- YEUNG-Y6526+852 3442-0250

Prof. Benny Y. C. Hon's major research interests include meshless computation using radial basis functions for solving various types of partial differential equations and numerical methods for solving inverse problems based on fundamental solutions and reproducing kernels. He is particularly keen in promoting the meshless radial basis functions method for solving real physical problems such as simulations of tides and waves; multiphasic fluid flows; micro-electro-mechanical systems; inverse heat conduction; image reconstruction; financial options pricing and nonlocal nonlinear peridynamic models. His current research focus is on the development of integration-based meshless computational method which has been shown to have distinct advantages in truly meshless, highly accurate, and unconditionally stable for solving multi-dimensional boundary value problems (BVPs) under various kinds of stiffness boundary conditions defined in irregular domains.

Recently, he has been awarded the Top 2% most highly cited scientists. A list of the top 2% most highly cited scientists could be found in a report prepared by Prof. John Ioannidis and his team in Stanford University. The report identifies scholars who have published multiple highly cited papers ranked according to various metrics on citation impact from 1996 to 2022 across multiple fields of research, and lists out the top 2% of most highly cited scientists in their respective fields., 2022. Based on the Top Scientists Ranking for 2022 using H-index: In Mathematics, he has also been ranked No. 49 in China and No. 1021 in the world.

He is now serving as an Associate Editor for the Journal of Inverse Problems in Science and Engineering (IPSE) and Journal of Applicable Analysis; member on the editorial board for six international journals including the Journals of Advances in Computational Mathematics and Engineering Analysis with Boundary Elements with recent emphasis on meshless and mesh reduction methods. He has also co-edited several special issues on meshless computations and inverse problems for the Journals of Computers and Mathematics with Applications and Advances in Computational Mathematics. He is now co-editing a special Issue on Advanced Numerical and Computational Methods in Mechanics and Engineering for the Journal of Mathematics.

His educational research involves the identification and nurturing of mathematically gifted children. He had designed and offered several special gifted education programmes (MathCamp for gifted children 2001-02; Summer Workshop on art of mathematics at the La Salle College 2006-07; Talent, Aspiration, and Excellence programme for Hong Kong Academy for Gifted Education (HKAGE) students 2017-18; and Advanced Talent Education Programmes for Gifted Students in Hong Kong 2020-21 (The first Hong Kong Education Bureau (EDB)'s Gifted Education Fund) to stimulate students' intellectual interests and enthusiasm in studying mathematics through MATH@STEM project. He is now serving as adviser for Hong Kong Gifted Education Teachers' Association; Hong Kong Association for Parents of Gifted Children; and the HKSAR Education Bureau-Gifted Section.

###### Research Interests

- Kernel-Based Approximation
- Meshless Computation
- Inverse Problems
- Integrable Systems
- Gifted Education

###### Journal Articles (Refereed. Total 162)

- Ng K.S., Hon Jeffrey M.H., Chong Stephen C.C., Cheung Howard H.K., Chan Jeffrey, Lam Simon C., Hon Benny Y.C., Implementation of the compulsory universal testing (CUT) scheme in Hong Kong: mathematical simulations of a household-based pooling approach, Frontiers in Public Health, 14 December 2022.

DOI: http://dx.doi.org/10.3389/fpubh.2022.1053873 - Chan J., Ng K.S., Hon Y.C., Lam Simon C., Suggestions to minimize the vaccination hesitancy of children in Hong Kong, Letter to the Editor, Hong Kong Medical Journal, in press.
- Zhao W., Lei M. Hon Y.C., An improved finite integration method for nonlocal and nonlinear Schrödinger equations, Computers and Mathematics with Applications, Vol. 113, pp. 24-33, 2022.
- Zhao W. and Hon Y.C., An accurate and efficient numerical method for neural field models with transmission delays, Engineering Analysis with Boundary Elements, Vol. 135, pp. 206-216, 2022.
- Hon Y.C., Identification of mathematically gifted children from a modified multiple intelligence theory: a hong kong story, Research MI, GT College, Hong Kong, Vol. 2, No. 2, pp. 22-23, 2021.
- Li Y, Sam C.N., Hon Y.C., An integration preconditioning method for solving option pricing problem, International Journal of Computer Mathematics, Vol.98, Issue 2, pp. 367-388, 2021.
- Lei M., Sam C.N., Hon Y.C., Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations, Engineering Analysis with Boundary Elements, Vol. 111, pp. 22-31, 2020.
- Zhao W. and Y.C. Hon, An accurate and efficient numerical method for solving linear peridynamic models, Applied Mathematical Modelling, Vol. 74, pp. 113-131, 2019.
- Sam C.N. and Hon Y.C., Generalized finite integration method for solving multi-dimensional partial differential equations, Engineering Analysis with Boundary Elements, Vol. 99, pp. 248-259, 2019.
- Zhao W., Hon Y.C., Stoll M., Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PS), Applied Mathematics and Computation, Vol. 337, pp. 514-534, 2018.
- Zhao W., Hon Y.C., Stoll M., Localized radial basis functions-based pseudo-spectral method for nonlocal diffusion problems, Computers and Mathematics with Applications, Vol. 75, pp. 1685-1704, 2018.
- Li Y. and Hon Y.C., Finite integration method with Radial Basis Function for solving stiff problems, Engineering Analysis with Boundary Elements, Vol. 82, pp. 32-42, 2017.
- Deng Z.C., Hon Y.C., Isakov V., Recovery of time-dependent volatility in option pricing model, Inverse Problems, Vol. 32 (2016) 115010 (30pp).
- Song W., Chen W., Hon Y.C., Characterizing time dependent anomalous diffusion process: A survey on fractional derivative and nonlinear models, Physica A: Statistical Mechanics and Its Applications, Vol. 462, pp. 1244-1251, 2016.

