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计算数学教研室--盛志强

姓名:盛志强

座机:010-61935170

邮箱:sheng_zhiqiang@iapcm.ac.cn

职称:研究员

导师资格:博导


导师简介:

盛志强,男,北京应用物理与计算数学研究所研究员,博士生导师。2007年6月毕业于中国工程物理研究院研究生部,获博士学位。毕业后进入北京应用物理与计算数学研究所计算物理实验室工作,2008-2010年在法国巴黎第六大学做博士后研究。主要从事辐射流体力学计算方法研究及程序研制工作。已出版专著1本,发表SCI论文60余篇。曾获中国工程物理研究院首届科技创新奖一等奖。现为邓稼先创新研究中心复杂流体数值模拟研究团队负责人,中国数学会理事,中国工业与应用数学学会副秘书长,《计算数学》杂志编委。


研究方向简介:

主要针对国家重大需求数值模拟中存在的问题开展计算方法研究,包括有限体积方法和机器学习方法等,解决现有计算方法在健壮性、守恒性、极值性、计算精度以及效率等方面的关键难点问题。


主要研究成果:

专著:

1. 袁光伟,盛志强,杭旭登,姚彦忠,常利娜,岳晶岩,扩散方程计算方法,科学出版社,2015.


论文:

1.Z. Xu, ZSheng*, Subspace method based on neural networks for solving the partial differential equation, arXiv:2404.08223.

2.P. Liu, Z. Xu, Z. Sheng*, Subspace method based on neural networks for solving the partial differential equation in weak form, arXiv:2405.08513.

3.H. Zhou, Z. Sheng*, Improved randomized neural network methods with boundary processing for solving elliptic equations, Commun. Comput. Phys., 2025.

4.H. Tian, X. Wang, Z. Sheng*, A maximum principle preserving meshfree method for anisotropic diffusion equations, J. Comput. Phy. 518(2024)113346.

5.W. Kong, Z. Hong, G. Yuan, Z. Sheng*, Monotonicity corrections for nine-point scheme of diffusion equations, J. ComputMath., 42(2024) 1305-1327.

6.Z. Sheng, G. Yuan, A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation, J. Comput. Appl. Math., 436 (2024) 115438

7.H. Zhou, Y. Liu, Z. Sheng*, A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes, Numer. Meth. Part. Diff. Equ., 39(2023)4270-4294.

8.Z. Sheng, G. Yuan, Analysis of nonlinear scheme preserving maximum principle for anisotropic diffusion equation on distorted meshes, Sci. China Math., 65(2022)2379-2396.

9.J. Wang, Z. Sheng, G. Yuan, A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations, J. Comput. Appl. Math., 402 (2022) 113785.

10.J. Wang, Z. Sheng, G. Yuan, A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes, Appl. Math. Comput., 398 (2021) 125989.

11.H. Zhou, Z. Sheng, G. Yuan, A Conservative Gradient Discretization Method for Parabolic Equations, Adv. Appl. Math. Mech., 13(2021)232-260.

12.Z. Sheng, G. Yuan, J. Yue, A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle, Appl. Numer. Math., 156 (2020) 125-139.

13.H. Zhou, Z. Sheng, G. Yuan, A finite volume method preserving maximum principle for the diffusion equations with imperfect interface, Appl. Numer. Math., 158(2020)314-335.

14.L. Chang, Z. Sheng, G. Yuan, An improvement of the two-point flux approximation scheme on polygonal meshes, J. Comput. Phy. 392 (2019) 187-204.

15.D. Jia, Z. Sheng, G. Yuan,An extremum-preserving iterative procedure for the imperfect interface problem, Commun. Comput. Phys. 25 (2019) 853-870.

16.B. Lan, Z. Sheng, G. Yuan, A new positive finite volume scheme for two-dimensional convection-diffusion equation, Z Angew Math Mech. 2019;99:e201800067.

17.H. Zhou, Z. Sheng, G. Yuan, Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes, Comput. Math. Appl., 77 (2019) 1055–1070.

18.贾东旭, 盛志强, 袁光伟, 扩散方程一种无条件稳定的保正并行有限差分方法,计算数学, 41(2019)242-258.

19.张燕美,兰斌,盛志强,袁光伟,非定常对流扩散方程保正格式解的存在性, 计算数学, 41(2019)381-394.

