Welcome to the homepage of Dr. Yongle Liu
Winterthurerstrasse 190, Zürich, Switzerland
E-mails: yongle.liu@math.uzh.ch
Welcome to the homepage of Dr. Yongle Liu
Winterthurerstrasse 190, Zürich, Switzerland
E-mails: yongle.liu@math.uzh.ch
Domain of interest:
Numerical Methods for Time-dependent Hyperbolic PDEs
PAMPA (Point-Average-Moment PolynomiAl-interpreted) Methods on unstructured meshes
Finite-Volume Methods
Well-Balanced Schemes
Shallow Water Models
I am currently a postdoc at the Institute of Mathematics, University of Zürich, working with Prof. Rémi Abgrall.
I received the Ph.D. (2021) at Department of Mathematics, Southern University of Science and Technology, supervised by Prof. Alexander Kurganov.
Academic Positions:
2022.09--now: Postdoc, Institute of Mathematics, University of Zürich, Zürich, Switzerland
2021.07--2022.08: Visiting Scholar, Department of Mathematics, Southern University of Science and Technology, Shenzhen, China
Publications:
Submitted:
33. Rémi Abgrall, Yongle Liu, and Philipp Öffner
Some new properties of the PAMPA scheme
Submitted Journal of Scientific Computing, 2025
32. Yangyang Cao, Qian Huang, Julian Koellermeier, Alexander Kurganov, and Yongle Liu
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations
Submitted to Computers and Fluids, 2025
31. Rémi Abgrall, Walter Boscheri, and Yongle Liu
Virtual finite element and hyperbolic problems: the PAMPA algorithm
Submitted to Journal of Computational Physics, 2025.
30. Rémi Abgrall, Miaosen Jiao, Yongle Liu, and Kailiang Wu
A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case
accepted in SIAM Journal on Scientific Computing, 2025.
29. Gauthier Wissocq, Yongle Liu, and Rémi Abgrall
A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions
accepted in SIAM Journal on Scientific Computing, 2025.
28. Rémi Abgrall, Miaosen Jiao, Yongle Liu*, and Kailiang Wu
Bound-preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: One-dimensional case
accepted in Communications in Computational Physics, 2025.
27. Yongle Liu*
accepted in SIAM Journal on Scientific Computing, 2025.
Published:
26. Yongle Liu* and Wasilij Barsukow
SIAM Journal on Scientific Computing, 47 (2025), A2041--A2073.
25. Yangyang Cao, Alexander Kurganov, Yongle Liu, Masoud Rostami, and Vladimir Zeitlin
On the Dynamics of Equatorial Excited Dipolar Systems
Physics of Fluids, 37 (2025), p. 056618.
24. Rémi Abgrall, Jianfang Lin, and Yongle Liu
Active Flux for triangular meshes for compressible flows problems
Beijing Journal of Pure and Applied Mathematics, 2 (2025), pp.1--33.
23. Rémi Abgrall and Yongle Liu*
SIAM Journal on Scientific Computing, 46 (2024), A3375-A3400.
22. Yangyang Cao, A. Kurganov, Yongle Liu*, and Vladimir Zeitlin
Journal of Computational Physics, 515 (2024), 113273.
21. Yangyang Cao, Alexander Kurganov, and Yongle Liu*
Communications in Computational Physics, 34 (2023), pp. 993–1042.
20. Xi Chen, Alexander Kurganov, and Yongle Liu*
Journal of Scientific Computing, 95 (2023), Paper No. 95, 38 pp.
19. Yangyang Cao, Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
Journal of Computational Physics, 474 (2023), 111790.
18. Alexander Kurganov, Yongle Liu, and Ruixiao Xin
Well-Balanced Path-Conservative Central-Upwind Schemes Based on Flux Globalization
Journal of Computational Physics, 474 (2023), 111773.
17. Bao Shan Wang, Wai Sun Don, Alexander Kurganov, and Yongle Liu
Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes
Communications on Applied Mathematics and Computation, 5 (2023), pp. 295–314.
16. Yangyang Cao, Alexander Kurganov, Yongle Liu*, and Ruixiao Xin
Journal of Scientific Computing, 92 (2022), Paper No. 69, 31 pp.
15. Alexander Kurganov, Yongle Liu*, and Maria Lukacova-Medvidova
SIAM Journal on Scientific Computing, 44 (2022), A1655-A1680.
14. Alina Chertock, Alexander Kurganov, Xin Liu, Yongle Liu*, and Tong Wu
Well-Balancing Via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
Journal of Scientific Computing, 90 (2022), Paper No. 9, 21 pp.
13. Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
Physics of Fluids, 33 (2021), 106606.
12. Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
Numerical Dissipation Switch for Two-Dimensional Central-Upwind Schemes
ESAIM: Mathematical Modelling and Numerical Analysis, 55 (2021), 713-734.
11. Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
Geophysical and Astrophysical Fluid Dynamics, 115 (2021), 125-154.
10. Naveen Kumar Garg, Alexander Kurganov, and Yongle Liu*
Semi-Discrete Central-Upwind Rankine-Hugoniot Schemes for Hyperbolic Systems of Conservation Laws
Journal of Computational Physics, 428 (2021), 110078.
9. Christian Klingenberg, Alexander Kurganov, Yongle Liu*, and Markus Zenk
Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations
Communications in Mathematical Research, 36 (2020), pp. 247-271.
8. Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
Moist-Convective Thermal Rotating Shallow Water Model
Physics of Fluids, 32 (2020), 066601.
7. Ling Guo, Akil Narayan, Yongle Liu, and Tao Zhou
Sparse Approximation of Data-Driven Polynomial Chaos Expansions: An Induced Sampling Approach
Communications in Mathematical Research, 36 (2020), pp. 128-153.