DOI:http://d.doi.org/10.1016/j.physa.2016.06.145 - Feng Binlu and Hon Y.C., Expanding integrable models and their some reductions as well as Darboux transformations, Mathematical Research with Applications, Vol. 36, No. 3, pp. 301-327, May 2016.
- Liu Y., Deng Z.C., and Hon Y.C., Simultaneous identification of unknown initial temperature and heat source, Dynamic Systems and Applications, Vol. 25, pp. 583-602, 2016.
- Yun D.F. and Hon Y.C., Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems, Engineering Analysis with Boundary Elements, Vol. 67, pp.63-80, 2016.
- Li M., Tian Z.L., Hon Y.C., Chen C.S., and Wen P.H., Improved finite integration method for partial differential equations, Engineering Analysis with Boundary Elements, Vol. 64, pp. 230-236, 2016.
- Dou F.F. and Hon Y.C., Fundamental Kernel-Based Method for Backward Space-Time Fractional Diffusion Problem, Computers and Mathematics with Application, Vol. 71, pp. 356-367, 2016.
- Krahulec S., Sladek J., Sladek V., Hon Y.C., Meshless analyses for time-fractional heat diffusion in functionally graded materials, Engineering Analysis with Boundary Elements, Vol. 62, pp. 57-64, 2016.
- Yu Y., Xu D.H., Hon Y.C., Numerical algorithms for a sideways parabolic problem with variable coefficients, Applicable Analysis, Vol. 95, No. 4, pp. 874-901, 2016.

DOI:http://dx.doi.org/10.1080/00036811.2015.1038995 - Peng Jialin, Hon Y.C., Kong Dexing, A structural low rank regularization method for single image super-resolution, Machine Vision and Applications, Vol. 26, Issue 7, pp. 991-1005, 2015.

DOI:http://dx.doi.org/10.1007/s00138-015-0712-z - Yun D.F., Wen Z.H., Hon Y.C., Adaptive least squares finite integration method for higher-dimensional perturbation problems with multiple boundary layers, Applied Mathematics & Computation, Vol. 271, pp. 232-250, 2015.
- Yu Y., Xu D.H., Hon Y.C., Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients-Forward collocation with finite integration method, Engineering Analysis with Boundary Elements, Vol. 61, pp. 78-90, 2015.
- Li M., Chen C.S., Hon Y.C., Wen P.H., Finite integration method for solving multi-dimensional partial differential equations, Applied Mathematical Modelling, Vol. 39, pp. 4979-4994, 2015.
- Wei S., Chen W. and Hon Y.C., Implicit local radial basis function method for solving two-dimensional constant- and variable-order time fractional diffusion equations, Thermal Science, Vol. 19, pp. 59-67, 2015.

DOI:http://dx.doi.org/10.2298/TSCI15S1S59W - Li Y., Li M., and Hon Y.C., Improved finite integration method for multi-dimensional nonlinear Burgers’ equation with shock wave, Neural, Parallel & Scientific Computation, Vol. 23, pp. 63-86, 2015.
- Xiong X.T. Shi W.X. and Hon Y.C., A one-dimensional inverse problem in composite materials: regularization and error estimates, Applied Mathematical Modelling, Vol. 39, pp. 5480-5494, 2015.

DOI:http://dx.doi.org/10.1016/j.apm.2015.01.004 - Hon Y.C. and Schaback R., Direct Meshless Kernel Techniques for Time-Dependent Equations, Applied Mathematics and Computation, Vol. 258, pp. 220-226, 2015.

DOI:http://dx.doi.org/10.1016/j.amc.2014.12.140 - Hon Y.C., Sarler B. and D.F. Yun, Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface, Engineering Analysis with Boundary Elements, Vol. 57, pp. 2-8, 2015.

DOI:http://dx.doi.org/10.1016/j.enganabound.2014.11.006 - Zhong M., Hon Y.C. and S. Lu, Multiscale support vector approach for solving ill-posed problems, J. Scientific Computing (JOMP), Vol. 64, pp. 317-340, 2015.

