Numerical PDEs and scientific computing
Numerical methods for partial differential equations and scientific computing.
Professor of Mathematics · HKUST
Numerical ideas for waves, interfaces, and inverse problems.
Shingyu Leung develops numerical methods for partial differential equations and scientific computing, connecting geometry, dynamics, imaging, and inverse problems.
Research record
Recent publications
Fast Operator-Splitting Methods for Nonlinear Elliptic Equations
Jingyu Yang, Shingyu Leung, Jianliang Qian, Hao Liu
Operator-splitting methods for L2 optimal-transport using a convexity-preserving formulation of the Monge–Ampère equation
Jingyu Yang, Shingyu Leung, Jianliang Qian, Hao Liu
High-Order Spherical Runge-Kutta Schemes Based on Spherical Linear Extrapolation
Young Kyu Lee, Shingyu Leung
A Multilayer Level-set Method for Eikonal-based Traveltime Tomography
Wenbin Li, Ken K.T. Hung, Shingyu Leung
Efficient Hadamard Integrators for Time-Dependent Wave Equations in Bounded Domains: Forward and Backward Propagation
Yuxiao Wei, Shingyu Leung, Robert Burridge, Jianliang Qian
Areas of inquiry
Research areas
Waves and inverse problems
Eulerian techniques for high-frequency wave phenomena and related inverse problems.
Interfaces and imaging
Numerical methods for interfacial motion, with variational and statistical methods for image processing.
24th Annual Conference of the China Society for Industrial and Applied Mathematics (CSIAM 2026)
Lanzhou, Gansu
Event detailsMentoring
People and mentoring
Current researchers, students, and former members of the group.
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Teaching
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