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Professor
Research Interests
Applied analysis; integrable systemsTeaching
 MATH2033 Mathematical Analysis
Awards & Honors

Winner of the School of Science Teaching, Research and Service Award
(2014)
Selected Publications
Article

Integrability Conditions on A SubRiemannian Structure on S3
 Author(s): Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan
 Source: Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 918
 Year: 2017

Integrability conditions on Engeltype manifolds
 Author(s): Calin, Ovidiu; Chang, DerChen; Hu, Jishan
 Source: Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217231
 Year: 2015

Poincare's lemma on the Heisenberg group
 Author(s): Calin, Ovidiu; Chang, DerChen; Hu, Jishan
 Source: Advances in Applied Mathematics, v. 60, September 2014, p. 90102
 Year: 2014

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, (24), 2012, p. 155168
 Year: 2012

Stochastic Regression in Terms of Brownian Motion
 Author(s): Calin, Ovidiu; Chang, DerChen; Hu, JiShan
 Source: Applicable analysis, v. 90, (6), 2011, p. 899919
 Year: 2011

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS
 Author(s): Calin, Ovidiu; Chang, DerChen; Hu, Jishan; Li, Yutian
 Source: Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309340
 Year: 2011

Geometric mechanics on product Heisenberg groups
 Author(s): Chang, DerChen; Chang, TingHui; Hu, Jishan
 Source: Applicable analysis, v. 88, (2), 2009, p. 243283
 Year: 2009

Study of a micro absorption heat pump system
 Author(s): Hu, J.S.; Chao, Christopher Y.H.
 Source: INTERNATIONAL journal OF refrigerationrevue internationale DU froid, v. 31, (7), 2008, NOV, p. 11981206
 Year: 2008

Regularized randomsampling high dimensional model representation (RSHDMR)
 Author(s): Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang
 Source: Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 12071232
 Year: 2008

Random samplinghigh dimensional model representation (RSHDMR) 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. 24742485
 Year: 2006

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. 105121
 Year: 2003

Mirror transformations of Hamiltonian systems
 Author(s): Hu, JS; Yan, M.; Yee, TL
 Source: PHYSICA D, v. 152, 2001, MAY 15, p. 110123
 Year: 2001

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. 145148
 Year: 2001

The mirror systems of integrable equations
 Author(s): Hu, JS; Yan, M.
 Source: Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 6790
 Year: 2000

Singularity analysis for integrable systems by their mirrors
 Author(s): Hu, JS; Yan, M.
 Source: Nonlinearity, v. 12, (6), 1999, NOV, p. 15311543
 Year: 1999

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants
 Author(s): Hu, Jishan
 Source: Dynamics of Continuous, Discrete and Impulsive Systems, v. 5, (14), March 1999, p. 261270
 Year: 1999

Linkage between adiabatic invariance and symmetry of solutions
 Author(s): Hu, JS
 Source: Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99126
 Year: 1998

Projection dynamics in Godunovtype schemes
 Author(s): Xu, Kun; Hu, Jishan
 Source: Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412427
 Year: 1998

Nonuniformity of adiabatic invariance for nonlinear oscillators
 Author(s): Hu, JS
 Source: SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777786
 Year: 1998

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. 187194
 Year: 1998

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. 85109
 Year: 1996

Two new adiabatically equivalent quantities for the linear harmonic oscillator
 Author(s): Hu, Jishan; Mao, JianMin
 Source: Physics Letters A, v. 189, (3), p. 171175
 Year: 1994

Numerical computation of transcendentally small reflection
 Author(s): Hu, J.
 Source: Phys. Lett. A, v. 167, 1992, p. 191197
 Year: 1992

Reflection coeffcient beyond all orders for singular problems III
 Author(s): Hu, J.
 Source: J. Math. Phys., v. 33, (1), 1992, p. 3743
 Year: 1992

Transcendentally small reflection for singular weakly nonlinear problems
 Author(s): Hu, J.; Kruskal, M.
 Source: SIAM J. App. Math., v. 52, (6), 1992, p. 15841596
 Year: 1992

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. 15841596
 Year: 1992

Reflection coeffcient beyond all orders for singular problems II
 Author(s): Hu, J.; Kruskal, M.
 Source: J. Math. Phys., v. 32, (10), 1991, p. 26762678
 Year: 1991

Reflection coeffcient beyond all orders for singular problems I
 Author(s): Hu, J.; Kruskal, M.
 Source: J. Math. Phys., v. 32, (9), 1991, p. 24002405
 Year: 1991

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. 32783284
 Year: 1991
Book

Calculus for Scientists and Engineers
 Author(s): Hu, Jishan; Li, Weiping; Wu, Yueping
 Year: 2019

Calculus: Rigor, Concision, Clarity
 Author(s): Hu, Ji Shan; Li, JianShu; Li, Wei Ping; Yan, Min
 Year: 2010
Conference paper

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

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. 146152
 Year: 2000

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. 168175
 Year: 1995