Edit Profile (opens in new tab) Hon, Yiu-Chung Co-Author Distance Author ID: hon.yiu-chung Published as: Hon, Y. C.; Hon, Yiu-Chung; Hon, Benny Y. C.; Hon, Benny; Hon, Yiu-chung; Hon, Yiu Chung; Hon, Y.-C. more...less Further Spellings: 韓耀宗 Homepage: http://www6.cityu.edu.hk/ma/people/profile/honb.htm Documents Indexed: 138 Publications since 1987, including 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 73 Co-Authors with 135 Joint Publications 2,680 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Fan, Engui 12 Wei, Ting 11 Cheng, Jin 11 Wen, Pihua 10 Yamamoto, Masahiro 9 Li, Ming 6 Ling, Leevan 6 Schaback, Robert 6 Zhao, Wei 6 Zhou, Xu 5 Sladek, Jan 5 Sladek, Vladimir 5 Wu, Zongmin 5 Xiong, Xiangtuan 5 Yang, Zonghang 5 Zhang, Yufeng 4 Wong, Siman 3 Chen, Wen 3 Deng, Zuicha 3 Dou, Fangfang 3 Golberg, Michael A. 3 Kansa, Edward J. 3 Li, Jichun 3 Li, Tak Sing 3 Sam, C. N. 3 Wang, Yanbo 3 Xue, Weimin 2 Chan, Chiu Yeung 2 Korakianitis, Theodosios 2 Lee, June-Yub 2 Lei, Min 2 Li, Yan 2 Liew, Kim Meow 2 Mei, Jianqin 2 Stoll, Martin 2 Takeuchi, Tomoya 2 Xu, Dinghua 2 Yang, Liu 2 Yu, Yue 2 Zhang, Jian 2 Zhong, Min 1 Armstrong, Cecil G. 1 Chen, Chuin-Shan 1 Dong, Huanhe 1 Feng, Binlu 1 Hickernell, Fred J. 1 Isakov, Victor M. 1 Jiang, Tongsong 1 Krahulec, Slavomir 1 Liu, Gui-Rong 1 Liu, Yan 1 Lu, Shuai 1 McKeag, R. M. 1 Melnikov, Yuri A. 1 Noorizadegan, Amir 1 Qian, Zhi 1 Qin, Zhenyun 1 Šarler, Božidar 1 Seo, Jin Keun 1 Shi, Wanxia 1 Su, Mingde 1 Tian, Zhaolu 1 Wang, Jenn-Nan 1 Wang, Wen 1 Wei, Song 1 Wong, Anita S. M. 1 Wu, Xiuguang 1 Young, Der-Liang 1 Yun, Dong Fa 1 Yun, Dongfang 1 Zhao, Liping 1 Zheng, Hui 1 Zhou, Qian all top 5 Serials 29 Engineering Analysis with Boundary Elements 11 Applied Mathematics and Computation 10 Computers & Mathematics with Applications 6 Chaos, Solitons and Fractals 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 4 Inverse Problems 4 Journal of Inverse and Ill-Posed Problems 4 Advances in Computational Mathematics 3 Modern Physics Letters B 3 Applicable Analysis 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Quarterly of Applied Mathematics 2 Computational Mechanics 2 Journal of Scientific Computing 2 Chinese Journal of Numerical Mathematics and Applications 2 CMES. Computer Modeling in Engineering & Sciences 2 International Journal of Computational Methods 2 Inverse Problems in Science and Engineering 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Zeitschrift fuer Naturforschung, A: Physical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Applied Numerical Mathematics 1 Finite Elements in Analysis and Design 1 Journal of Complexity 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Dynamic Systems and Applications 1 International Journal of Computer Mathematics 1 Numerical Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 RIMS Kokyuroku 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics 1 CMC. Computers, Materials, and Continua 1 Communications in Theoretical Physics 1 Journal of Mathematical Research with Applications all top 5 Fields 84 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of deformable solids (74-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 2,642 times in 1,740 Documents Cited by ▼ Year ▼ Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086 Kansa, E. J.; Hon, Y. C. 226 2000 An efficient numerical scheme for Burger equation. Zbl 0943.65101 Hon, Y. C.; Mao, X. Z. 158 1998 On unsymmetric collocation by radial basis functions. Zbl 1026.65107 Hon, Y. C.; Schaback, R. 128 2001 A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002 Hon, Y. C.; Wei, T. 117 2004 Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Zbl 1195.65206 Wei, Ting; Hon, Y. C.; Ling, Leevan 103 2007 Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation. Zbl 0980.35167 Hon, Y. C.; Wei, T. 55 2001 Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132 