DOI:http://dx.doi.org/10.1007/s10915-014-9934-x - Qian Z., Hon Y.C. and Xiong X.T., Numerical solution of two-dimensional radially symmetric inverse heat conduction problem, Journal of Inverse and Ill-posed Problems, Vol. 23, Issue 2, pp.121-134, 2015.
- Hon Y.C., Schaback R. and Zhong M., The meshless kernel-based method of lines for parabolic equations, Computers and Mathematics with Application, Vol. 68, pp. 2057-2067, 2014.
- Xiong X.T., Zhao L. and Hon Y.C., Stability estimate and modified regularization method for a Cauchy problem of fractional diffusion equation, Journal of Computational and Applied Mathematics, Vol. 272, pp. 180-194, 2014.
- Dou F.F. and Hon Y.C., Numerical computation for backward time-fractional diffusion equation, Engineering Analysis with Boundary Elements, Vol. 40, pp. 138-146, 2014.
- Deng Z.C., Hon Y.C. and Yang L., An optimal control method for nonlinear inverse diffusion coefficient problem, Journal of Optimization Theory and Applications, Vol. 160, pp. 890-910, 2014.
- Wen P.H., Hon Y.C., Li M. and Korakianitis T., Finite integration method for partial differential equations, Applied Mathematical Modelling, Volume 37, Issue 24, pp. 10092–10106, 2013.
- Xiong X.T. and Hon Y.C., Regularization error analysis on a one-dimensional inverse heat conduction problem in multi-layer domain, Inverse Problems in Science & Engineering, Vol. 21, No. 5, pp. 865-887, 2013.
- Li M., Hon Y.C., Korakianitis T. and Wen P.H., Finite integration method for nonlocal elastic bar under static and dynamic loads, Engineering Analysis with Boundary Elements, Vol. 37, No. 5, pp. 842-849, 2013.
- Duan Y., Hon Y.C. and Zhao W., Stability estimate on meshless unsymmetric collocation method for solving boundary value problems, Engineering Analysis with Boundary Elements, Vol. 37, pp. 666-672, 2013.
- Hon Y.C. and Schaback R., Solving the 3D Laplace equation by meshless collocation via harmonic kernels, Advances in Computational Mathematics, Vol. 38, pp. 1-19, 2013.
- Zheng Y.J., Yang Z.H. and Hon Y.C., Meshless collocation method for option pricing by variance gamma model, International Journal of Computational Methods, Vol. 10, No. 3, (2013) 1350004 (22 pages)
- Yamamoto M., Cheng J., Hon B., Lee J.Y., Ling L., Liu G.R., and Wang J.N., Preface, Applicable Analysis, Vol. 91, No. 4, pp. 615-616, 2012.
- Dou F.F. and Hon Y.C., Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation, Engineering Analysis with Boundary Elements, Vol. 36, pp. 1344-1352, 2012.
- Xiong X.T., Zhou Q., and Hon Y.C., An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization, Journal of Mathematical Analysis and Applications, Vol. 393, pp. 185-199, 2012.
- Sladek J, Slakek V., Wen P.H., and Hon Y.C., Inverse heat conduction problems in 3D anisotropic functionally graded solids, Journal of Engineering Mathematics, Vol. 75, pp. 157-171, 2012.
- Hon Y.C. and Wang Q., Construction of Quasi-periodic waves solutions for differential-difference equations, Zeitschrift für Naturforschung A, Vol. 67a, pp. 21-28, 2012.
- Fan E.G. and Hon Y.C., Super extension of Bell polynomials with applications to supersymmetric equations, Journal of Mathematical Physics, Vol. 53, 013503, 2012.
- Hon Y.C., Fan E. G., and Wang Q., Homotopy analysis method for Ablowitz-Ladik lattice, Zeitschrift für Naturforschung A., Vol. 66a, No. 10, pp. 375, 2011.
- Zhang Y.F. and Hon Y.C., Some evolution hierarchies derived from self-dual Yang-Mills equations, Commun. Theor. Phys., Vol. 56, pp. 856-872, 2011.
- Wen P.H. and Hon Y.C., Meshless computation for partial differential equations of fractional order, WIT Transactions on Modelling and Simulation, Vol. 52, pp. 333-343, 2011.
- Wen P.H., Hon Y.C and Xu Y.G., Inverse heat conduction problems by using particular solutions, Heat Transfer – Asian Research, Vol. 40, No. 2, pp. 171-186, 2011.
- Hon Y.C. and Fan E.G., Binary bell polynomial approach to the nonisospectral and variable-coefficient KP equations, IMA Journal of Applied Mathematics, pp. 1-16, 2011.
- Hon Y.C. and Fan E.G., Super quasi-periodic wave solutions and asymptotic analysis for N = 1 supersymmetric KdV-type equations, Theoretical Mathematical Physics, Vol. 166, No. 3, pp. 317-336, 2011.
- Hon Y.C. and Takeuchi T., Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem, Advances in Computational Mathematics, Vol. 34, pp. 167-183, 2011.
- Li M., Hon Y.C. and Chen C.S., A meshless method for solving nonhomogeneous Cauchy Problems, Engineering Analysis with Boundary Elements, Vol. 35, pp. 499-506, 2011.
- Fan E.G. and Hon Y.C., On a direct procedure for quasi-periodic wave solutions of the supersymmetric Ito’s equation, Reports on Math. Phys., Vol. 66, pp. 355-365, 2010.
