Current Research Interests
Numerical analysis
Partial differential equations
Meshfree method
Radial basis function
Adaptive greedy algorithm
Inverse problems
Selected Publications
1. [On variable and random shape Gaussian interpolations.](https://doi.org/10.1016/j.amc.2020.125159) <a href="https://www.math.hkbu.edu.hk/~lling/bib/VariableShape2020.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://www.math.hkbu.edu.hk/~lling/PDF/VariableShape2020.pdf"><img src="./icons/pdfdownload.png" alt="" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/hkbu_staff_publication/7068/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
S.N. Chiu, L. Ling and M. McCourt.
Applied Mathematics and Computation. [377](https://www.sciencedirect.com/science/journal/00963003/377/supp/C): 125159. 2020.
2. [Extrinsic Meshless Collocation Methods for PDEs on Manifolds.](https://doi.org/10.1137/17M1158641) <a href="https://www.math.hkbu.edu.hk/~lling/bib/ExtrinsicKansa.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/hkbu_staff_publication/6990/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
M. Chen and L. Ling.
SIAM Journal on Numerical Analysis. 58(2): 988-1007. 2020.
3. [Kernel-based meshless collocation methods for solving coupled bulk-surface PDEs.](https://doi.org/10.1007/s10915-019-01020-2) <a href="https://www.math.hkbu.edu.hk/~lling/bib/bulksurf2019.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/hkbu_staff_publication/6986/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
M. Chen and L. Ling.
Journal of Scientific Computing. 81(1): 375-391. 2019.
4. [Discrete least-squares radial basis functions approximations.](https://doi.org/10.1016/j.amc.2019.03.007) <a href="https://www.math.hkbu.edu.hk/~lling/bib/DLSRBF2019.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://www.math.hkbu.edu.hk/~lling/PDF/DLSRBF2019.pdf"><img src="./icons/pdfdownload.png" alt="" width="20" height="20"></a>
S. Li, L. Ling and K.C. Cheung.
Applied Mathematics and Computation. 355: 542-552. 2019.
5. [A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces.](https://doi.org/10.1016/j.jcp.2018.12.031) <a href="https://www.math.hkbu.edu.hk/~lling/bib/LSRBFFD2019.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://arxiv.org/abs/1901.01742"><img src="./icons/arXiv.png" alt="" width="20" height="20"></a>
A. Petras, L. Ling, C. Piret and S. Ruuth.
Journal of Computational Physics. [381](https://www.sciencedirect.com/science/journal/00219991/381/supp/C): 146-161. 2019.
6. [Doubly stochastic radial basis function methods.](https://doi.org/10.1016/j.jcp.2018.02.042) <a href="https://www.math.hkbu.edu.hk/~lling/bib/DSRBF2018.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/hkbu_staff_publication/6991/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
F. L. Yang, L. Yan and L. Ling.
Journal of Computational Physics. 363: 87-97. 2018.
7. [On meshfree numerical differentiation.](https://doi.org/10.1142/S021953051850001X) <a href="https://www.math.hkbu.edu.hk/~lling/bib/MND2018.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://www.math.hkbu.edu.hk/~lling/PDF/MeshfreeND2017.pdf"><img src="./icons/pdfdownload.png" alt="" width="20" height="20"></a>
L. Ling and Q. Ye.
Analysis and Applications. 16(5): 717-739. 2018.
8. [Fully adaptive kernel-based methods.](http://dx.doi.org/10.1002/nme.5750) <a href="https://www.math.hkbu.edu.hk/~lling/bib/systemfree2017.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/hkbu_staff_publication/6572"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
L. Ling and S.N. Chiu.
International Journal for Numerical Methods in Engineering. 114(4): 454-467. 2018.
9. [A kernel-based embedding method and convergence analysis for surfaces PDEs.](https://doi.org/10.1137/16M1080410) <a href="https://www.math.hkbu.edu.hk/~lling/bib/ManifoldKansa2017.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/hkbu_staff_publication/6462"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
K.C. Cheung and L. Ling.
SIAM Journal on Scientific Computing. 40(1), A266-A287. 2018.
10. [H2-convergence of least-squares kernel collocation methods.](https://doi.org/10.1137/16M1072863) <a href="https://www.math.hkbu.edu.hk/~lling/bib/CLSKansa2017.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/hkbu_staff_publication/6570"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
K.C. Cheung, L. Ling and R. Schaback.
SIAM Journal on Numerical Analysis. 56(1): 614-633. 2018.
11. [A fast block-greedy algorithm for quasi-optimal meshless trial subspace selection.](http://dx.doi.org/10.1137/15M1037627) <a href="https://www.math.hkbu.edu.hk/~lling/bib/Blockgreedy2016.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://www.math.hkbu.edu.hk/~lling/blockgreedy.m"><img src="./icons/Matlab.jpg" alt="" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/hkbu_staff_publication/6992/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
L. Ling.
SIAM Journal on Scientific Computing. 38(2): A1224–A1250. 2016.
12. [Numerical Caputo differentiation by radial basis functions.](http://dx.doi.org/10.1007/s10915-014-9857-6) <a href="https://www.math.hkbu.edu.hk/~lling/bib/NumCaputoDiff2015.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/math_ja/12"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
M. Li, Y. Wang, and L. Ling.
Journal of Scientific Computing. 62(1):300–315. 2015.
13. [Numerical simulations of 2D fractional subdiffusion problems.](http://dx.doi.org/10.1016/j.jcp.2010.05.015) <a href="https://www.math.hkbu.edu.hk/~lling/bib/fracdiff2010.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/math_ja/6"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
H. Brunner, L. Ling and M. Yamamoto.
Journal of Computational Physics. 229(18):6613-6622. 2010.
14. [Stable and convergent unsymmetric meshless collocation methods.](http://dx.doi.org/10.1137/06067300X) <a href="https://www.math.hkbu.edu.hk/~lling/bib/KansaLinOpt2008.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="https://repository.hkbu.edu.hk/math_ja/7/"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
L. Ling and R. Schaback.
SIAM Journal on Numerical Analysis. 46(3):1097-1115. 2008.
15. [Applicability of the method of fundamental solutions.](http://dx.doi.org/10.1016/j.enganabound.2008.10.007) <a href="https://www.math.hkbu.edu.hk/~lling/bib/AppMFS2009.txt"><img src="./icons/bibtex.png" alt="BibTeX" width="20" height="20"></a> <a href="http://repository.hkbu.edu.hk/math_ja/14"><img src="./icons/HKBUpdfdownload.png" alt="" width="20" height="20"></a>
T. W. Drombosky, A. L. Meyer and L. Ling.
Engineering Analysis with Boundary Elements. 33(5): 637-643. 2009.
