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math.NA2025
A multilayer level-set method for eikonal-based traveltime tomography
Wenbin Li, Ken K. T. Hung, Shingyu Leung
We present a novel multilayer level-set method (MLSM) for eikonal-based first-arrival traveltime tomography. Unlike classical level-set approaches that rely solely on the zero-leve…
math.NA2025
The Closest Point Heat Method for Solving Eikonal Equations on Implicit Surfaces
Tony Wong, Shingyu Leung, Byungjoon Lee
We introduce the Closest Point Heat Method (CPHM), a novel approach for solving the surface Eikonal equation on general smooth surfaces. Building on the strengths of the classical…
math.NA2025
A Spherical Crank-Nicolson Integrator Based on the Exponential Map and the Spherical Linear Interpolation
Shingyu Leung
We propose implicit integrators for solving stiff differential equations on unit spheres. Our approach extends the standard backward Euler and Crank-Nicolson methods in Cartesian s…