- Fan E.G. and Hon Y.C., Quasi-periodic wave solutions of N = 2 supersymmetric KdV equation in superspace, Studies in Applied Mathematics, Vol. 125, Issue 4, pp. 343-371, 2010.
- Hon Y.C., Zhang Y.F. and Mei J. Q., Exact solution for differential-difference equations by Backlund transformation of Riccati equation, Modern Physics Letter B, Vol. 24, No. 27, pp. 2713-2724, 2010.
- Cheng J., Hon Y.C., and Yamamoto M., Preface to the special issue on inverse problems, Advances in Computational Mathematics, Vol. 33, No. 4, pp. 381-383, 2010.
- Li M., Jiang T., and Hon Y.C., A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem, Engineering Analysis with Boundary Elements, Vol. 34, Issue 9, pp. 785-792, 2010.
- Hon Y.C., Li M., and Melnikov Y.A., Inverse source identification by Green’s function, Engineering Analysis with Boundary Elements, Vol. 34, Issue 4, pp. 352-358, 2010.
- Yang Z.H. and Hon Y.C., A rational generalization of Fan’s method and its applilcation to generalized shallow water wave equations, Applied Mathematics and Computation, Vol. 216, Issue 7, pp. 1984-1995, 2010.
- Zhang Yufeng, Hon Y.C., and Mei Jianqin, A systematic method for solving differential-difference equations, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, pp. 2791-2797, 2010.
- Sladek J., Sladek V., Wen P.H., and Hon Y.C., The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method, Computer Modeling in Engineering & Sciences, Vol. 48, No. 2, pp. 191-218, 2009.
- Hon Y. C. and Fan E.G., Quasi-periodic solutions for modified Toda lattice equation, Chaos, Solitons and Fractals, Vol. 40, pp. 1297-1308, 2009.
- Sladek J., Sladek, V., Wen P.H. and Hon Y.C., Inverse fracture problems in piezoelectric solids by local integral equation method, Engineering Analysis with Boundary Elements, Vol. 33, pp. 1089-1099, 2009.
- Hon Y.C. and Li M., A discrepancy principle for the source points location in using the MFS for solving the BHCP, International Journal of Computational Methods, Vol. 6, No. 2, pp. 181-197, 2009.
- Hon Y.C. and Yang Z., Meshless collocation method by delta-shaped basis functions for default barrier model, Engineering Analysis with Boundary Elements, Vol. 33, Issue 7, pp. 951-958, 2009.
- Hon Y.C. and Fan E.G., A series of exact solutions for coupled Higgs field equation and coupled Schrodinger-Boussinesq equation, J. Nonlinear Analysis, Vol. 71, pp. 3501-3508, 2009.
- Zhang Y. F., Dong H. H., and Hon Y.C., A new soliton hierarchy and its two kinds of expanding integrable models as well as Hamiltonian structure, International Journal of Modern Physics B, Vol. 23, Issue 14, pp. 3059-3072, 2009.
- Wen P.H., Hon Y.C., and Wang W., Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube, Applied Mathematical Modelling, Vol. 33, pp. 423-436, 2009.
- Fan E. and Hon Y.C., “Quasiperiodic waves and asymptotic behaviour for Bogoyavlenskii’s breaking soliton equation in (2+1) dimensions”, Physical Review E, Vol. 78, 036607(13 pages), 2008.
- Hon Y.C., Fan E.G. and Qin Z.Y., “A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation”, Modern Physics Letters B, Vol. 22, No. 8, pp. 547-553, 2008.
- Cheng A., Kassab A., Pan E., and Hon B., Preface, Engineering Analysis with Boundary Elements, Vol. 32, Issue 4, pp. 281-281, 2008.
- Hon Y.C. and Li M., A computational method for inverse free boundary determination problem, International Journal for Numerical Methods in Engineering, Vol. 73, No. 9, pp. 1291-1309, 2008.
- Hon Y.C. and Schaback R., Solvability of partial differential equations by meshless kernel methods, Advances in Computational Mathematics, Vol. 28, No. 3, pp. 283-299, 2008.
- Zhang Y.F. and Hon Y.C., Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy, Modern Physics Letters B, Vol. 21, No. 30, pp. 2063-2074, 2007.
- Wen P.H. and Hon Y.C., Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation, Computer Modeling in Engineering & Sciences, Vol. 21, No. 3, pp. 177-191, 2007.
- Wei T., Hon Y.C., Ling L., Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators, Engineering Analysis with Boundary Elements, Vol. 31, pp. 373-385, 2007.
- Yang Z. and Hon Y.C., A generalized coth-function method for exact solution of differential-difference equation, Chaos, Solitons and Fractals, Vol. 33, pp. 1694-1702, 2007.
- Wei T. and Hon Y.C., Numerical differentiation by radial basis functions approximation, Advances in Computational Mathematics, Vol. 27, No. 3, pp. 247-272, 2007.
- Hon Y.C. and Wei T., Numerical computation of an inverse contact problem in elasticity, Inverse and Ill-posed Problems, Vol. 14, No. 7, pp. 651-664, 2006.
