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A-4484-2009
51
1139
22.33
20
33
Sept.2017


Journal Articles:

  1. H2-Convergence of least-squares kernel collocation methods.
    K.C. Cheung, L. Ling and R. Schaback.
    SIAM Journal on Numerical Analysis. Accepted, 2017.
  2. A Kernel-based embedding method and convergence analysis for surfaces PDEs.
    K.C. Cheung and L. Ling.
    SIAM Journal on Scientific Computing. Accepted, 2017.
  3. Convergence studies for an adaptive meshless least-squares collocation method. BibTeX
    K.C. Cheung and L. Ling.
    International Journal of Computational Methods and Experimental Measurements. 5(3) : 377-386. 2017.
  4. Meshless collocation methods with graph Laplacian for PDEs on folded surface. BibTeX
    K.C. Cheung and L. Ling.
    Neural, Parallel, and Scientific Computations. 25: 79-90. 2017.
  5. Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue. BibTeX
    Z. J. Fu, Q. Xi, L. Ling and C.-Y. Cao.
    International Journal of Heat and Mass Transfer. 108, Part A, 1154–1163. 2017.
  6. A fractional model for time-variant non-Newtonian flow. BibTeX
    X. Yang, W. Chen, R. Xiao and L. Ling.
    Thermal Science. 21(1A): 61-68. 2017.
  7. A fast block-greedy algorithm for quasi-optimal meshless trial subspace selection. BibTeX
    L. Ling.
    SIAM Journal on Scientific Computing. 38(2): A1224–A1250. 2016.
  8. Regularization for 2-D fractional sideways heat equations. BibTeX
    C. Wang, L. Ling, X. Xiong and M. Li.
    Numerical Heat Transfer Fundamentals. 68(5):418–433. 2015
  9. A localized meshless method for diffusion on folded surfaces. BibTeX
    K.C. Cheung, L. Ling and S. Ruuth.
    Journal of Computational Physics. Vol.297: 194–206. 2015
  10. Method of approximate particular solutions for constant- and variable-order fractional diffusion models. BibTeX
    Z.-J. Fu, W. Chen, and L. Ling.
    Engineering Analysis with Boundary Elements. Vol.57: 37–46. 2015.
  11. Numerical Caputo differentiation by radial basis functions. BibTeX
    M. Li, Y. Wang, and L. Ling.
    Journal of Scientific Computing. 62(1):300–315. 2015.  
  12. Solving moving-boundary problems with the wavelet adaptive radial basis functions method. BibTeX
    L. Vrankar, N. A. Libre, L. Ling, G. Turk, and F. Runovc.
    Computers and Fluids.  86(5):37–44. 2013.
  13. Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs. BibTeX
    A. Shirzadi, and L. Ling.
    AAMM Advances in Applied Mathematics and Mechanics. 5(1):78–89. 2013.
  14. Numerical simulations for space-time fractional diffusion equations. BibTeX
    L. Ling, and M. Yamamoto.
    International Journal of Computational Methods. 10(2):1341001. 2013.   
  15. Combinations of the method of fundamental solutions for general inverse source identification problems. BibTeX
    F. Wand, W. Chen, and L. Ling.
    Applied Mathematics and Computation. 219(3):1173–1182. 2012.
  16. Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. BibTeX
    A. Shirzadi, L. Ling, and S. Abbasbandy.
    Engineering Analysis with Boundary Elements. 36(11):1522–1527. 2012.
  17. An adaptive-hybrid meshfree approximation method. BibTeX
    L. Ling.
    International Journal for Numerical Methods in Engineering. 89(5):637-657. 2012
  18. On numerical experiments for Cauchy problems of elliptic operators. BibTeX
    F. L. Yang, and L. Ling.
    Engineering Analysis with Boundary Elements. 35(7):879–882. 2011.
  19. Numerical methods for backward Markov chain driven Black-Scholes option pricing. BibTeX
    C. Y. Au, S. L. Fung, and L. Ling.
    Frontiers of Mathematics in China. 6(1):17-33. 2011.
  20. An energy regularization for Cauchy problems of Laplace equation in annulus domain. BibTeX
    H. Han, L. Ling, and T. Takeuchi.
    CiCP Communications in Computational Physics. 9(4):878-896. 2011.
  21. Approximate unconditional test procedure for comparing two ordered multinomials computational statistics and data analysis. BibTeX
    M. L. Tang, W.-Y. Poon, L. Ling, Y. Liao, and H.-W. Chui.
    Computational Statistics and Data Analysis. 55(2): 955–963. 2011.
  22. Optimality of the method of fundamental solutions. BibTeX
    K. Y. Wong and L. Ling.
    Engineering Analysis with Boundary Elements. 35(1):42–46. 2011.
  23. Adaptive method of particular solution for solving 3D inhomogeneous elliptic equations. BibTeX
    C. S. Chen, T. O. Kwok and L. Ling.
    International Journal of Computational Methods. 7(3):499-511. 2010.
  24. An adaptive greedy technique for inverse boundary determination problem. BibTeX
    F. L. Yang, L. Ling and T. Wei.
    Journal of Computational Physics. 229(22):8484–8496. 2010.
  25. Dimension-splitting data points redistribution for meshless approximation. BibTeX
    T. O. Kwok and L. Ling.
    Journal of Computational and Applied Mathematics. 235(3):736-746. 2010.
  26. Moving-boundary problems solved by adaptive radial basis functions. BibTeX
    L. Vrankar, E. J. Kansa, L. Ling, F. Runovc and G. Turk.
    Computers and Fluids. 39(9):1480-1490. 2010.
  27. Numerical simulations of 2D fractional subdiffusion problems. BibTeX
    H. Brunner, L. Ling and M. Yamamoto.
    Journal of Computational Physics. 229(18):6613-6622. 2010