Li, Jichun; Hon, Y. C.; Chen, C. S. 53 2002 Multiquadric method for the numerical solution of a biphasic mixture model. Zbl 0910.76059 Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhu, Y. M. 52 1997 Identification of source locations in two-dimensional heat equations. Zbl 1112.35147 Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya 52 2006 Domain decomposition for radial basis meshless methods. Zbl 1048.65124 Li, Jichun; Hon, Y. C. 51 2004 Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134 Zhou, X.; Hon, Y. C.; Li, Jichun 50 2003 Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. Zbl 1050.76040 Chen, W.; Hon, Y. C. 46 2003 Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. Zbl 1072.76048 Hon, Y. C.; Chen, W. 45 2003 The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations. Zbl 0929.76098 Chen, C. S.; Golberg, M. A.; Hon, Y. C. 45 1998 A quasi-radial basis functions method for American options pricing. Zbl 1073.91588 Hon, Y. C. 45 2002 Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme. Zbl 0951.76066 Wong, A. S. M.; Hon, Y. C.; Li, T. S.; Chung, S. L.; Kansa, E. J. 43 1999 Compactly supported radial basis functions for shallow water equations. Zbl 1126.76352 Wong, S. M.; Hon, Y. C.; Golberg, M. A. 41 2002 Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020 Sladek, J.; Sladek, V.; Hon, Y. C. 39 2006 A quasi-interpolation method for solving stiff ordinary differential equations. Zbl 0962.65060 Hon, Y. C.; Wu, Zongmin 38 2000 A computational method for inverse free boundary determination problem. Zbl 1158.80328 Hon, Y. C.; Li, M. 38 2008 An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093 Hon, Y. C.; Schaback, R.; Zhou, X. 38 2003 A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008 Fan, Enguiu; Hon, Y. C. 35 2003 Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128 Fan, Engui; Hon, Y. C. 34 2003 Numerical computation of a Cauchy problem for Laplace’s equation. Zbl 0999.65100 Cheng, J.; Hon, Y. C.; Wei, T.; Yamamoto, M. 32 2001 A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. Zbl 1151.82320 Hon, Y. C.; Fan, Engui; Qin, Zhenyun 31 2008 Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. Zbl 1040.91058 Wu, Zongmin; Hon, Y. C. 31 2003 Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface. Zbl 1403.76140 Hon, Yiu-Chung; Šarler, Božidar; Yun, Dong-fang 31 2015 Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107 Fan, Engui; Hon, Y. C. 31 2012 A multiquadric interpolation method for solving initial value problems. Zbl 0907.65062 Hon, Y. C.; Mao, X. Z. 30 1997 A numerical computation for inverse boundary determination problem. Zbl 0972.65085 Hon, Y. C.; Wu, Zongmin 30 2000 An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144 Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C. 29 2012 Inverse source identification by Green’s function. Zbl 1244.65162 Hon, Y. C.; Li, M.; Melnikov, Y. A. 28 2010 A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031 Hon, Y. C.; Li, M. 28 2009 Additive Schwarz domain decomposition with a radial basis approximation. Zbl 1051.65121 Hon, Y. C.; Wu, Z. 26 2000 Reconstruction of numerical derivates from scattered noisy data. Zbl 1071.65026 Wei, T.; Hon, Y. C.; Wang, Y. B. 25 2005 A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871 Liu, Y.; Hon, Y. C.; Liew, K. M. 24 2006 Improved numerical solver for Kansa’s method based on affine space decomposition. Zbl 1182.65176 Ling, L.; Hon, Y. C. 24 2005 Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309 Dou, F. F.; Hon, Y. C. 22 2012 Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106 Yun, Dong Fa; Hon, Y. C. 21 2016 Finite integration method for partial differential equations. Zbl 1427.65308 Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T. 21 2013 A constructive solution for a generalized Thomas-Fermi theory of ionized atoms. Zbl 0639.34021 Chan, C. Y.; Hon, Y. C. 20 1987 