Faculty Profiles - HU Jishan | The Hong Kong University of Science and Technology

Jishan HU
胡繼善

PhD in Applied Mathematics
Princeton University, 1991

Professor
Department of Mathematics

(852) 2358 7434
majhu@ust.hk
Room 3447
Personal Web

ORCID

0000-0002-7987-8312

Scopus ID

7406419933

Research Interest Publications Teaching Assignment RPG Supervision Space used

Research Interest

Applied analysis
Integrable systems

Publications

All Years 34 2024 0 2023 0 2022 0 2021 0 2020 0 2019 1 2018 33

2019 1

Calculus for Scientists and Engineers

Hu, Jishan; Li, Weiping; Wu, Yueping
Book

2017 1

Integrability Conditions on A Sub-Riemannian Structure on S3

Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 9-18
Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan
Article

2015 1

Integrability conditions on Engel-type manifolds

Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
Article

2014 1

Poincare's lemma on the Heisenberg group

Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
Article

2012 1

Heat kernels for a class of degenerate elliptic operators using stochastic method

Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y.
Article

2011 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS

Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian
Article

Stochastic Regression in Terms of Brownian Motion

Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan
Article

2010 1

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
Book

2009 1

Geometric mechanics on product Heisenberg groups

Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan
Article

2008 2

Regularized random-sampling high dimensional model representation (RS-HDMR)

Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang
Article

Study of a micro absorption heat pump system

INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H.
Article

2006 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions

JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H.
Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.
Article

2002 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min
Conference paper

2001 2

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL
Article

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min
Article

2000 2

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.
Article

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.
Conference paper

1999 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants

Dynamics of Continuous, Discrete and Impulsive Systems, v. 5, (1-4), March 1999, p. 261-270
Hu, Jishan
Article

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.
Article

1998 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)

European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J.
Article

Linkage between adiabatic invariance and symmetry of solutions

Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS
Article

Nonuniformity of adiabatic invariance for nonlinear oscillators

SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS
Article

Projection dynamics in Godunov-type schemes

Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan
Article

1996 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators

Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS
Article

1995 1

Analysis of the radiation loss: Asymptotics beyond all orders

OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC
Conference paper

1994 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator

Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min
Article

1992 4

Numerical computation of transcendentally small reflection

Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J.
Article

Reflection coeffcient beyond all orders for singular problems III

J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J.
Article

Reflection Coefficient Problems for Weakly Nonlinear Wave Equations

SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D.
Article

Transcendentally small reflection for singular weakly nonlinear problems

SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M.
Article

1991 3

Reflection coeffcient beyond all orders for singular problems I

J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M.
Article

Reflection coeffcient beyond all orders for singular problems II

J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M.
Article

Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach

J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J.
Article

Book 1

Calculus for Scientists and Engineers

Hu, Jishan; Li, Weiping; Wu, Yueping

Article 1

Integrability Conditions on A Sub-Riemannian Structure on S3

Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 9-18
Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan

Article 1

Integrability conditions on Engel-type manifolds

Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan

Article 1

Poincare's lemma on the Heisenberg group

Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan

Article 1

Heat kernels for a class of degenerate elliptic operators using stochastic method

Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y.

Article 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS

Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian

Stochastic Regression in Terms of Brownian Motion

Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan

Book 1

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min

Article 1

Geometric mechanics on product Heisenberg groups

Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan

Article 2

Regularized random-sampling high dimensional model representation (RS-HDMR)

Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang

Study of a micro absorption heat pump system

INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H.

Article 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions

JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H.

Article 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.

Conference paper 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min

Article 2

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min

Article 1

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.

Conference paper 1

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.

Article 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants

Dynamics of Continuous, Discrete and Impulsive Systems, v. 5, (1-4), March 1999, p. 261-270
Hu, Jishan

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.

Article 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)

European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J.

Linkage between adiabatic invariance and symmetry of solutions

Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS

Nonuniformity of adiabatic invariance for nonlinear oscillators

SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS

Projection dynamics in Godunov-type schemes

Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan

Article 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators

Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS

Conference paper 1

Analysis of the radiation loss: Asymptotics beyond all orders

OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC

Article 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator

Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min

Article 4

Numerical computation of transcendentally small reflection

Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J.

Reflection coeffcient beyond all orders for singular problems III

J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J.

Reflection Coefficient Problems for Weakly Nonlinear Wave Equations

SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D.

Transcendentally small reflection for singular weakly nonlinear problems

SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M.

Article 3

Reflection coeffcient beyond all orders for singular problems I

J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M.

