Author

Shing-Yu Leung

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Preprint Oct 2026

A Structure-Preserving Scheme for Computing the Gradient of the Eikonal Equation

We propose a first-order, structure-preserving method for directly computing the normalized traveltime gradient of the eikonal equation in smooth first-arrival regions. The method combines analytical derivatives of spherical linear interpolation (SLERP) in a Godunov-type upwind discretization with spherical forward Eul...

Ka-Lun Leung, Shing-Yu Leung · 0 citations