Problems, Discrete and Continuous Dynamical Systems B, Vol. 21, No. 5, 2016, 1651-1668.

7.Xia Cui, Guangwei Yuan, Zhijun Shen, Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion, J. Comput. Phys., 313 (2016) 415¨C429.

8.Xiang Lai, Zhiqiang Sheng and Guangwei Yuan, A Finite Volume Scheme for Three-Dimensional Diffusion Equations, Communications in Computational Physics, Volume 18, Issue 03, 2015, pp 650-672.

9.Xingding Chen and Guangwei Yuan, A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems, Communications in Computational Physics, Volume 18, Issue 02, 2015, pp 297 ¨C 320.

10.Z. J. Shen, W. Yan, G. W. Yuan, A Stability Analysis of Hybrid Schemes to Cure Shock Instability, Commun.Comput. Phys., 15(5), 2014, 1320-1342.

11.Z. J. Shen, W. Yan, G. W. Yuan, A robust and contact resolving Riemann solver on unstructured mesh, Part I, Euler method, J. Comput. Phys., 268 (2014), 432-455.

12.Z. J. Shen, W. Yan, G. W. Yuan, A robust and contact resolving Riemann solver on unstructured mesh, Part II, ALE method, J. Comput. Phys., 268 (2014), 456-484.

13.Shuai Wang, Guangwei Yuan, Yonghai Li and Zhiqiang Sheng, A monotone finite volume scheme for advection¨Cdiffusion equations on distorted meshes, Int. J. Numer. Meth. Fluids, 2012,69 (7):1283-1298.

14.S. Wang, G. Yuan, Y. Li, Z. Sheng, Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems, Int. J. Numer. Meth. Fluids, 70 (9): 1188-1205, 2012

15.Lina Chang, Guangwei Yuan, An efficient and accurate reconstruction algorithm for the formulation of cell-centered diffusion schemes, J. Comput. Phys., 231 (2012) 6935-6952.

16.Z. Sheng, G. Yuan, An improved monotone finite volume scheme for diffusion equation on polygonal meshes, J. Comput. Phys., 231 (2012) 3739-3754.

17.Y. Yao, G. Yuan, Enforcing Positivity with Conservation for Nine-Point Scheme of Nonlinear Diffusion Equations, Comput. Methods Appl. Mech. Engrg., 223-224 (2012) 161¨C172.

18.Guangwei Yuan, Yanzhong Yao, Li Yin, Conservative Domain Decomposition Procedure for Nonlinear Diffusion Problems on Arbitrary Quadrilateral Grids, SIAM J. Sci. Comput. 33(3), 2011, 1352-1368.

19.Zhiqiang Sheng and Guangwei Yuan, The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes, Journal of Computational Physics, 230, 2011, 2588-2604.

20.Jingyan Yue, Guangwei Yuan, Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-equilibrium Radiation Diffusion Problem, Commun. Comput. Phys., 10(4), 2011, 844-866.

21.Jiming Wu, Zihuan Dai, Zhiming Gao, Guangwei Yuan, Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes, Journal of Computational Physics, Volume 229, Issue 9, 1 May 2010, Pages 3382-3401.

22.Lina Chang, Guangwei Yuan, Cell-centered ﬁnite volume methods with ﬂexible stencils for diffusion equations on general nonconforming meshes, Comput. Methods Appl. Mech. Engrg., 198 (2009) 1638¨C1646.

23.Qiang Zhao, Guangwei Yuan£¬Analysis and construction of cell-centered ﬁnite volume scheme for diffusion equations on distorted meshes, Comput. Methods Appl. Mech. Engrg. 198 (2009) 3039¨C3050.

24.Zhiqiang Sheng, Jingyan Yue and Guangwei Yuan, Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes, SIAM J. Sci. Comput., Vol. 31, No. 4, pp. 2915¨C2934, 2009.

25.Zhenying Hong, Guangwei Yuan, A Parallel Algorithm with Interface Prediction and Correction for Spherical Geometric Transport Equation, Progress in Nuclear Energy£¬51 (2009), pp. 268-273.

26.Zhiqiang Sheng and Guangwei Yuan, A Finite Volume Scheme for Diffusion Equations on Distorted Quadrilateral Meshes, Transport Theory and Statistical Physics, 37:2,171 -207£¬2008.

27.Zhiqiang Sheng, Guangwei Yuan, A Nine Point Scheme for Approximating Diffusion Operators on Distorted Quadrilateral Meshes, SIAM Journal on Scientific Computing, 30 (2008), pp. 1341-1361.

28.Guangwei Yuan and Zhiqiang Sheng, Monotone finite volume schemes for diffusion equations on polygonal meshes, J. Comput. Phys., 227 (2008) 6288-6312.

29.Guangwei Yuan, Zhiqiang Sheng, Analysis of Accuracy of a Finite Volume Scheme for Diffusion Equations on Distorted Meshes, Journal of Computational Physics, 224(2), 2007, 1170-1189.