Reflection coeffcient beyond all orders for singular problems II

J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M.

Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach

J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J.

2017 1

Integrability Conditions on A Sub-Riemannian Structure on S3

Analysis and Mathematical Physics, v. 7, (1), March 2017, p. 9-18
Calin, Ovidiu L.; Chang, Derchen; Hu, Ji Shan
Article

2015 1

Integrability conditions on Engel-type manifolds

Analysis and Mathematical Physics, v. 5, (3), September 2015, p. 217-231
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
Article

2014 1

Poincare's lemma on the Heisenberg group

Advances in Applied Mathematics, v. 60, September 2014, p. 90-102
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan
Article

2012 1

Heat kernels for a class of degenerate elliptic operators using stochastic method

Complex variables and elliptic equations, v. 57, (2-4), 2012, p. 155-168
Calin, O.; Chang, D.C.; Hu, J.; LI, Y.
Article

2011 2

ON HEAT KERNELS OF A CLASS OF DEGENERATE ELLIPTIC OPERATORS

Journal of nonlinear and convex analysis, v. 12, (2), 2011, p. 309-340
Calin, Ovidiu; Chang, Der-Chen; Hu, Jishan; Li, Yutian
Article

Stochastic Regression in Terms of Brownian Motion

Applicable analysis, v. 90, (6), 2011, p. 899-919
Calin, Ovidiu; Chang, Der-Chen; Hu, Ji-Shan
Article

2010 1

Calculus: Rigor, Concision, Clarity

Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
Book

2009 1

Geometric mechanics on product Heisenberg groups

Applicable analysis, v. 88, (2), 2009, p. 243-283
Chang, Der-Chen; Chang, Ting-Hui; Hu, Jishan
Article

2008 2

Regularized random-sampling high dimensional model representation (RS-HDMR)

Journal of mathematical chemistry, v. 43, (3), 2008, MAR, p. 1207-1232
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang
Article

Study of a micro absorption heat pump system

INTERNATIONAL journal OF refrigeration-revue internationale DU froid, v. 31, (7), 2008, NOV, p. 1198-1206
Hu, J.S.; Chao, Christopher Y.H.
Article

2006 1

Random sampling-high dimensional model representation (RS-HDMR) and orthogonality of its different order component functions

JOURNAL OF PHYSICAL CHEMISTRY A, v. 110, (7), 2006, FEB 23, p. 2474-2485
Li, GY; Hu, JS; Wang, SW; Georgopoulos, PG; Schoendorf, J.; Rabitz, H.
Article

2003 1

An elementary and direct proof of the Painleve property for the Painleve equations I, II and IV

Journal d Analyse Mathematique, v. 91, 2003, p. 105-121
Hu, JS; Yan, M.
Article

2002 1

A Link between two Fundamental Contributions of Kowalevski

The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
Hu, Jishan; Yan, Min
Conference paper

2001 2

Mirror transformations of Hamiltonian systems

PHYSICA D, v. 152, 2001, MAY 15, p. 110-123
Hu, JS; Yan, M.; Yee, TL
Article

Symplectic Structure of the Painlevé Test

Journal of Nonlinear Mathematical Physics, v. 8, (Suppl. 1), February 2001, p. 145-148
Hu, Jishan; Yan, Min
Article

2000 2

The mirror systems of integrable equations

Studies in applied mathematics, v. 104, (1), 2000, JAN, p. 67-90
Hu, JS; Yan, M.
Article

Local analyticity of solutions in the Painleve test

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, p. 146-152
Hu, JS; Yan, M.
Conference paper

1999 2

Nonlinear Hamiltonian systems and exponential asymptotics for the adiabatic invariants

Dynamics of Continuous, Discrete and Impulsive Systems, v. 5, (1-4), March 1999, p. 261-270
Hu, Jishan
Article

Singularity analysis for integrable systems by their mirrors

Nonlinearity, v. 12, (6), 1999, NOV, p. 1531-1543
Hu, JS; Yan, M.
Article

1998 4

Computation of the adiabatic invariant of the symmetric nonlinear oscillator dt(2)/d(y)+Q(epsilon t)y(n) = R(epsilon t)y(m)

European journal of applied mathematics, v. 9, (Part 2), 1998, APR, p. 187-194
Hu, J.
Article

Linkage between adiabatic invariance and symmetry of solutions

Studies in applied mathematics, v. 101, (2), 1998, AUG, p. 99-126
Hu, JS
Article

Nonuniformity of adiabatic invariance for nonlinear oscillators

SIAM journal on applied mathematics, v. 59, (3), 1998, DEC 15, p. 777-786
Hu, JS
Article

