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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。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70篇。获中国工程物理研究院首届科技创新奖一等奖,国防科技创新团队奖。现为邓稼先创新研究中心科学计算及理论团队负责人,中国数学会理事,中国数学会数学名词审定委员会委员,《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. H. Song, Z. Sheng, D. Wang, J. Lv, Alternately-optimized SNN method for acoustic scattering problem in unbounded domain, J. Comput. Phys., 559 (2026) 114890.

      2.  X. Dai, Y. Fan, Z. Sheng, Subspace method based on neural networks for solving eigenvalue problems, Commun. Nonlinear Sci. Numer. Simulat., 161 (2026) 110060.

3. H. Zhou, Z. Sheng, Improved randomized neural network methods with boundary processing for solving elliptic equations, Commun. Comput. Phys.,  39(2026) 147-184 .

4. P. Liu, Z. Xu, Z. Sheng,  Subspace method based on neural networks for solving the partial differential equation in weak form, Communications in Nonlinear Science and Numerical Simulation, 152(2026) 109367.

5. F. Cao, Y. Yue, F. Pei, B. Yuan, Y. Ge, Z. Sheng, High-resolution subspace neural network approach for solving the singular perturbed boundary layer problem, Applied Soft Computing, 186(2026) 114207.

6. Z. Fu, H. Liu, Z. Sheng, B. Xing, Domain decomposition subspace neural network method for solving linear and nonlinear partial differential equations, Commun. Nonlinear Sci. Numer. Simulat., 158 (2026) 109875.

7. P. Liu, Z. Xu, Z. Sheng, A positivity-preserving subspace method based on neural networks for solving diffusion equations in the weak form, J. Comput. Appl. Math., 484(2026)117406.

8. F. Zhao, Z. Sheng, G. Yuan, A finite volume scheme preserving strong extremum principle for three-dimensional diffusion equations and its Anderson acceleration, J. Comput. Math., 44,(2026)1164-1190.

9. Z. Xu, Z. Sheng, Subspace method based on neural networks for solving the partial differential equation, Comput. Math. Appl., 195 (2025) 109-138.

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

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

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

13. 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.

14. 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.

15. 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.

16. 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.

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

18. 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.

19. 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.

20. 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.

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

22. 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.

23. 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.

24. 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, 412019242-258.

25. 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, 412019381-394.

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

27. 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.

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

29. 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.

30. 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.

31. 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.

32. 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.

33. 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.

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

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

36. Z. Sheng, M. Thiriet, F. Hecht, A high-order scheme for the incompressible NavierStokes equations with open boundary conditionInt. J. Numer. Meth. Fluids, 2013731):58-73.

37. 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.

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

39. 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.

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

41. 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.

42. 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.

43. 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.

44. 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.

45. 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.

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

47. 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.

48. 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.

49. 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.

50. 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.

51. 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.