30.Guangwei Yuan, Xudeng Hang, Parallel iterative difference schemes based on prediction techniques for Sn transport method, Applied Numerical Mathematics, (2007) Vol. 57, 746-752.

31.Guangwei Yuan, Xudeng Hang, Zhiqiang Sheng, Parallel dierence schemes with interface extrapolation terms for quasi-linear parabolic systems, Science in China Series A: Mathematics, 50(2), 2007, 253-275.

32.Guangwei Yuan and Xudeng Hang, Acceleration methods of nonlinear iteration for nonlinear parabolic equations, Journal of Computational Mathematics, 24 (2006), 412¨C424.

33.Guangwei Yuan, Longjun Shen, Stability and convergence of the explicit--implicit conservative domain decomposition procedure for parabolic problems, Computer and Mathematics with Application£¬47 (2004), 793¨C801.

34.Guangwei Yuan, Fengli Zuo, Parallel Differences Schemes for Heat Conduction Equation£¬International Journal of Computer Mathematics, 80 (2003), 995¨C999.

35.Weiwei Sun,Guangwei Yuan, Stability Condition of Difference Schemes for Parabolic Systems, SIAM J. Numer. Anal., 38 (2000), pp.548-555.

36.Weiwei Sun, Guangwei Yuan, Y. Ren, Iterative Algorithms for Impressed Cathodic Protection Systems, International Journal for Numerical Methods in Engineering, 49 (2000), pp. 751-768.

37.Guangwei Yuan, Longjun Shen, Shaohong Zhu, Unconditional Stability of Parallel Difference Schemes with Variable Time Steplengthes for Heat Equations, International Journal of Computer Mathematics, Vol. 75 (2000), pp. 315--322.

38.Guangwei Yuan, Convergence of PN Approximation for the Neutron Transport Equations with Reflective Boundary Condition, Journal of Mathematical Physics, Volume 41 (2000), pp. 867-874.

39.Zhou Y L, Yuan G W, Difference method of general schemes with intrinsic parallelism for one-dimensional quasilinear parabolic systems with bounded meseaurable coefficients, J. Part. Diff. Eq., 1999, 12: 213¨C228.

40.Zhou Y L, Yuan G W, General difference schemes with intrinsic parallelism for semilinear parabolic systems of divergence type, J. Comput Math, 1999, 17: 337¨C352.

41.Yuan G W, Shen L J, Zhou Y L, Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems, Numer Methods Partial Differential Equations, 1999, 15: 625¨C636.

42.Zhou Y L, Shen L J, Yuan G W. Convergence of iterative difference method with nonuniform meshes for quasilinear parabolic systems, J. Part. Diff. Eq., 1998, 11: 163¨C172.

43.Yulin Zhou, Guangwei Yuan, General difference schemes with intrinsic parallelism for nonlinear parabolic systems, Science in China Series A: Mathematics, 1997, Volume 40, Issue 4, pp 357¨C365.

44.Guo Boling and Yuan Guangwei, Cauchy problem for the Ginzburg-Landau equation for the superconductivity model, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Volume 127, Issue 6, 1997, pp. 1181-1192.

45.Guo Boling and Yuan Guangwei, The Cauchy problem for the system of Zakharov equations arising from ion-acoustic modes, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Volume 126, Issue 4, 1996, pp. 811-820.

46.Guo Boling and Yuan Guangwei, On the suitable weak solutions for the Cauchy problem of the Boussinesq equations, Nonlinear Analysis: Theory, Methods & Applications, Volume 26, Issue 8, 1996, pp 1367-1385.

47.Guo Boling and Yuan Guangwei, Global smooth solution for the Klein¨CGordon¨CZakharov equations, Journal of Mathematical Physics 36, 4119 (1995).

48.Yuan Guangwei, The existence and uniqueness of the weak solution for the evolutionary electrochemical machining problem, J. Part. Diff. Eq., 8 (1995), pp. 297-309.

49.Guangwei Yuan and Zuhan Liu, Existence and Uniqueness of the $C^\alpha$ Solution for the Thermistor Problem with Mixed Boundary Value, SIAM J. Math. Anal., 25(4), 1157¨C1166 (1994).

50.Guangwei Yuan, Existence and uniqueness of the classical solution for the steady-state electrochemical machining problem, IMA Journal of Applied Mathematics, Volume 53, Issue 2, 1994, Pages 173¨C190.

51.Guangwei Yuan, Regularity of solutions of the thermistor problem, Applicable Analysis, Vol. 53, Iss. 3-4,1994.

52.Yuan Guangwei, Existence of a weak solution for the phase change problem with Joule's heating, J. Part. Diff. Eq., 7 (1994), pp. 35-48.

53.Lishang Jiang, Guangwei Yuan, Fahuai Yi, A free boundary problem arising in oil production, Meccanica,1993, Volume 28, Issue 2, pp 111¨C115.