3 papers
math.NA2026
Trajectory-Based RBF Collocation Method via Closest-Point Embedding for Surface Advection-Diffusion Equations
Xiaobin Li, Leevan Ling, Yizhong Sun
We introduce a Trajectory-Based RBF Collocation (TBRBF) method for solving surface advection-diffusion equations on smooth, compact manifolds. TBRBF decouples advection and diffusi…
math.NA2026
Local Regularity Estimation through Sobolev-Scale Norm Profile
Xiaobin Li, Leevan Ling, Yizhong Sun
We develop a kernel-based approach for estimating the spatially varying Sobolev regularity~ of an unknown -variate function~ from scattered sampling data, which quantifies…
math.NA2025
Energy-conserving Kansa methods for Hamiltonian wave equations
Xiaobin Li, Meng Chen, Zhengjie Sun +2
We introduce a fast, constrained meshfree solver designed specifically to inherit energy conservation (EC) in second-order time-dependent Hamiltonian wave equations. For discretiza…