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HU, Ji-Shan
胡繼善
(PhD Princeton)
Phone: (852) 2358 7434Email: majhu@ust.hk
Office: Room 3447
Home Page
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Professor
Research Interests
Applied analysis; integrable systemsTeaching
- MATH4051 Theory of Ordinary Differential Equations
Awards & Honors
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Winner of the School of Science Teaching, Research and Service Award
(2014)
Selected Publications
Article
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Numerical computation of transcendentally small reflection
- Author(s): Hu, J.
- Source: Phys. Lett. A. , v. 167, 1992, p. 191-197
- Year: 1992
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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
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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
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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
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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
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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
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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
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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
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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
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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