A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126 Fan, Engui; Zhang, Jian; Hon, Benny Y. C. 20 2001 Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174 Dou, F. F.; Hon, Y. C. 19 2016 Inverse source identification for Poisson equation. Zbl 1194.65130 Ling, Leevan; Hon, Y. C.; Yamamoto, M. 19 2005 Conditional stability estimation for an inverse boundary problem with non-smooth boundary in \(\mathcal{R}^3\). Zbl 0970.35163 Cheng, J.; Hon, Y. C.; Yamamoto, M. 18 2001 Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559 Fan, Engui; Hon, Benny Y. C. 18 2002 A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem. Zbl 1244.80023 Li, Ming; Jiang, Tongsong; Hon, Y. C. 18 2010 Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. Zbl 1208.65141 Hon, Y. C.; Takeuchi, Tomoya 17 2011 Solvability of partial differential equations by meshless kernel methods. Zbl 1136.65111 Hon, Y. C.; Schaback, Robert 15 2008 Numerical computation for backward time-fractional diffusion equation. Zbl 1297.65112 Dou, F. F.; Hon, Y. C. 15 2014 Finite integration method for nonlocal elastic bar under static and dynamic loads. Zbl 1287.74051 Li, M.; Hon, Y. C.; Korakianitis, T.; Wen, P. H. 15 2013 A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130 Hon, Y. C.; Fan, E. G. 14 2004 Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156 Hon, Y. C.; Fan, Engui 13 2005 Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068 Wen, P. H.; Hon, Y. C. 12 2007 Numerical differentiation by radial basis functions approximation. Zbl 1138.65025 Wei, T.; Hon, Y. C. 12 2007 A new formulation and computation of the triphasic model for mechano-electrochemical mixtures. Zbl 0946.76097 Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhou, X. 12 1999 A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480 Hon, Y. C.; Fan, E. G. 12 2009 A grid-free, nonlinear shallow-water model with moving boundary. Zbl 1130.76405 Zhou, X.; Hon, Y. C.; Cheung, K. F. 12 2004 Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191 Deng, Zui-Cha; Hon, Y. C.; Isakov, V. 12 2016 On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114 Fan, E. G.; Hon, Y. C. 12 2010 Radial basis function approximations as smoothing splines. Zbl 0927.41008 Hickernell, Fred J.; Hon, Y. C. 11 1999 Computation for multidimensional Cauchy problem. Zbl 1044.65074 Wei, T.; Hon, Y. C.; Cheng, J. 11 2003 Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system. Zbl 1068.35131 Hon, Y. C.; Fan, E. G. 11 2004 An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058 Hon, Y. C.; Fan, E. G. 11 2005 Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391 Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H. 11 2015 Reconstruction of high order derivatives from input data. Zbl 1115.65022 Wang, Y. B.; Hon, Y. C.; Cheng, J. 10 2006 The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method. Zbl 1231.65163 Sladek, J.; Sladek, V.; Wen, P. H.; Hon, Y. C. 10 2009 A numerical method for the discontinuous solutions of Abel integral equations. Zbl 1064.65153 Cheng, J.; Hon, Y. C.; Wang, Y. B. 10 2004 A decomposition method for the Thomas-Fermi equation. Zbl 0858.34017 Hon, Y. C. 10 1996 The meshless kernel-based method of lines for parabolic equations. Zbl 1369.65109 Hon, Y. C.; Schaback, R.; Zhong, M. 10 2014 Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075 Zhang, Yu-Feng; Hon, Y. C. 9 2011 Meshless collocation method by delta-shaped basis functions for default barrier model. Zbl 1244.65154 Hon, Y. C.; Yang, Zonghang 9 2009 Improved finite integration method for partial differential equations. Zbl 1403.65264 Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H. 9 2016 Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035 Fan, E. G.; Hon, Y. C. 9 2010 A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193 Li, Ming; Chen, C. S.; Hon, Y. C. 9 2011 Solving the 3D Laplace equation by meshless collocation