- Zhu S.P., Zhang J., and Hon Y.C., Numerical valuation of American puts on a dividend paying asset, Lecture Notes in Decision Sciences Vol. 9, pp.211-220, 2006, Financial Systems Engineering IV Global – Link Publisher Hong Kong London Tokyo
- Yang Z. and Hon Y.C., An improved modified extended Tanh-Function method, Z. Naturforsch A, Vol. 61a, Nos 3/4, pp. 103-115, 2006.
- Sladek J., Sladek V. and Hon Y.C., Inverse heat conduction problems by meshless local Petrov-Galerkin method, Engineering Analysis with Boundary Elements, Vol. 30, pp. 650-661, 2006.
- Ling L., Yamamoto M., Hon Y.C. and Takeuchi T., Identification of source locations in two-dimensional heat equations, Inverse Problems, Vol. 22, pp. 1289-1305, 2006.
- Liu Y., Hon Y.C. and Liew K.M., A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems, International Journal for Numerical Methods in Engineering, Vol. 66, pp. 1153-1178, 2006.
- Wang Y.B., Hon Y.C. and Cheng J., Reconstruction of high order derivatives from input data, Inverse and Ill-posed Problems, Vol. 14, No. 2, pp. 205-218, 2006.
- Ling L. and Hon Y.C., Improved numerical solver for Kansa’s method based on affine space decomposition, Engineering Analysis with Boundary Elements, Vol. 29, pp. 1077-1085, 2005.
- Hon Y.C. and Fan E.G., An algebra-geometric solution for a Hamiltonian system with application to dispersive long wave equation, J. Math. Phys., Vol. 46, Issue 3. 032701, 21 pp. 2005.
- Liu Y., Liew K.M., Hon Y.C. and Zhang X., Numerical simulation and analysis of an electroactuated beam using a radial basis function, Smart Materials and Structures, Vol. 14, pp. 1163-1171, 2005.
- Wu Z. and Hon Y.C. (Editors), Special Issue on recent theoretical and practical developments in meshless methods, Advances in Computational Mathematics, Vol. 23, Nos. 1-3, 2005.
- Ling L., Hon Y.C. and Yamamoto M., Inverse source identification for Poisson equation, Inverse Problems in Science and Engineering, Vol. 13, No. 4, pp. 433-447, 2005.
- Wei T., Hon Y.C., and Wang Y.B., Reconstruction of numerical derivatives from scattered noisy data, Inverse Problems, Vol. 21, pp. 657-672, 2005.
- Hon Y.C., Ling L. and Liew K.M., Numerical analysis of parameters in a laminated beam model by radial basis functions, Computers, Materials and Continua, Vol. 2, No. 1, pp. 39-49, 2005.
- Hon Y.C. and Fan E., Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrodinger equations, Chaos, Solitons and Fractals, Vol. 24, pp. 1087-1096, 2005.
- Hon Y.C. and Wei T., The method of fundamental solution for solving multidimensional inverse heat conduction problems, Computer Modeling in Engineering & Sciences, Vol. 7, No. 2, pp. 119-132, 2005.
- Hon Y.C., Li S., and Huang M., A meshless computational method for the shear flow of Johnson-Segalman fluid, International Journal of Computational Methods in Engineering Science and Mechanics, Vol. 6, Issue 1, pp. 59-64, 2005.
- Zhou X., Hon Y.C. and Cheung K.F., A grid-free, nonlinear shallow-water model with moving boundary, Engineering Analysis with Boundary Elements, Vol. 28, Issue 8, pp. 967-973, 2004.
- Cheng J., Hon Y.C., and Wang Y.B., A numerical method for the discontinuous solutions of Abel integral equations, Contemporary Mathematics, Vol. 348, pp. 233-243, 2004.
- Li J. and Hon Y.C., Domain decomposition for radial basis meshless methods, Numerical Methods for Partial Differential Equations, Vol 20, Issue 3, pp. 450-462, 2004.
- Hon Y.C. and Wei T., A fundamental solution method for inverse heat conduction problem, Engineering Analysis with Boundary Elements, Vol. 28, Issue 5, pp. 489-495, 2004.
- Cheng J., Hon Y.C. and Yamamoto M., Conditional stability for an inverse Neumann boundary problem, Appl. Anal., Vol. 83, No. 1, pp. 49-62, 2004.
- Hon Y.C. and Fan E.G., Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system, Chaos, Solitons and Fractals, Vol. 19, Issue 5, pp. 1141-1146, 2004.
- Hon Y.C. and Fan E.G., A series of new exact solutions for a complex coupled KdV system, Chaos, Solitons and Fractals, Vol. 19, pp. 515-525, 2004.
- Hon Y.C. and Fan E., Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system, Applied Mathematics and Computations, Vol. 146, pp. 813-827, 2003.
- Wei T., Hon Y.C. and Cheng J., Computation for multidimensional Cauchy problem , SIAM J. on Control and Optimization, Vol. 42, No. 2, pp. 381-396, 2003.
- Fan E. and Hon Y.C., Applications of extended tanh method to “special” types of nonlinear equations, Applied Mathematics and Computations, Vol. 141, pp. 351-358, 2003.
- Chen W. and Hon Y.C., Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems, Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 15, pp. 1859-1875, 2003.
- Hon Y.C. and Chen W., Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems with complicated geometry, International Journal for Numerical Methods in Engineering, Vol. 56, pp. 1931-1948, 2003.
