Department of Mathematics, HKUST  

  HU, Ji-Shan   胡繼善

  PhD Princeton

 		Office: Room 3447  

Telephone: 7434  

Email: majhu@ust.hk  

URL: https://www.math.hkust.edu.hk/~majhu   
  Professor

Research Interests

  • Applied analysis; integrable systems

Awards & Honors

  • Winner of the School of Science Teaching, Research and Service Award   (2014)

       Selected Publications

 Full Publication List [HKUST Scholarly Publications]  

Article   

  1. Integrability Conditions on A Sub-Riemannian Structure on S3
    • Author(s): Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan
    • Source: Analysis and Mathematical Physics. , v. 7, (1), March 2017, p. 9-18
    • Year: 2017

  2. Integrability conditions on Engel-type manifolds
    • Author(s): Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
    • Source: Analysis and Mathematical Physics. , v. 5, (3), September 2015, p. 217-231
    • Year: 2015

  3. Poincare's lemma on the Heisenberg group
    • Author(s): Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
    • Source: Advances in Applied Mathematics. , v. 60, September 2014, p. 90-102
    • Year: 2014

  4. Heat kernels for a class of degenerate elliptic operators using stochastic method
    • Author(s): Calin, O.; Chang, D.C.; Hu, J.; LI, Y.
    • Source: Complex variables and elliptic equations. , v. 57, (2-4), 2012, p. 155-168
    • Year: 2012

  5. Stochastic Regression in Terms of Brownian Motion
    • Author(s): Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan
    • Source: Applicable analysis. , v. 90, (6), 2011, p. 899-919
    • Year: 2011

  6. ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS
    • Author(s): Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian
    • Source: Journal of nonlinear and convex analysis. , v. 12, (2), 2011, p. 309-340
    • Year: 2011

  7. Geometric mechanics on product Heisenberg groups
    • Author(s): Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan
    • Source: Applicable analysis. , v. 88, (2), 2009, p. 243-283
    • Year: 2009

  8. Regularized random-sampling high dimensional model representation (RS-HDMR)
    • Author(s): Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang
    • Source: Journal of mathematical chemistry. , v. 43, (3), 2008, MAR, p. 1207-1232
    • Year: 2008

  9. Study of a micro absorption heat pump system
    • Author(s): Hu, J.S.; Chao, Christopher Y.H.
    • Source: INTERNATIONAL journal OF refrigeration-revue internationale DU froid. , v. 31, (7), 2008, NOV, p. 1198-1206
    • Year: 2008

  10. Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions
    • Author(s): Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H.
    • Source: JOURNAL OF PHYSICAL CHEMISTRY A. , v. 110, (7), 2006, FEB 23, p. 2474-2485
    • Year: 2006

  11. An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV
    • Author(s): Hu, JS; Yan, M.
    • Source: Journal d Analyse Mathematique. , v. 91, 2003, p. 105-121
    • Year: 2003

  12. Mirror transformations of Hamiltonian systems
    • Author(s): Hu, JS; Yan, M.; Yee, TL
    • Source: PHYSICA D. , v. 152, 2001, MAY 15, p. 110-123
    • Year: 2001

  13. Symplectic structure of the Painleve test
    • Author(s): Hu, J.; Yan, M.
    • Source: Journal of nonlinear mathematical physics. , v. 8, (Suppl. S), 2001, FEB, p. 145-148
    • Year: 2001

  14. Symplectic Structure of the Painlevé Test
    • Author(s): Hu, Jishan ; Yan, Min
    • Source: Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
    • Year: 2001

  15. The mirror systems of integrable equations
    • Author(s): Hu, JS; Yan, M.
    • Source: Studies in applied mathematics. , v. 104, (1), 2000, JAN, p. 67-90
    • Year: 2000

  16. Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
    • Author(s): Hu, JS
    • Source: Dynamics OF continuous DISCRETE and IMPULSIVE SYSTEMS. , v. 5, (1-4), 1999, MAR, p. 261-270
    • Year: 1999