  28. Confidence intervals for a difference between proportions based on paired data. BibTeX
    M. L. Tang, M. H. Ling, L. Ling and G. L. Tian.
    Statistics in Medicine. 29(1): 86-96. 2010.
  29. Effective condition number for boundary knot method. BibTeX
    F. Z. Wang, L. Ling and W. Chen.
    CMC Computers, Materials & Continua. 12(1):57-70. 2009.
  30. An improved subspace selection algorithm for meshless collocation methods. BibTeX
    L. Ling and R. Schaback.
    International Journal for Numerical Methods in Engineering. 80(13):1623-1639. 2009.
  31. On convergence of a least-squares Kansa's method for the modified Helmholtz equations. BibTeX
    T. O. Kwok and L. Ling.
    AAMM Advances in Applied Mathematics and Mechanics. 1(3):367-382. 2009.
  32. Numerical simulation of two-dimensional combustion using mesh-free methods. BibTeX
    E. J. Kansa, R. C. Aldredge and L. Ling.
    Engineering Analysis with Boundary Elements. 33(7):940-950. 2009.
  33. Point sources identification problems for heat equations. BibTeX
    L. Ling, and T. Takeuchi.
    CiCP Communications in Computational Physics. 5(5):897-913. 2009.
  34. On convergent numerical algorithms for unsymmetric collocation. BibTeX
    C.-F. Lee, L. Ling and R. Schaback.
    Advances in Computational Mathematics. 30(4):339-354. 2009.
  35. Applicability of the method of fundamental solutions. BibTeX
    T. W. Drombosky, A. L. Meyer and L. Ling.
    Engineering Analysis with Boundary Elements. 33(5): 637-643. 2009.
  36. Boundary control for inverse Cauchy problems of the Laplace equations. BibTeX
    L. Ling, and T. Takeuchi.
    CMES Computer Modeling in Engineering & Sciences. 29(1):45-54. 2008.
  37. Stable and convergent unsymmetric meshless collocation methods. BibTeX
    L. Ling and R. Schaback.
    SIAM Numerical Analysis. 46(3):1097-1115. 2008.
  38. Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems. BibTeX
    Z. C. Li, H. T. Huang, J. Huang and L. Ling.
    Engineering Analysis with Boundary Elements. 31(2):163-175. 2007.
  39. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. BibTeX
    T. Wei, Y. C. Hon and L. Ling.
    Engineering Analysis with Boundary Elements. 31(4): 373-385. 2007.
  40. An accurate refinement scheme for inverse heat source location identifications. BibTeX
    L. Ling, and T. Takeuchi.
    CMES Computer Modeling in Engineering & Sciences. 20(2): 99-110. 2007.
  41. Identification of source locations in two-dimensional heat equations. BibTeX
    L. Ling, Y. C. Hon, M. Yamamoto and T. Takeuchi.
    Inverse Problems. 22(4):1289-1305. 2006.
  42. Finding numerical derivatives for unstructured and noisy data by multiscale kernels. BibTeX
    L. Ling.
    SIAM Numerical Analysis. 44(4): 1780-1800. 2006.
  43. Adaptive multiquadric collocation for boundary layer problems. BibTeX
    L. Ling and M. R. Trummer.
    Computational and Applied Mathematics. 188(2):265-282. 2006.
  44. Results on meshless collocation techniques. BibTeX
    L. Ling, R. Opfer and R. Schaback.
    Engineering Analysis with Boundary Elements.30(4): 247-253. 2006.
  45. The role of the multiquadric shape parameters in solving elliptic partial differential equations. BibTeX
    J. Wertz, E. J. Kansa and L. Ling.
    Computers and Mathematics with Applications. 51(8):1335-1348. 2006.
  46. Inverse source identification for Poisson equation. BibTeX
    L. Ling, Y. C. Hon and M. Yamamoto.
    Inverse Problems in Science and Engineering. 13(4):433-447. 2005.
  47. On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. BibTeX
    D. Brown, L. Ling, E. J. Kansa and J. Levesley.
    Engineering Analysis with Boundary Elements. 29(4):343-353. 2005.
  48. Numerical analysis of parameters in a laminated beam model by radial basis functions. BibTeX
    Y. C. Hon, L. Ling and K. M. Liew.
    CMC Computers, Materials & Continua. 2(1):39-50. 2005.
  49. A least squares preconditioner for radial basis functions collocation methods. BibTeX
    L. Ling and E. J. Kansa.
    Advances in Computational Mathematics. 23(1-2):31-54. 2005.
  50. Multivariate quasi-interpolation formula with dimension-splitting multiquadric basis. BibTeX
    L. Ling.
    Applied Mathematics and Computation. 161(1):195-209. 2005.
  51. Improved numerical solver for Kansa's method based on affine space decomposition. BibTeX
    L. Ling and Y. C. Hon.
    Engineering Analysis with Boundary Elements. 29(12):1077-1085. 2005.
  52. Multiquadric collocation method with integral formulation for boundary layer problems. BibTeX
    L. Ling and M. R. Trummer.
    Computers and Mathematics with Applications. 48(5-6):927-941. 2004.
  53. A univariate quasi multiquadric interpolation with better smoothness. BibTeX
    L. Ling.
    Computers and Mathematics with Applications. 48(5-6):897-912. 2004.
  54. Preconditioning for radial basis functions with domain decomposition methods. BibTeX
    L. Ling and E. J. Kansa.
    Mathematical and Computer Modelling. 40(13):1413-1427. 2004.
  55. A volumetric integral radial basis function method for time dependent partial differential equations. BibTeX
    E. J. Kansa, H. Power, G. E. Fasshauer and L. Ling.
    Engineering Analysis with Boundary Elements. 28(10):1191-1206. 2004.