- Hon Y.C., Schaback R., and Zhou X., An adaptive greedy algorithm for solving large RBF collocation problems, Numerical Algorithms, Vol. 32, pp. 13-25, 2003.
- Zhou X., Hon Y.C. and Li J., Overlapping domain decomposition method by radial basis functions, Applied Numerical Mathematics, Vol. 44, pp. 241-255, 2003.
- Wu Z. and Hon Y.C., Convergence error estimate in solving free boundary diffusion problem by radial basis functions method, Engineering Analysis with Boundary Elements, Vol. 27, pp. 73-79, 2003.
- Fan E. and Hon Y.C., A series of travelling wave solutions for two variant Boussineq equations in shallow water waves, Chaos, Solitons and Fractals, Vol. 15, pp. 559-566, 2003.
- He Z.J., Lu M.W., Sun S. and Hon Y.C., Mechano-electrochemical responses of hydrogels immersed in multi-ionic solutions, Journal of Tsinghua University (Science and Technology), Vol. 43, No. 2, pp. 230-233, 2003.
- Fan E. and Hon Y.C., An algebraic method with computerized symbolic computation and new families of travelling wave solutions for the Hirota-Satsuma coupled KdV equation, Nuovo Cimento Soc. Ital. Fis. B, Vol. 117, pp. 659-669, 2002.
- Hon Y.C. and Wei T., An orthonormal basis functions method for moment problems, Engineering Analysis with Boundary Elements, Vol. 26, pp. 855-860, 2002.
- Fan E. and Hon Y.C., Generalized tanh method extended to special types of nonlinear equations, Z. Naturforsch A, Vol. 57 a, pp. 692-700, 2002.
- Hon Y.C., Zhang J. and Zhou X., Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials, Computers and Mathematics with Applications, Vol. 44, pp. 317-322, 2002.
- Zhou X., Hon Y.C., Sun S. and Mak A.F.T., Numerical simulation of the steady state deformation of a smart hydrogel under an external electric field, Smart Materials and Structures, Vol. 11, No. 3, pp. 459-467, 2002.
- Hon Y.C., Lu M.W., Xue M.W. and Zhou X., Numerical algorithm for triphasic model of charged and hydrated soft tissues, Computational Mechanics, Vol. 29, Issue 1, pp. 1-15, 2002.
- Hon Y.C., A quasi-radial basis functions method for American options pricing, Computers and Mathematics with Applications, Vol. 43, Nos. 3-5, pp. 513-524, 2002.
- Wong S.M., Hon Y.C. and Li T.S., A meshless multi-layer model for a coastal system by radial basis functions, Computers and Mathematics with Applications, Vol. 43, Nos. 3-5, pp. 585-605, 2002.
- Li J., Hon Y.C. and Chen C.S., Numerical comparisons of two meshless methods using radial basis functions, Engineering Analysis with Boundary Elements, Vol. 26, pp. 205-225, 2002.
- Wong S.M., Hon Y.C., and Golberg M., Compactly supported radial basis functions for shallow water equations, Applied Mathematics and Computations, Vol. 127, pp. 79-101, 2002.
- Fan E. and Hon Y.C., Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems, Phys. Lett. A, Vol. 292, pp. 335-337, 2002.
- Wu Z and Hon Y.C., Numerical integration of harmonic functions with restricted sampling data, J. Complexity, Vol. 17, pp. 898-909, 2001.
- Fan E., Zhang J. and Hon Y.C., A new complex line soliton for the two-dimensional KdV-Burgers equation, Phys. Lett. A, Vol. 291, pp. 376-380, 2001.
- Cheng J., Hon Y.C., Wei T. and Yamamoto M., Numerical computation of a Cauchy problem for Laplace’s equation, ZAMM, Vol. 81, No. 10, pp. 665-674, 2001.
- Cheng J., Hon Y.C. and Yamamoto M., Conditional stability estimation for an inverse boundary problem with non-smooth boundary data in R3, Transactions of the American Mathematical Society, Vol. 353, pp. 4123-4138, 2001.
- Hon Y.C. and Wei T., Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation, Inverse Problems, Vol. 17, pp. 261-271, 2001.
- Su M., Xu X., Zhu J., and Hon Y.C., Numerical simulation of tidal bore in Hangzhou Gulf and Qiantangjiang, International Journal for Numerical Methods in Fluids, Vol. 36, pp. 205-247, 2001.
- Hon Y.C. and Schaback R., On unsymmetric collocation by radial basis functions, Applied Mathematics and Computations, Vol. 119, Nos. 2-3, pp. 177-186, 2001.
- Hon Y.C. and Wu Z., Additive Schwarz domain decomposition with a radial basis approximation, International Journal of Applied Mathematics, Vol. 4, No. 1, pp. 81-98, 2000.
- Hon Y.C. and Wu Z., A numerical computation for inverse boundary determination problem, Engineering Analysis with Boundary Elements, Vol. 24, pp. 599-606, 2000.
- Hon Y.C. and Wu Z., A quasi-interpolation method for solving stiff ordinary differential equations, International Journal for Numerical Methods in Engineering, Vol. 48, pp. 1187-1197, 2000.