20.Z. Sheng, G. Yuan, Construction of nonlinear weighted method for finite volume schemes preserving maximum principle, SIAM J. Sci. Comput.  40 (2018) A607-A628.

21.H. Zhou, Z. Sheng, G. Yuan, Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes,  Appl. Math. Comput., 336 (2018) 182-192.

22.D. Jia, Z. Sheng, G. Yuan, A conservative parallel difference method for 2-dimension diffusion equation, Appl. Math. Lett. 78 (2018) 72-78.

23.B. Lan, Z. Sheng, G. Yuan, A new finite volume scheme preserving positive for radionuclide transport calculations in radioactive waste repository. Int. J. Heat and Mass Transfer.  121(2018) 736-746.

24.B. Lan, Z. Sheng, G. Yuan, A monotone finite volume scheme with second order accuracy for convection-diffusion equations on deformed meshes. Commun. Comput. Phys.  24(2018)1455-1476.

25.Z. Sheng, J. Yue, G. Yuan, A Parallel Finite Volume Scheme Preserving Positivity for Diffusion Equation on Distorted Meshes, Numer. Meth. Part. Diff. Equ., 33 (2017)2159-2178.

26.Q. Zhang, Z. Sheng, G. Yuan, A monotone finite volume scheme for diffusion equations on general non-conforming meshes, Appl. Math. Comput., 311(2017)300-313.

27.Q. Zhang, Z. Sheng, G. Yuan, A finite volume scheme preserving extremum principle for convection-diffusion equations on polygonal meshes, Int. J. Numer. Meth. Fluids, 84(2017)616-632.

28.Z. Sheng, G. Yuan, A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation, J. Sci. Comput., 2016, 68, 521-545.

29.Z. Sheng, G. Yuan, A new nonlinear finite volume scheme preserving positivity for diffusion equations, J. Comput. Phys., 2016, 315, 182-193.

30.Z. Sheng, M. Thiriet, F. Hecht, A high-order scheme for the incompressible Navier–Stokes equations with open boundary condition,Int. J. Numer. Meth. Fluids, 2013,73(1):58-73.

31.袁光伟, 岳晶岩, 盛志强, 沈隆钧, 非线性抛物型方程计算方法, 中国科学: 数学, 2013, 43(3)235-248.

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

33.袁光伟,盛志强,岳晶岩,扩散方程保正的有限体积格式,中国科学:数学, 42(9), 2012, 951-970.

34.Z. Sheng, G. Yuan, The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes, J. Comput. Phys., 230(2011) 2588-2604.

35.Z. Sheng, M. Thiriet, F. Hecht, An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid, J. Comput. Phys., 230(2011) 551-571.

36.Z. Sheng, J. Yue, G. Yuan, Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. SIAM J. Sci. Comput. 31 (2009), no. 4, 2915--2934.

37.袁光伟, 杭旭登, 盛志强,岳晶岩,辐射扩散计算方法若干研究进展. 计算物理,26 (2009), no.4.475-500.

38.Z. Sheng, G. Yuan, A finite volume scheme for diffusion equations on distorted quadrilateral meshes. Transport Theory Statist. Phys. 37 (2008), no. 2-4, 171--207.

39.G. Yuan, Z. Sheng, Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation, Sci. China Ser. A 51 (2008), no. 8, 1522--1536.

40.G. Yuan, Z. Sheng, Monotone finite volume schemes for diffusion equations on polygonal meshes. J. Comput. Phys. 227 (2008), no. 12, 6288--6312.

41.Z. Sheng, G. Yuan, A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. SIAM J. Sci. Comput. 30 (2008), no. 3, 1341--1361.

42.G. Yuan, Z. Sheng, Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. J. Comput. Phys. 224 (2007), no. 2, 1170--1189.

43.G. Yuan, X. Hang, Z. Sheng, Parallel Difference Schemes with Interface Extrapolation Terms for Quasi-linear Parabolic Systems. Science in China: Series A Mathematics, 50(2007), 253-275.

44.G. Yuan, Z. Sheng, X. Hang, The Unconditional Stability of Parallel Difference Schemes with Second Order Convergence for Nonlinear Parabolic System. J. Partial Diff. Eqs. 20(2007), 45-64.

45.Z. Sheng, G. Yuan, X. Hang, Unconditional Stability of Parallel Difference Schemes with Second Order Accuracy for Parabolic Equation. Appl. Math. Comput., 184(2007), 1015-1031.