6. Alexander Kurganov, Yongle Liu*, and Vladimir Zeitlin
A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations
Journal of Computational Physics, 411 (2020), 109414.
5. Alina Chertock, Alexander Kurganov, and Yongle Liu*
Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
Communications in Computational Physics, 27 (2020), pp. 480-502.
4. Ling Guo, Yongle Liu, and Tao Zhou
Data-driven polynomial chaos expansions: a weighted least-squares approximation
Journal of Computational Physics, 381(2019), pp. 129-145.
3. Ling Guo, Jing Li, and Yongle Liu
Stochastic Collocation Methods via Minimisation of the Transformed L1-Penalty
East Asian Journal on Applied Mathematics, 8 (2018), pp. 566-585.
2. Ling Guo, Yongle Liu, and Liang Yan
Sparse Recovery via Lq -Minimization for Polynomial Chaos Expansions
Numerical Mathematics: Theory, Methods and Applications, 4(2017), pp. 775-797.
1. Yongle Liu and Ling Guo
East Asian Journal on Applied Mathematics, 6 (2016), pp. 171-191.
October, 2024--October, 2025: UZH Postdoc Grant
September, 2021: EASIAM Student Paper Award--2nd Prize (awarded by East Asia section of SIAM)
November, 2020: National Scholarship for doctoral students (博士研究生国家奖学金, awarded by Ministry of Education of the P. R. China)
December, 2019: National Scholarship for doctoral students (博士研究生国家奖学金, awarded by Ministry of Education of the P. R. China)
December, 2016: National Scholarship for Postgraduates (硕士研究生国家奖学金, awarded by Ministry of Education of the P. R. China)
November, 2013: National Scholarship (国家奖学金, awarded by Ministry of Education of the P. R. China)
Academic Activities:
Invited Mini-symposia Speaker: Twenty-third Annual Conference of China Society for Industrial and Applied Mathematics (CSIAM2025), Changsha, Hunan province, China, October 23-26, 2025.
Invited Mini-symposia Speaker: ENUMATH 2025 conference, Heidelberg, Germany, September 01-05, 2025.
Invited Mini-symposia Speaker: Annual Conference of China Society for Computational Mathematics, Changsha, Hunan, China, August 17–21.
Invited Mini-symposia Speaker: ICOSAHOM 2025---The 15th International Congress on Spectral and High Order Methods, Montréal, Canada, July 13-18, 2025.
Contributed talk at SPP2410 Workshop: Mathematics of compressible fluids---analysis and numerics, Clausthal-Zellerfeld, Germany, June 23-27, 2025.
Contributed talk at Numhyp25: Numerical Methods for Hyperbolic Problems, Darmstadt, Germany, June 9-13, 2025.
Pink Shark-FV Workshop: Minho, Portugal, June 2-6, 2025.
Contributed talk at 3C Conference: Challenges in Computational methods for Complex environmental applications, Chambéry, France, May 21-23, 2025.
Invited talk: SUSTech Global Mathematics Young Scholars Forum, Shenzhen, China, November 16, 2024.
Invited Mini-symposia Speaker: HYP2024---The 19th International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'', Shanghai, China, July 1-5, 2024.
Invited Mini-symposia Speaker: ECCOMAS CONGRESS 2024, 9th European Congress on Computational Methods in Applied Sciences and Engineering, Lisbon, Portugal, June 3-7, 2024.
Invited Shark-FV Speaker: The Gold Shark-FV Conference, Minho, Portugal, May 26-31, 2024.
Invited Mini-symposia Speaker: ALGORITMY 2024, Central-European Conference on Scientific Computing, Slovakia, March 15-20, 2024.
Contributed talk: PAMIR--Simultaneously used Point values, Averages and Moments and their Inter-Relation: Active Flux, Multi-Moment Method, Virtual Finite Elements and related numerical methods, Maxwell Center, Cambridge, UK, March 6-March 8, 2024.
Invited Oberwolfach Workshop Speaker: Hyperbolic Balance Laws: Interplay between Scales and Randomness, Mathematisches Forschungsinstitut Oberwolfach, Germany, February 25-March 1, 2024.
Contributed talk: Opening Workshop--Recent Advances in Numerical Methods for Hyperbolic Conservation Laws, Shenzhen International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China, December 9-15, 2023.
Invited Mini-symposia Speaker: ICIAM2023, Waseda University, Tokyo, Japan, August 20-25, 2023.
Contributed talk: NumHyp 2023 (Numerical methods for hyperbolic problems), Bordeaux, France, June 26-30, 2023.
Contributed talk: Essentially hyperbolic problems: unconventional numerics and applications---A conference in honor of Rémi Abgrall's 61st birthday, Monte Verità, Ascona, Switzerland, October 9—14, 2022.
Contributed talk: Swiss Numerics Day 2022, Zurich, Switzerland, September 12, 2022.
Invited Mini-symposia Speaker: Minisyposia---Well-Balanced Numerical Discretizations of Geophysical Models in SIAM Conference on Mathematical \& Computational Issues in the Geosciences (GS21), Zoom meeting, June 21, 2021.
Contributed talk: Oberwolfach Seminar---Structure-preserving Methods for Nonlinear Hyperbolic Problems, Mathematisches Forschungsinstitut Oberwolfach, Germany, November 24—30, 2019.
Contributed talk: International conference on Structure Preserving Numerical Methods for Hyperbolic PDEs. Shenzhen, China, November 2-4, 2019.
Contributed talk: the mathematics of climate and the environment, Institute of Henri Poincare, Paris, France, October 4—17, 2019.
Poster: Finite-Volume-Particle methods for the Two-Component Camassa-Holm system, on Numerical methods for hyperbolic problems 2019, Malaga, Spain, June 17-21, 2019.