Projection dynamics in Godunov-type schemes

Journal of computational physics, v. 142, (2), 1998, MAY 20, p. 412-427
Xu, Kun; Hu, Jishan
Article

1996 1

Asymptotics beyond all orders for a certain type of nonlinear oscillators

Studies in applied mathematics, v. 96, (1), 1996, JAN, p. 85-109
Hu, JS
Article

1995 1

Analysis of the radiation loss: Asymptotics beyond all orders

OPERATOR THEORY AND BOUNDARY EIGENVALUE PROBLEMS, v. 80, 1995, p. 168-175
Hu, JS; Cheng, WC
Conference paper

1994 1

Two new adiabatically equivalent quantities for the linear harmonic oscillator

Physics Letters A, v. 189, (3), p. 171-175
Hu, Jishan; Mao, Jian-Min
Article

1992 4

Numerical computation of transcendentally small reflection

Phys. Lett. A, v. 167, 1992, p. 191-197
Hu, J.
Article

Reflection coeffcient beyond all orders for singular problems III

J. Math. Phys., v. 33, (1), 1992, p. 37-43
Hu, J.
Article

Reflection Coefficient Problems for Weakly Nonlinear Wave Equations

SIAM Journal on Applied Mathematics, v. 52, (6), Dec 1992, p. 1584-1596
Hu, Ji Shan; Kruskal, Martin D.
Article

Transcendentally small reflection for singular weakly nonlinear problems

SIAM J. App. Math., v. 52, (6), 1992, p. 1584-1596
Hu, J.; Kruskal, M.
Article

1991 3

Reflection coeffcient beyond all orders for singular problems I

J. Math. Phys., v. 32, (9), 1991, p. 2400-2405
Hu, J.; Kruskal, M.
Article

Reflection coeffcient beyond all orders for singular problems II

J. Math. Phys., v. 32, (10), 1991, p. 2676-2678
Hu, J.; Kruskal, M.
Article

Transcendentally small reflection of waves for problems with/ without turning points near infinity: a new uniform approach

J. Math. Phys., v. 32, (12), 1991, p. 3278-3284
Gingold, H.; Hu, J.
Article

No Publications

Teaching Assignment

2024-25 Fall 1 2023-24 Summer 1 2023-24 Spring 3 2023-24 Winter 0 2023-24 Fall 1 2022-23 Summer 0

MATH2033

Mathematical Analysis

UROP1100M

Undergraduate Research Opportunities Series 1

MATH3033	Real Analysis
MATH4051	Theory of Ordinary Differential Equations
UROP1100L	Undergraduate Research Opportunities Series 1

MATH2033

Mathematical Analysis

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

ZENG, Yeqin (co-supervision)
Mathematics
ZHAO, Zhenyu (co-supervision)
Mathematics

Graduated RPGs

Doctor of Philosophy

XU, Nan Nathan (co-supervision)
Individualized Interdisciplinary Program( Completed in 2023 )

Master of Philosophy

LI, Longchang (co-supervision)
Individualized Interdisciplinary Program( Completed in 2022 )
XUAN, Junpeng (co-supervision)
Individualized Interdisciplinary Program( Completed in 2022 )
YANG, Yihao (co-supervision)
Individualized Interdisciplinary Program( Completed in 2022 )
DU, Kenan (co-supervision)
Individualized Interdisciplinary Program( Completed in 2021 )
LING, Chuanyu (co-supervision)
Individualized Interdisciplinary Program( Completed in 2021 )

Research Interest

Publications

2019 1

2017 1

2015 1

2014 1

2012 1

2011 2

2010 1

2009 1

2008 2

2006 1

2003 1

2002 1

2001 2

2000 2

1999 2

1998 4

1996 1

1995 1

1994 1

1992 4

1991 3

Book 1

Article 1

Article 1

Article 1

Article 1

Article 2

Book 1

Article 1

Article 2

Article 1

Article 1

Conference paper 1

Article 2

Article 1

Conference paper 1

Article 2

Article 4

Article 1

Conference paper 1

Article 1

Article 4

Article 3

2017 1

2015 1

2014 1

2012 1

2011 2

2010 1

2009 1

2008 2

2006 1

2003 1

2002 1

2001 2

2000 2

1999 2

1998 4

1996 1

1995 1

1994 1

1992 4

1991 3

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

Current RPGs

Graduated RPGs

Projects

From January 2022 to December 2024

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