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Yushun Wang Professor


Educational Background

  • PhD, Academy of Mathematics and System Sciences, Chinese Academy of Sciences (2001)
  • MA, Nanjing Normal University (1998)
  • BA, Nanjing Normal University (1995)



Research Interests

Numerical analysis, Structure-preserving algorithms, Symplectic geometry algorithms,  Numerical PDEs


Journal Articles

  1. Wenjun Cai, Yajuan Sun,∗ Yushun Wang,Geometric Numerical Integration for Peakon b-Family Equations,Commun. Comput. Phys., 19(1):24-52( 2016). January doi: 10.4208/cicp.171114.140715a.
  2.  Jiaxiang Cai*, Yushun Wang, Yuezheng Gong, Numerical Analysis of AVF Methods for Three-Dimensional Time-Domain Maxwell’s Equations. J Sci Comput., 66:141-176(2016) DOI 10.1007/ s10915-015-0016-5.
  3. Jiaxiang Cai, Yushun Wang*, YuezhengGong, Convergence of time-splitting energy-conserved symplectic schemes for 3D Maxwell’s equations , Applied Mathematics and Computation, 265:51-67(2015).
  4. Wenjun Cai, Yajuan Sun , Yushun Wang, Variational discretizations for the generalized Rosenau-type equations, Applied Mathematics and Computation, 271:860-873(2015).
  5. Zhongquan Lv, Yuezheng Gong, Yushun Wang, Convergent Analysis of Energy Conservative Algorithm for the Nonlinear Schrödinger Equation,Mathematical Problems in Engineering, Volume 2015,Article ID 758954, 11 pages 10.1155/ 2015/ 758954
  6. Jiaxiang Cai*,  Jialin Hong*, Yushun Wang*, Yuezheng Gong, Two energy-conserved splitting methods for the 3-D Maxwell’s equation and the convergence analysis, SIAM J. Numer. Ana.,  53(4):1918-1940(2015).
  7. Cai Jiaxiang, Wang Jialin, Wang Yushun*, A local energy-preserving scheme for Klein-Gordon-Schrodinger equations, Chin. Phys. B, 24(5): (2015) 050205.
  8. Wang Yunfeng, Gu Chengming, Zhang Xiaohui, Wang Yushun, Han Yueqi, Expanded four-dimensional variational data assimulation method to optimize model physical parameters, Acta physica Sinica, 63:240202(2014).
  9. Yuezheng Gong,  Jiaxiang Cai,  Yushun Wang*, Some   new   structure-preserving   algorithms   for  general multi-symplectic  formulations   of   Hamiltonian   PDEs,Journal of Computational Physics, 279:80-102(2014).
  10. Wenjun Cai, Yushun Wang*, Yongzhong Song, Derivation of the multisymplectic Crank–Nicolson scheme for the nonlinear Schrödingere quation, Computer Physics Communications, 185:2403-2411(2014).
  11. Cai Wenjun and Wang Yushun*,A new explicit multisymplectic integrator for the Kawahara-type equation,Chin. Phys. B, 23(3):030204(2014).
  12. Cai Wenjun, Wang Yushun**, SONG Yong-Zhong Numerical Simulation of Rogue Waves by the Local Discontinuous Galerkin Method,Chin. Phys. Lett., 31(4)040201(2014).
  13. Yuezheng Gong, Jiaxiang Cai, Yushun Wang∗,Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation,Commun. Comput. Phys., 6(1):35-55(2014).
  14. Wang yushun, Hong Jialin, Multi-symplectic algorithms for Hamiltonian Partial differential equations, Communication on Applied Mathematics and Computation, 7(2):163-230(2013).
  15. Cai Jiaxiang and Wang Yushun, A conservative Fourier pseudospectral algorithm for a coupled nonlinear Schr¨odinger system, Chin. Phys. B, 22(6):060207(2013).
  16. Jiaxiang Cai, Yushun Wang. Local structure-preserving algorithms for the ‘‘good’’ Boussinesq equation, Journal of Computational Physics, 239:72–89(2013).
  17. Wenjun Cai,Yushun Wang, Yongzhong Song, Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations. Journal of Computational Physics, 234:330-352(2013).
  18. Zhongquan Lv, Yushun Wang, Yongzhong Song, A New Multi-Symplectic Integration Method for the Nonlinear Schrödinger Equation. Chinese Physics Letter, 30(3):030201(2013).
  19. Jiaxiang Cai, Yushun Wang, Hua Liang, Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system. Journal of Computational Physics, 239:30–50(2013).
  20. Yushun Wang, Juan Jiang and Wenjun Cai, Numerical analysis for the multisymplectic scheme for the Maxwell’s equation, Journal of Mathematical Physics, 52:123701(2011).
  21. Zhongquan Lv, Mei Xue, Yushun Wang*, A New Multi-symplectic scheme for the KdV Equation, Chinese Physics Letters, 28(6):060205(2011).
  22. Zhongquan Lv, Mei Xue, Yushun Wang, Legendre polynomials spectral approximation for the infinite dimensional Hamiltonian systems, Mathematical Problems in Engineering, 824167, 2011.
  23. Zhongquan Lv, Yushun Wang, A multi-symplectic integration method for the Poisson equation, Journal of Nanjing Normal University (Natural Science Edition), 34(4):9-12(2011).
  24. Hongling Su, Mengzhao Qin, Yushun Wang, Multisymplectic Birkhoffian structure for PDEs with dissipation terms, Physics Letters A, 374(24):2410-2416(2010).
  25. Yushun Wang and Shengtai Li, New schemes for the coupled nonlinear Schrodinger equations, International Journal of Computer Mathematics, 87(4):775-787(2010).
