14 citations · 25 across the 6 of their papers we have counts for
6 papers
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…
Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces
Zhengjie Sun, Leevan Ling, Meng Chen
In this paper, we propose a general meshless structure-preserving Galerkin method for solving dissipative PDEs on surfaces. By posing the PDE in the variational formulation and sim…
Proving the stability estimates of variational least-squares Kernel-Based methods
Meng Chen, Leevan Ling, Dongfang Yun
Motivated by the need for the rigorous analysis of the numerical stability of variational least-squares kernel-based methods for solving second-order elliptic partial differential…
Exploring Oversampling in RBF Least-Squares Collocation Method of Lines for Surface Diffusion
Meng Chen, Leevan Ling
This paper investigates the numerical behavior of the radial basis functions least-squares collocation (RBF-LSC) method of lines (MoL) for solving surface diffusion problems, build…
A kernel-based least-squares collocation method for surface diffusion
Meng Chen, Ka Chun Cheung, Leevan Ling
There are plenty of applications and analysis for time-independent elliptic partial differential equations in the literature hinting at the benefits of overtesting by using more co…
Kernel-based collocation methods for heat transport on evolving surfaces
Meng Chen, Leevan Ling
We propose algorithms for solving convective-diffusion partial differential equations (PDEs), which model surfactant concentration and heat transport on evolving surfaces, based on…