via harmonic kernels. Zbl 1272.65096 Hon, Y. C.; Schaback, R. 9 2013 Stability in line unique continuation of harmonic functions: General dimensions. Zbl 0914.31002 Cheng, J.; Hon, Y. C.; Yamamoto, M. 8 1998 Simultaneous identification of unknown initial temperature and heat source. Zbl 1362.35337 Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung 8 2016 Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127 Hon, Y. C.; Fan, Engui 7 2012 Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504 7 2002 Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305 Krahulec, Slavomir; Sladek, Jan; Sladek, Vladimir; Hon, Yiu-Chung 7 2016 Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers. Zbl 1410.65273 Yun, D. F.; Wen, Z. H.; Hon, Y. C. 7 2015 Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081 Zhao, Wei; Hon, Yiu-chung; Stoll, Martin 7 2018 Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. Zbl 1038.35092 Hon, Y. C.; Fan, E. G. 6 2003 A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065 Hon, Y. C.; Wei, T. 6 2002 Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051 Li, Y.; Hon, Y. C. 6 2017 Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. Zbl 1400.65047 Wei, Song; Chen, Wen; Hon, Y. C. 6 2016 Computational methods for generalized Thomas-Fermi models of neutral atoms. Zbl 0674.34023 Chan, C. Y.; Hon, Y. C. 5 1988 Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027 Zhang, Yufeng; Hon, Y. C. 5 2007 Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations. Zbl 0940.65133 Chen, C. S.; Golberg, M. A.; Hon, Y. C. 5 1998 Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube. Zbl 1167.76332 Wen, P. H.; Hon, Y. C.; Wang, W. 5 2009 An optimal control method for nonlinear inverse diffusion coefficient problem. Zbl 1301.49094 Deng, Zui-Cha; Hon, Y.-C.; Yang, Liu 5 2014 Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161 Xiong, X. T.; Hon, Y. C. 5 2013 A meshless multilayer model for a coastal system by radial basis functions. Zbl 1073.86501 Wong, S. M.; Hon, Y. C.; Li, T. S. 5 2002 Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients – forward collocation with finite integration method. Zbl 1403.65054 Yu, Yue; Xu, Dinghua; Hon, Y. C. 5 2015 An improved modified extended tanh-function method. Zbl 1186.35195 Yang, Zonghang; Hon, Benny Y. C. 4 2006 Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids. Zbl 1259.80011 Sladek, Jan; Sladek, Vladimir; Wen, Pihua H.; Hon, Benny 4 2012 Numerical analysis of parameters in a laminated beam model by radial basis functions. Zbl 1160.74424 Hon, Y. C.; Ling, L.; Liew, K. M. 3 2005 A meshless scheme for solving inverse problems of Laplace equation. Zbl 1037.65111 Hon, Y. C.; Wei, T. 3 2003 Multiscale support vector approach for solving ill-posed problems. Zbl 1331.65181 Zhong, Min; Hon, Yiu Chung; Lu, Shuai 3 2015 An improved finite integration method for nonlocal nonlinear Schrödinger equations. Zbl 1504.65234 Zhao, Wei; Lei, Min; Hon, Yiu-Chung 2 2022 An accurate and efficient numerical method for neural field models with transmission delays. Zbl 1521.65109 Zhao, W.; Hon, Y. C. 1 2022 An integration preconditioning method for solving option pricing problems. Zbl 1510.91190 Li, Y.; Sam, C. N.; Hon, Y. C.; Ng, K. S. 2 2021 Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations. Zbl 1464.65236 Lei, M.; Sam, C. N.; Hon, Y. C. 3 2020 An accurate and efficient numerical method for solving linear peridynamic models. Zbl 1481.65200 Zhao, Wei; Hon, Y. C. 2 2019 Generalized finite integration method for solving multi-dimensional partial differential equations. Zbl 1464.65280 Sam, C. N.; Hon, Y. C. 2 2019 Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081 Zhao, Wei; Hon, Yiu-chung; Stoll, Martin 7 2018 Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM). Zbl 1427.82029 Zhao, Wei; Hon, Y. C.; Stoll, Martin 3 2018 Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051 