Book Chapters/Monographs:

  1. Advanced Mesh-based and Particle-based Numerical Methods for Engineering and Applied Mathematics Problems.
    C.-T. Wu, L. Wang, B. Bonello, L. Ling, N. Ma, M. A. Schweitzer (Eds.), Hindawi, 2017
  2. Collocation and optimization initialization.
    E. J. Kansa, and L. Ling. In A.H-D. Cheng, C. A. Brebbia (Eds.), WIT Transactions on Modelling and Simulation, Vol. 57, page 55-62, 2014.
  3. Mathematics of Fairness.
    S. N. Chiu, and L. Ling. Series: Hong Kong Mathematical Society Texts in General Education, Vol. 1, Pearson Education Asia, 2012.
  4. Manage Your Money without Formulas.
    L. Ling. Series: Hong Kong Mathematical Society Texts in General Education, Vol. 2, Pearson Education Asia, 2012.
  5. Discovering Hong Kong by SPSS.
    H. W. Chiu, and L. Ling. Series: Hong Kong Mathematical Society Texts in General Education, Vol. 3, Pearson Education Asia, 2012.
  6. Estimating the World.
    W. S. Don, and L. Ling. Series: Hong Kong Mathematical Society Texts in General Education, Vol. 4, Pearson Education Asia, 2012.
  7. Smart Decisions.
    W. C. Shiu, and L. Ling. Series: Hong Kong Mathematical Society Texts in General Education, Vol. 8, Pearson Education Asia, 2012.
  8. Special Issue on Inverse Problems and Applications.
    M. Yamamoto, J. Cheng, Y. C. Hon, J.-Y. Lee, L. Ling, G.-R. Liu, J. Wang (Eds.), Applicable Anal., 91(4), 2012.
  9. Proceeding of the International Conference on Inverse Problems 2010.
    Y. C. Hon and L. Ling, editors, J. Phys. Conf. Ser., Vol. 290, 2011.
  10. Adaptive-hybrid meshfree method.
    L. Ling. In Ch Zhang, M. H. Aliabadi, M. Schanz (Eds.), Advances in Boundary Element Techniques XI,
    page 252-257. ECltd, England, 2010.
  11. Numerical methods and analysis for PDEs and inverse problems.
    C. S. Chen, M.-C. Lai, L. Ling, J. Li, M. Yamamoto (Eds.), Adv. Appl. Math. Mech. 1(6). 2009.
  12. Arbitrary precision compuations of Kansa's method.
    L. Ling. In A. Ferreira, E. J. Kansa, G. Fasshauer, V. Leitão (Eds.), Progress on meshless methods,
    Series: Computational Methods in Applied Sciences
    , Vol. 11, page 77-83, Springer, New York, 2008.
  13. 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 (Eds), Computational methods,
    page 1375–1384. Springer, New York, 2006


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