Leevan Ling

Orcid: 0000-0003-1779-0101

According to our database1, Leevan Ling authored at least 42 papers between 2004 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

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Bibliography

2025
Greedy trial subspace selection in meshfree time-stepping scheme with applications in coupled bulk-surface pattern formations.
Math. Comput. Simul., 2025

Proving the stability estimates of variational least-squares kernel-based methods.
Comput. Math. Appl., 2025

A novel localized least-squares collocation method for coupled bulk-surface problems.
Appl. Math. Comput., 2025

2024
Exploring oversampling in RBF least-squares collocation method of lines for surface diffusion.
Numer. Algorithms, November, 2024

A High-Order Meshless Linearly Implicit Energy-Preserving Method for Nonlinear Wave Equations on Riemannian Manifolds.
SIAM J. Sci. Comput., 2024

Realistic Pattern Formations on Surfaces by Adding Arbitrary Roughness.
SIAM J. Appl. Math., 2024

Learning PDEs from data on closed surfaces with sparse optimization.
CoRR, 2024

2023
A Kernel-Based Least-Squares Collocation Method for Surface Diffusion.
SIAM J. Numer. Anal., June, 2023

Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces.
CoRR, 2023

Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces.
CoRR, 2023

Realistic pattern formations on rough surfaces.
CoRR, 2023

2022
A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations.
SIAM J. Sci. Comput., August, 2022

A Time-Continuous Embedding Method for Scalar Hyperbolic Conservation Laws on Manifolds.
J. Sci. Comput., 2022

Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs.
J. Sci. Comput., 2022

Oversampling is a necessity for RBF-collocation method of lines.
CoRR, 2022

A stochastic extended Rippa's algorithm for LpOCV.
Appl. Math. Lett., 2022

2021
A localized extrinsic collocation method for Turing pattern formations on surfaces.
Appl. Math. Lett., 2021

2020
Extrinsic Meshless Collocation Methods for PDEs on Manifolds.
SIAM J. Numer. Anal., 2020

Kernel-based collocation methods for heat transport on evolving surfaces.
J. Comput. Phys., 2020

Adaptive radial basis function generated finite-difference (RBF-FD) on non-uniform nodes using p-refinement.
CoRR, 2020

On variable and random shape Gaussian interpolations.
Appl. Math. Comput., 2020

2019
Kernel-Based Meshless Collocation Methods for Solving Coupled Bulk-Surface Partial Differential Equations.
J. Sci. Comput., 2019

A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces.
J. Comput. Phys., 2019

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels.
Comput. Math. Appl., 2019

Discrete least-squares radial basis functions approximations.
Appl. Math. Comput., 2019

2018
A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs.
SIAM J. Sci. Comput., 2018

H<sup>2</sup>-Convergence of Least-Squares Kernel Collocation Methods.
SIAM J. Numer. Anal., 2018

Doubly stochastic radial basis function methods.
J. Comput. Phys., 2018

An RBF-FD closest point method for solving PDEs on surfaces.
J. Comput. Phys., 2018

2016
A Fast Block-Greedy Algorithm for Quasi-optimal Meshless Trial Subspace Selection.
SIAM J. Sci. Comput., 2016

2015
Numerical Caputo Differentiation by Radial Basis Functions.
J. Sci. Comput., 2015

A localized meshless method for diffusion on folded surfaces.
J. Comput. Phys., 2015

2012
Combinations of the method of fundamental solutions for general inverse source identification problems.
Appl. Math. Comput., 2012

2011
Approximate unconditional test procedure for comparing two ordered multinomials.
Comput. Stat. Data Anal., 2011

2010
Numerical simulations of 2D fractional subdiffusion problems.
J. Comput. Phys., 2010

Dimension-splitting data points redistribution for meshless approximation.
J. Comput. Appl. Math., 2010

2009
On convergent numerical algorithms for unsymmetric collocation.
Adv. Comput. Math., 2009

2008
Stable and Convergent Unsymmetric Meshless Collocation Methods.
SIAM J. Numer. Anal., 2008

2006
Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels.
SIAM J. Numer. Anal., 2006

2005
Multivariate quasi-interpolation schemes for dimension-splitting multiquadric.
Appl. Math. Comput., 2005

A least-squares preconditioner for radial basis functions collocation methods.
Adv. Comput. Math., 2005

2004
Preconditioning for radial basis functions with domain decomposition methods.
Math. Comput. Model., 2004


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