- Hon Y.C. and Zhou X., A comparison on using various radial basis functions for options pricing, International Journal of Applied Science and Computations, Vol. 7, No. 1, pp. 29-47, 2000.
- Kansa E.J. and Hon Y.C., Circumventing the ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations, Computers and Mathematics with Applications, Vol. 39, pp. 123-137, 2000.
- Li T.S., Wong S.M., Hon Y.C., Armstrong C.G., and McKeag R.M., Smoothing by optimisation for a quadrilateral mesh with invalid elements, Finite Elements in Analysis and Design, Vol. 34, pp. 37-60, 2000.
- Su Ming-de, Sun Xi-ming and Hon Y.C., Automatic generation of three-dimensional unstructured mesh by using ink-soak method, Chinese Journal of Computational Physics, Vol. 17, No. 3, pp. 227-241, 2000.
- Hon Y.C., Multiquadric collocation method with adaptive technique for problems with boundary layer, International Journal of Applied Science and Computations, Vol. 6, No. 3, pp. 173-184, 1999.
- Hon Y.C., Lu M.W., Xue W.M., and Zhou X., A new formulation and computation of the triphasic model for mechano-electrochemical mixtures, Computational Mechanics, Vol. 24, pp. 155-165, 1999.
- Hickernell F.J. and Hon Y.C., Radial basis function approximation as smoothing splines, Applied Mathematics and Computations, Vol. 102, No. 1, pp. 1-24, 1999.
- Hon Y.C. and Mao X.Z., A Radial Basis Function Method for Solving Options Pricing Models, International Journal of Financial Engineering, Vol. 8, No. 1, pp. 31-49, 1999.
- Hon Y.C., Cheung K.F., Mao X.Z. and Kansa, E.J., Multiquadric Solution for Shallow Water Equations, ASCE Journal of Hydraulic Engineering, Vol. 125, No. 5, pp. 524-533, 1999.
- Wong, S.M., Hon Y.C., Li T.S., Chung S.L. and Kansa E.J., Multizone Decomposition for Simulation of Time-dependent Problems using the Multiquadric Scheme, Computers and Mathematics with Applications, Vol. 37, No. 8, pp. 23-43, 1999.
- Cheng J., Hon Y.C. and Yamamoto M., Stability in Line Unique Continuation of Harmonic Functions: General Dimensions, Inverse and Ill-posed Problems, Vol. 6, No. 4, pp. 319-326, 1998.
- Hon Y.C. and Mao X.Z., An Efficient Numerical Scheme for Burgers’ Equations, Applied Mathematics and Computation, Vol. 95, pp. 37-50, 1998.
- Chen C.S., Golberg M.A., and Hon Y.C., Numerical Justification of Fundamental Solutions and the Quasi-Monte Carlo Method for Poisson-type equations, Engineering Analysis with Boundary Elements, Vol. 22, No. 1, pp. 61-69, 1998.
- Chen C.S., Golberg M.A., and Hon Y.C., The Method of Fundamental Solutions and Quasi-Monte-Carlo Method for Diffusion Equations, International Journal for Numerical Methods in Engineering, Vol. 43, No. 8, pp. 1421-1435, 1998.
- Hickernell F.J. and Hon Y.C., Radial Basis Function Approximation of the Surface Wind Field from Scattered Data, International Journal of Applied Science and Computations, Vol. 4, No. 3, pp. 221-247, 1998.
- Hon Y.C., Lu M.W., Xue W.M., and Zhu Y.M., Multiquadric Method for the Numerical Solution of a Biphasic Mixture Model, Applied Mathematics and Computation, Vol. 88, pp. 153-175, 1997.
- Hon Y.C. and Mao X.Z., A Multiquadric Interpolation Method for Solving Initial Value Problems, Journal of Scientific Computing, Vol. 12, No. 1, pp. 51-55, 1997.
- Wong S.M., Hon Y.C., Chung S.L., Ho K.C., and Kansa E.J., A Computational Model for Monitoring Water Quality and Ecological Impacts in Marine Environments, International Journal of Applied Science and Computations, Vol. 4, No. 1, pp. 75-97, 1997.
- Hon Y.C., A Decomposition Method for the Thomas-Fermi Equation, Southeast Asian Bulletin of Mathematics, Vol. 20, No. 3, pp. 55-58, 1996.
- Hon Y.C., Huang D.T., Lu M.W., Mak A.F.T., and Xue W.M., A New Penalty Formulation for the Numerical Solution of Biphasic Mixture Model, Neural, Parallel and Scientific Computations, Vol. 4, pp. 465-474, 1996.
- Xue W.M., Huang H.C., Huang D.T., and Hon Y.C., An Algorithm of Finite Element Grid Generation for Three-Dimensional Complex Connected Domain, Acta Mechanica Solida Sinica, Vol. 6, No. 1, pp. 59-67, 1993.
- Hon Y.C., Typhoon Surge in the Tolo Harbour of Hong Kong - An Approach Using Finite Element Method with Quadrilateral Elements and Parallel Processing Technique, Chinese Journal of Numerical Mathematics and Applications, Vol. 15, No. 4, pp. 21-33, 1993.
- Hon Y.C., Typhoon Surge in Tolo Harbour of Hong Kong, Numerical Methods and Computer Application, Vol. 3, pp. 180-186, 1991.
- Chan C.Y. and Hon Y.C., Computational Methods for Generalized Thomas-Fermi Models of Neutral Atoms, Quarterly of Applied Mathematics, Vol. 46, No. 4, pp. 711-726, 1988.
- Chan C.Y. and Hon Y.C., A Constructive Solution for a Generalized Thomas-Fermi Theory of Ionized Atoms, Quarterly of Applied Mathematics, Vol. 45, No. 3, pp. 591-599, 1987.