  26. Cai Jiaxiang, Yushun Wang, Zhonghua Qiao, Multi-symplectic Preissman scheme for time-domain Maxwell’s equation, Journal of Mathematical Physics, 50( 3), 033510-17, 2009.
  27. Yushun Wang, Bin Wang, Applications of Multi-symplectic Euler-box, Numerical Analysis and Applied Mathematics, 1168, 908-911, 2009.
  28. Jiaquan Gao, Guixia He and Yushun Wang, A new parallel genetic algorithms for solving multiobjective scheduling problems, International Journal of Advanced Manufacturing Technology, 43(1-2), 151-160, 2009.
  29. Yushun Wang, Qinghong Li and Yongzhong Song, New schemes for the nonlinear schrodinger equations, Chinese Physics Letter, 25(5), 1538-1540, 2008.
  30. Huiping Wang, Yushun Wang and Yingying Hu, An explicit scheme for the KdV equation, Chinese Physics Letter, 25(7), 2335-2338, 2008.
  31. Wang Yushun, Wang Bin and Qin Mengzhao, Local structure-preserving schemes for partial differential equations, Science in China, Series. A: Mathematics, 51(11), 2115-2136,2008.
  32. Jiaquan Gao, Guixia He, Yushun Wang and Feng Liu Multi-objective Scheduling problems subjected to special progress constrain, Evolutionary Computation, IEEE World Congress on Computational Intelligence, 1-6 June 2008 Page:105-110, Digital Object Identifier 10.1109/CEC. 4630783, 2008.
  33. Jiaquan Gao, Guixia He, Yushun Wang, Research on immune genetic algorithm for solving bi-objective scheduling problems subjected to special process constraint, ICAL 2008. IEEE International Conference on Automation and Logistics, 1-3 Sept. 2008 Page(s):1994–1999 Digital Object Identifier 10.1109/ICAL.4636489,2008.
  34. Wang Yushun, Wang Bin and  Chen Xin, The multi-symplectic Euler box scheme for the KdV equation, Chinese Physics Letters, 24(2), 312, 2007.
  35. Cai Jiaxiang, Wang Yushun, Wang Bin, Jiang Bin, New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell's equations 47, 123508, 2006.  
  36. Jiang Bin, Wang Yushun, Wang Bin, Cai Jiaxiang, A new multi-symplectic scheme for the GKP equation, Journal of mathematical physics, 47, 083503, 2006.
  37. Li Qinghong, Sun Yajuan, Wang Yuhsun, On multi-symplectic RKN methods, Applied mathematics and computation, 182, 1056-1063, 2006.
  38. Qinghong Li, Yongzhong Song, Yushun Wang, Multisymplectic PRK method for nonlinear PDEs, Applied Mathematics and Computation, 177, 36-43, 2006.
  39. Wang Yushun, Wang Bin,  High order multisymplectic schemes for the nonlinear Klein-Gordon equation, Applied Mathematics and Computation, 166, 608-632. 2005.
  40. Yushun Wang, Bin Wang and Mengzhao Qing, Numerical implementation of multisymplectic Pressman scheme and its equavelent schemes, Applied mathematics and computation, 149, 299-326, 2004.
  41. Yushun Wang, Bin Wang, Hongwei Yang, Yufeng Wang, An artificial boundary condition for the multisymplectic Pressman scheme,  Journal of the Physical Society of Japan,  73(6),  1457-1463, 2004.
  42. Yunfeng Wang, Bin Wang, Gang Ma, Yushun Wang. Effects of 4DVAR with multifold observed data on the typhoon track forecast, The bulletin of Chinese science, 48, Supp. II, 93-98, 2003. (
  43. Yushun Wang, Bin Wang, Mengzhao Qing and Zhongzhen Ji,  High order symplectic schemes for the sine-Gordon equation, Journal of the Physical Society of Japan,  72(11), 2731-2736, 2003. 
  44. Wang Yushun, Wang Bin, Qin Mengzhao,  Concatenating construct of multi-symplectic schemes for the  2+1 dimensional sine-Gordon equation. Science in China, Series. A: Mathematics,  33(3),272-281, 2003.
  45. Wang Yushun, Wang Bin, Yang Hongwei, Wang Yunfeng, The five-point multisymplectic scheme for the nonlinear wave equation, The bulletin of Chinese science,  48, Supp.Ⅱ, 24-29, 2003.
  46. Yushun Wang and Mengzhao Qin, Multisymplectic schemes for the nonlinear Klein-Gordon equation Mathematical and computer modeling, 36(9-10), 963-977, 2002. 
  47. Yushun Wang and Mengzhao qin, Multisymplectic structure and multisymplectic scheme for the nonlinear wave equation, Acta Mathematicae Applicatae Sinica, 18(1), 169-176, 2002.
  48. Yushun Wang and Mengzhao Qin, Multisymplectic Geometry and Multi-symplectic schemes for the Nonlinear Klein-Gordon equation,  Journal of the Physical Society of Japan, 70(3), 653-661, 2001.
  49. Yushun Wang and  Mengzhao Qin, Symplectic schemes of vortex system in the bounded domain, Computational Fluid Dynamics Journal, 10(2), 210-219,  2001.
  50. Yushun Wang and Wei Wang, Symplectic schemes of vertex system in half plain, Numerical Mathematics, A Journal of Chinese university, 9(2), 141-151, 2000.



 Structure-preserving Algorithms for Partial Differential Equations, Press of Zejiang Science and Technology.


Academic Title

Director of the Center of Scientific Computing in Nanjing Normal University.

Vice Director of the Key Lab of Numerical simulation of Larger Scale Complex System in Jiangsu Province