Li, Y.; Hon, Y. C. 6 2017 Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106 Yun, Dong Fa; Hon, Y. C. 21 2016 Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174 Dou, F. F.; Hon, Y. C. 19 2016 Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191 Deng, Zui-Cha; Hon, Y. C.; Isakov, V. 12 2016 Improved finite integration method for partial differential equations. Zbl 1403.65264 Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H. 9 2016 Simultaneous identification of unknown initial temperature and heat source. Zbl 1362.35337 Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung 8 2016 Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305 Krahulec, Slavomir; Sladek, Jan; Sladek, Vladimir; Hon, Yiu-Chung 7 2016 Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. Zbl 1400.65047 Wei, Song; Chen, Wen; Hon, Y. C. 6 2016 Numerical algorithms for a sideways parabolic problem with variable coefficients. Zbl 1338.35503 Yu, Yue; Xu, Dinghua; Hon, Y. C. 1 2016 Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface. Zbl 1403.76140 Hon, Yiu-Chung; Šarler, Božidar; Yun, Dong-fang 31 2015 Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391 Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H. 11 2015 Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers. Zbl 1410.65273 Yun, D. F.; Wen, Z. H.; Hon, Y. C. 7 2015 Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients – forward collocation with finite integration method. Zbl 1403.65054 Yu, Yue; Xu, Dinghua; Hon, Y. C. 5 2015 Multiscale support vector approach for solving ill-posed problems. Zbl 1331.65181 Zhong, Min; Hon, Yiu Chung; Lu, Shuai 3 2015 Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 1515.35355 Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan 3 2015 A one-dimensional inverse problem in composite materials: regularization and error estimates. Zbl 1443.74130 Xiong, X. T.; Shi, W. X.; Hon, Y. C. 3 2015 Direct meshless kernel techniques for time-dependent equations. Zbl 1339.65190 Hon, Y. C.; Schaback, R. 2 2015 Numerical computation for backward time-fractional diffusion equation. Zbl 1297.65112 Dou, F. F.; Hon, Y. C. 15 2014 The meshless kernel-based method of lines for parabolic equations. Zbl 1369.65109 Hon, Y. C.; Schaback, R.; Zhong, M. 10 2014 An optimal control method for nonlinear inverse diffusion coefficient problem. Zbl 1301.49094 Deng, Zui-Cha; Hon, Y.-C.; Yang, Liu 5 2014 Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation. Zbl 1294.65090 Xiong, Xiangtuan; Zhao, Liping; Hon, Y. C. 1 2014 Finite integration method for partial differential equations. Zbl 1427.65308 Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T. 21 2013 Finite integration method for nonlocal elastic bar under static and dynamic loads. Zbl 1287.74051 Li, M.; Hon, Y. C.; Korakianitis, T.; Wen, P. H. 15 2013 Solving the 3D Laplace equation by meshless collocation via harmonic kernels. Zbl 1272.65096 Hon, Y. C.; Schaback, R. 9 2013 Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161 Xiong, X. T.; Hon, Y. C. 5 2013 Stability estimate on meshless unsymmetric collocation method for solving boundary value problems. Zbl 1297.65167 Duan, Y.; Hon, Y. C.; Zhao, W. 2 2013 Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107 Fan, Engui; Hon, Y. C. 31 2012 An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144 Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C. 29 2012 Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309 Dou, F. F.; Hon, Y. C. 22 2012 Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127 Hon, Y. C.; Fan, Engui 7 2012 Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids. Zbl 1259.80011 Sladek, Jan; Sladek, Vladimir; Wen, Pihua H.; Hon, Benny 4 2012 Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. Zbl 1208.65141 Hon, Y. C.; Takeuchi, Tomoya 17 2011 Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075 