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Current Research Interests
Numerical analysis
Partial differential equations
Meshfree method
Radial basis function
Adaptive greedy algorithm
Inverse problems
Selected Publications
- On variable and random shape Gaussian interpolations.
S.N. Chiu, L. Ling and M. McCourt.
Applied Mathematics and Computation. 377: 125159. 2020.
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Extrinsic Meshless Collocation Methods for PDEs on Manifolds.
M. Chen and L. Ling .
SIAM Journal on Numerical Analysis. 58(2): 988-1007. 2020.
- Kernel-based meshless collocation methods for solving coupled bulk-surface PDEs.
M. Chen and L. Ling .
Journal of Scientific Computing. 81(1): 375-391. 2019.
- Discrete least-squares radial basis functions approximations.
S. Li, L. Ling and K.C. Cheung.
Applied Mathematics and Computation. 355: 542-552. 2019.
- A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces.
A. Petras, L. Ling, C. Piret and S. Ruuth.
Journal of Computational Physics. 381: 146-161. 2019.
- Doubly stochastic radial basis function methods.
F. L. Yang, L. Yan and L. Ling.
Journal of Computational Physics. 363: 87-97. 2018.
- On meshfree numerical differentiation.
L. Ling and Q. Ye.
Analysis and Applications. 16(5): 717-739. 2018.
- Fully adaptive kernel-based methods.
L. Ling and S.N. Chiu.
International Journal for Numerical Methods in Engineering. 114(4): 454-467. 2018.
- A kernel-based embedding method and convergence analysis for surfaces PDEs.
K.C. Cheung and L. Ling.
SIAM Journal on Scientific Computing. 40(1), A266-A287. 2018.
- H2-convergence of least-squares kernel collocation methods.
K.C. Cheung, L. Ling and R. Schaback.
SIAM Journal on Numerical Analysis. 56(1): 614-633. 2018.
- A fast block-greedy algorithm for quasi-optimal meshless trial subspace selection.
L. Ling .
SIAM Journal on Scientific Computing. 38(2): A1224–A1250. 2016.
- Numerical Caputo differentiation by radial basis functions.
M. Li, Y. Wang, and L. Ling.
Journal of Scientific Computing. 62(1):300–315. 2015.
- Numerical simulations of 2D fractional subdiffusion problems.
H. Brunner, L. Ling and M. Yamamoto .
Journal of Computational Physics. 229(18):6613-6622. 2010.
- Stable and convergent unsymmetric meshless collocation methods.
L. Ling and R. Schaback.
SIAM Journal on Numerical Analysis. 46(3):1097-1115. 2008.
- Applicability of the method of fundamental solutions.
T. W. Drombosky, A. L. Meyer and L. Ling .
Engineering Analysis with Boundary Elements. 33(5): 637-643. 2009.
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