Meshless Theories, Algorithms and Applications:

1. Applicability of the method of fundamental solutions.
   T. W. Drombosky, A. L. Meyer and L. Ling.
   Engineering Analysis with Boundary Elements. To appear.
   
2. On convergent numerical algorithms for unsymmetric collocation.
   C.-F. Lee, L. Ling and R. Schaback.
   Advances in Computational Mathematics. 2008. To appear.
3. Stable and convergent unsymmetric meshless collocation methods.
   L. Ling and R. Schaback.
   SIAM Numerical Analysis, 46(3):1097-1115, 2008.
4. Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems.
   Z. C. Li, H. T. Huang, J. Huang and L. Ling.
   Engineering Analysis with Boundary Elements, 31(2):163-175. 2007.
5. The role of the multiquadric shape parameters in solving elliptic partial differential equations.
   J. Wertz, E. J. Kansa and L. Ling.
   Computers and Mathematics with Applications, 51(8):1335-1348. 2006.
6. Results on meshless collocation techniques.
   L. Ling, R. Opfer and R. Schaback.
   Engineering Analysis with Boundary Elements.30(4): 247-253. 2006.
7. Adaptive multiquadric collocation for boundary layer problems.
   L. Ling and M. R. Trummer.
   Computational and Applied Mathematics. 188(2):265-282. 2006.
8. Improved numerical solver for Kansa's method based on Affine space decomposition.
   L. Ling and Y. C. Hon.
   Engineering Analysis with Boundary Elements. 29(12):1077-1085. 2005.
9. On approximate cardinal preconditioning methods for solving PDEs with radial basis functions.
   D. Brown, L. Ling, E. J. Kansa and J. Levesley.
   Engineering Analysis with Boundary Elements. 29(4):343-353. 2005
10. A least squares preconditioner for radial basis functions collocation methods.
    L. Ling and E. J. Kansa.
    Advances in Computational Mathematics. 23(1-2):31-54. 2005.
11. Multidimensional quasi-interpolation formula with dimension-splitting multiquadric basis.
    L. Ling.
    Applied Mathematics and Computation. 161(1):195-209. 2005.
12. Numerical analysis of parameters in a laminated beam model by radial basis functions.
    Y. C. Hon, L. Ling and K. M. Liew.
    CMC Computers, Materials & Continua. 2(1):39-50. 2005.
13. Preconditioning for radial basis functions with domain decomposition methods.
    L. Ling and E. J. Kansa.
    Mathematical and Computer Modelling. 40(13):1413-1427. 2004.
14. A univariate quasi multiquadric interpolation with better smoothness.
    L. Ling.
    Computers and Mathematics with Applications. 48(5-6):897-912. 2004.
15. A volumetric integral radial basis function method for time dependent partial differential equations.
    E. J. Kansa, H. Power, G. E. Fasshauer and L. Ling.
    Engineering Analysis with Boundary Elements. 28(10):1191-1206. 2004.
16. Multiquadric collocation method with integral formulation for boundary layer problems.
    L. Ling and M. R. Trummer.
    Computers and Mathematics with Applications. 48(5-6):927-941. 2004.

Inverse Problems:

1. Point sources identification problems for heat equations.
   L. Ling, and T. Takeuchi.
   CiCP Communications in Computational Physics. 5(5):897-913. 2009.
2. Boundary control for inverse Cauchy problems of the Laplace equations.
   L. Ling, and T. Takeuchi.
   CMES Computer Modeling in Engineering & Sciences. 29(1):45-54. 2008.
3. An accurate refinement scheme for inverse heat source location identifications.
   L. Ling, and T. Takeuchi.
   CMES Computer Modeling in Engineering & Sciences. 20(2): 99-110. 2007.
4. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators.
   T. Wei, Y. C. Hon and L. Ling.
   Engineering Analysis with Boundary Elements. 31(4): 373-385. 2007.
5. Finding numerical derivatives for unstructured and noisy data by multiscale kernels.
   L. Ling.
   SIAM Numerical Analysis, 44(4): 1780-1800. 2006.
6. Identification of source locations in two-dimensional heat equations.
   L. Ling, Y. C. Hon, M. Yamamoto and T. Takeuchi.
   Inverse Problems, 22(4):1289-1305. 2006.
7. Inverse source identification for Poisson equation.
   L. Ling, Y. C. Hon and M. Yamamoto.
   Inverse Problems in Science and Engineering. 13(4):433-447. 2005.

Book Chapters/Monographs:

1. Arbitrary precision compuations of Kansa's method.
   L. Ling.
   In A. Ferreira, E. J. Kansa, G. Fasshauer, V. Leitão, editors, Progress on meshless methods, Series: Computational Methods in Applied Sciences, Vol. 11, Springer, New York, 2008.
2. A computational method for solving Cauchy problems of elliptic operators.
   Y. C. Hon, T. Wei, and L. Ling.
   In G. R. Liu, V. B. C. Tan, and X. Han, editors, Computational methods, pages 1375–1384. Springer, New York, 2006.

Based on the ISI Web of Science (As of Oct 16, 2008)
Times Cited = 109, g-index = 9, h-index = 7.