###### Editorship

###### Associate Editor for the Journal of Inverse Problems in Science and Engineering (IPSE)

###### Associate Editor for the Journal of Applicable Analysis

###### Member on the Editorial Board

- Journal of Advances in Computational Mathematics
- International Journal of Engineering Analysis with Boundary Elements
- International Journal of Computational Methods in Engineering Science and Mechanics
- International Journal of Computational Methods
- International Journal of Applied Science and Computations
- Building Research Journal
- International Journal of Computer Modeling in Engineering & Sciences (2004-2007)
- Research MI

###### Editorship (Guest Editor)

- Guest Editor for a special issue on Special Issue on Advanced Numerical and Computational Methods in Mechanics and Engineering for the Journal of Mathematics, to appear in 2023.
- Guest Editor for a special issue on recent advances in problems involving stability and singularity for the Journal of Neural, Parallel, and Scientific Computations, Vol. 25, 2017.
- Co-editor with Leevan Ling for a special issue on the International Conference on Inverse Problems 2010, Journal of Physics: Conference Series, Vol. 290 No. 1, 2011.
- Co-editor with Masahiro Yamamoto, Jin Cheng, June-Yub Lee, Leevan Ling, Gui-Rong Liu, and Jenn-Nan Wang for a special issue on inverse problems for the Journal of Applicable Analysis, 2010-11.
- Co-editor with Jin Cheng and Masahiro Yamamoto for a special issue on inverse problems for the Journal of Advances in Computational Mathematics, 2009-2010.
- Co-editor with Alex Cheng, Kassab A., and Pan E for a special issue on Nano-computation for the Journal of Engineering Analysis with Boundary Elements, 2007 and 2008.
- Co-editor with Zongmin Wu for a special issue on Recent Theoretical and Practical Developments in Meshless Methods for the Journal of Advances in Computational Mathematics, 2005.
- Co-editor with Edward Kansa for a special issue on Radial Basis Functions for the Journal of Computers and Mathematics with Applications, 2002.

###### Conference Organiser/Coordinator

- Chief Organiser on theFifth International Conference on Inverse Problems, City University of Hong Kong, Hong Kong, December 13-17, 2010.
- Chief Organiser for the First Workshop on Industrial Applications held at the City University of Hong Kong, July 8-12, 2002.
- Chief Organiser for the First International Conference on Inverse Problems, City University of Hong Kong, January 9-12, 2002.

###### Research Students

- Dr. Xian-zhong MAO, PhD, graduated in 1999.
- Dr. Anita Sze-mui WONG, PhD, graduated in 2000.
- Ms. Bei LIANG, MPhil, graduated in 2001.
- Dr. Xu ZHOU, PhD, graduated in 2002.
- Dr. Ting WEI, PhD, graduated in 2005. (Thesis Excellence Award by CityU)
- Mr. Zong-hang YANG, MPhil, graduated in 2008.
- Dr. Ming LI, PhD, graduated in 2010.
- Dr. Yan-jun ZHENG, PhD, graduated in 2012 (Best Thesis Award).
- Dr. Dong-fang YUN, PhD, graduated in 2015.
- Dr. Douglas Kei-Shing NG, PhD, graduated in 2017.
- Dr. Yan LI, PhD, graduated in 2018
- Mr. Min LEI, graduated in 2020.
- Mr. Addie Chi-ngan SAM, PhD, registered in June 2017.
- Ms. Kelly Ke-xin ZHANG, PhD, registered in Sept 2018.
- Ms. Yan MA, PhD, registered in August 2021.
- Ms. Jia-yi LI, PhD, registered in 2022.

###### Honorary Appointment

- Visiting Professor at the University of Science and Technology of China from (2021-2024).
- Visiting Professor at the Northwest Normal University of China (2018-2020).
- Visiting Professor at the Taiyuan University of Technology under the Shanxi Hundred Talents Programme (2012-2015).
- Visiting Professor at The University of Tokyo (2007).
- Advisor for the International School Advisory Board (European Union Councils) from March 2021 for initial team of five years in Asia (March 2021 to now).
- Deputy Convener, Multiple Intelligence Schools Network (MISNET) (2022-now).
- Member on Advisory Committee on the Gifted Education Section of the Education Bureau, HKSAR (2006-now).
- Honourable Advisor for the Hong Kong Gifted Education Teachers' Association (2014 – now).
- Adviser for the Hong Kong Association for Parents of Gifted Children (February 2011-now).
- Honourable Mentor for the Hong Kong Academy for Gifted Education (2011-2019).
- Member on the Adjudicating Committee of Yau's High School Applied Math Competition 2011.
- Organiser and Panel Member for the Contemporary Undergraduate Mathematical Contest in Modeling (CUMCM) HongKong-Macau District (2011-2013).
- Honourable Advisor for the Secondary School Mathematics & Science Competition (2005-now).
- Honourable Advisor for the Hong Kong Mathematics Creative Problem Solving Competition (2012 to now).

## Useful Links

CityU Scholars: