Projects per year
Personal profile
Research interests
Mathematics & Statistics - Applied mathematics
Mathematics & Statistics - Computational mathematics
Mathematics & Statistics - Nonlinear partial differential equations
Mathematics & Statistics - Scientific computation
Mathematics & Statistics - Computational mathematics
Mathematics & Statistics - Nonlinear partial differential equations
Mathematics & Statistics - Scientific computation
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Related documents
Education/Academic qualification
PhD in Mathematics, PhD, University of California, Los Angeles
2006
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Dive into the research topics where Shing Yu LEUNG is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Spherical Total Variation Diminishing Runge-Kutta (STVDRK) Schemes
LEUNG, S. Y. (PI)
1/01/25 → 31/12/27
Project: Research
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Essentially Non-Oscillatory (ENO) Scheme for Spherical Data Interpolation
LEUNG, S. Y. (PI)
1/08/23 → 31/07/26
Project: Research
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Numerical Methods for Hyperbolic Partial Differential Equations on Surfaces
LEUNG, S. Y. (PI)
1/01/20 → 30/06/23
Project: Research
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Numerical Approaches for Dynamic Interface Problems and Their Applications
LEUNG, S. Y. (PI)
1/01/17 → 31/12/19
Project: Research
Research output
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An adaptive ray-tracing method for eikonal equations on spheres using STVDRK integrators and SENO interpolations
Chau, W. M. & Leung, S., 15 Sept 2025, In: Journal of Computational Physics. 537, 114100.Research output: Contribution to journal › Journal Article › peer-review
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An Eulerian variance-based finite-time Lyapunov exponent (vFTLE) approach for flows with uncertainties
You, G., Chau, W. M. & Leung, S., 5 Nov 2025, In: Journal of Computational Physics. 541, 114353.Research output: Contribution to journal › Journal Article › peer-review
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A Semi-lagrangian Spherical Essentially Non-oscillatory (SENO) Scheme for Advection Equations of S2-Valued Functions
Leung, S., 1 Nov 2025, Spectral and High-Order Methods for Partial Differential Equations ICOSAHOM 2023 - Selected Papers from the ICOSAHOM Conference, 2023. Chun, S., Jung, J.-H., Park, E.-J. & Shen, J. (eds.). Springer Science and Business Media Deutschland GmbH, p. 313-327 15 p. (Lecture Notes in Computational Science and Engineering; vol. 142 LNCSE).Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review
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A Uniformly Accurate Diffeomorphic Embedding Method for Solving Eikonal Equations on Implicit Surfaces
WEI, Y., QIAN, J. & LEUNG, S., Dec 2025, In: SIAM Journal on Scientific Computing. 47, 6, p. 3413-3440 28 p.Research output: Contribution to journal › Journal Article › peer-review
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A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
Lee, Y. K. & Leung, S., Jun 2024, In: Communications on Applied Mathematics and Computation. 6, 2, p. 1189-1216 28 p.Research output: Contribution to journal › Journal Article › peer-review