  17. Singularity analysis for integrable systems by their mirrors
    • Author(s): Hu, JS; Yan, M.
    • Source: Nonlinearity. , v. 12, (6), 1999, NOV, p. 1531-1543
    • Year: 1999

  18. Projection dynamics in Godunov-type schemes
    • Author(s): Xu, Kun; Hu, Jishan
    • Source: Journal of computational physics. , v. 142, (2), 1998, MAY 20, p. 412-427
    • Year: 1998

  19. Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)
    • Author(s): Hu, J.
    • Source: European journal of applied mathematics. , v. 9, (Part 2), 1998, APR, p. 187-194
    • Year: 1998

  20. Linkage between adiabatic invariance and symmetry of solutions
    • Author(s): Hu, JS
    • Source: Studies in applied mathematics. , v. 101, (2), 1998, AUG, p. 99-126
    • Year: 1998

  21. Nonuniformity of adiabatic invariance for nonlinear oscillators
    • Author(s): Hu, JS
    • Source: SIAM journal on applied mathematics. , v. 59, (3), 1998, DEC 15, p. 777-786
    • Year: 1998

  22. Asymptotics beyond all orders for a certain type of nonlinear oscillators
    • Author(s): Hu, JS
    • Source: Studies in applied mathematics. , v. 96, (1), 1996, JAN, p. 85-109
    • Year: 1996

  23. Two new adiabatically equivalent quantities for the linear harmonic oscillator
    • Author(s): Hu, Jishan; Mao, Jian-Min
    • Source: Physics Letters A. , v. 189, (3), p. 171-175
    • Year: 1994

  24. Transcendentally small reflection for singular weakly nonlinear problems
    • Author(s): Hu, J.; Kruskal, M.
    • Source: SIAM J. App. Math.. , v. 52, (6), 1992, p. 1584-1596
    • Year: 1992

  25. Reflection coeffcient beyond all orders for singular problems III
    • Author(s): Hu, J.
    • Source: J. Math. Phys.. , v. 33, (1), 1992, p. 37-43
    • Year: 1992

  26. Numerical computation of transcendentally small reflection
    • Author(s): Hu, J.
    • Source: Phys. Lett. A. , v. 167, 1992, p. 191-197
    • Year: 1992

  27. Reflection Coefficient Problems for Weakly Nonlinear Wave Equations
    • Author(s): Hu, Ji Shan; Kruskal, Martin D.
    • Source: SIAM Journal on Applied Mathematics. , v. 52, (6), Dec 1992, p. 1584-1596
    • Year: 1992

  28. Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach
    • Author(s): Gingold, H.; Hu, J.
    • Source: J. Math. Phys.. , v. 32, (12), 1991, p. 3278-3284
    • Year: 1991

  29. Reflection coeffcient beyond all orders for singular problems I
    • Author(s): Hu, J.; Kruskal, M.
    • Source: J. Math. Phys.. , v. 32, (9), 1991, p. 2400-2405
    • Year: 1991

  30. Reflection coeffcient beyond all orders for singular problems II
    • Author(s): Hu, J.; Kruskal, M.
    • Source: J. Math. Phys.. , v. 32, (10), 1991, p. 2676-2678
    • Year: 1991

Book   

  1. Calculus for Scientists and Engineers
    • Author(s): Hu, Jishan ; Li, Weiping; Wu, Yueping
    • Source: Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
    • Year: 2019

  2. Calculus: Rigor, Concision, Clarity
    • Author(s): Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
    • Source: Calculus: Rigor, Concision, Clarity. , / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
    • Year: 2010

Conference paper   

  1. A Link between two Fundamental Contributions of Kowalevski
    • Author(s): Hu, Jishan; Yan, Min
    • Source: The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI.
    • Year: 2002

  2. Local analyticity of solutions in the Painleve test
    • Author(s): Hu, JS; Yan, M.
    • Source: PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79. , 2000, p. 146-152
    • Year: 2000

  3. Analysis of the radiation loss: Asymptotics beyond all orders
    • Author(s): Hu, JS; Cheng, WC
    • Source: OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS. , v. 80, 1995, p. 168-175
    • Year: 1995