Zhang, Yu-Feng; Hon, Y. C. 9 2011 A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193 Li, Ming; Chen, C. S.; Hon, Y. C. 9 2011 Meshless computation for partial differential equations of fractional order. Zbl 1244.76093 Wen, P. H.; Hon, Y. C. 2 2011 Super quasiperiodic wave solutions and asymptotic analysis for \(\mathcal N=1\) supersymmetric KdV-type equations. Zbl 1274.35326 Hon, Y. C.; Fan, Engui 2 2011 Inverse source identification by Green’s function. Zbl 1244.65162 Hon, Y. C.; Li, M.; Melnikov, Y. A. 28 2010 A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem. Zbl 1244.80023 Li, Ming; Jiang, Tongsong; Hon, Y. C. 18 2010 On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114 Fan, E. G.; Hon, Y. C. 12 2010 Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035 Fan, E. G.; Hon, Y. C. 9 2010 A rational generalization of Fan’s method and its application to generalized shallow water wave equations. Zbl 1425.76195 Yang, Zonghang; Hon, Y. C. 1 2010 A systematic method for solving differential-difference equations. Zbl 1222.37082 Zhang, Yufeng; Hon, Y. C.; Mei, Jianqin 1 2010 A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031 Hon, Y. C.; Li, M. 28 2009 A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480 Hon, Y. C.; Fan, E. G. 12 2009 The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method. Zbl 1231.65163 Sladek, J.; Sladek, V.; Wen, P. H.; Hon, Y. C. 10 2009 Meshless collocation method by delta-shaped basis functions for default barrier model. Zbl 1244.65154 Hon, Y. C.; Yang, Zonghang 9 2009 Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube. Zbl 1167.76332 Wen, P. H.; Hon, Y. C.; Wang, W. 5 2009 Inverse fracture problems in piezoelectric solids by local integral equation method. Zbl 1244.74123 Sladek, J.; Sladek, V.; Wen, P. H.; Hon, Y. C. 2 2009 Quasi-periodic solutions for modified Toda lattice equation. Zbl 1197.37093 Hon, Y. C.; Fan, E. G. 2 2009 A computational method for inverse free boundary determination problem. Zbl 1158.80328 Hon, Y. C.; Li, M. 38 2008 A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. Zbl 1151.82320 Hon, Y. C.; Fan, Engui; Qin, Zhenyun 31 2008 Solvability of partial differential equations by meshless kernel methods. Zbl 1136.65111 Hon, Y. C.; Schaback, Robert 15 2008 Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Zbl 1195.65206 Wei, Ting; Hon, Y. C.; Ling, Leevan 103 2007 Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068 Wen, P. H.; Hon, Y. C. 12 2007 Numerical differentiation by radial basis functions approximation. Zbl 1138.65025 Wei, T.; Hon, Y. C. 12 2007 Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027 Zhang, Yufeng; Hon, Y. C. 5 2007 A generalized coth-function method for exact solution of differential-difference equation. Zbl 1153.35397 Yang, Zonghang; Hon, Y. C. 1 2007 Identification of source locations in two-dimensional heat equations. Zbl 1112.35147 Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya 52 2006 Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020 Sladek, J.; Sladek, V.; Hon, Y. C. 39 2006 A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871 Liu, Y.; Hon, Y. C.; Liew, K. M. 24 2006 Reconstruction of high order derivatives from input data. Zbl 1115.65022 Wang, Y. B.; Hon, Y. C.; Cheng, J. 10 2006 An improved modified extended tanh-function method. Zbl 1186.35195 Yang, Zonghang; Hon, Benny Y. C. 4 2006 Reconstruction of numerical derivates from scattered noisy data. Zbl 1071.65026 Wei, T.; Hon, Y. C.; Wang, Y. B. 25 2005 Improved numerical solver for Kansa’s method based on affine space decomposition. Zbl 1182.65176 Ling, L.; Hon, Y. C. 24 2005 Inverse source identification for Poisson equation. Zbl 1194.65130 Ling, Leevan; Hon, Y. C.; Yamamoto, M. 19 2005 Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156 Hon, Y. C.; Fan, Engui 13 2005 An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058 Hon, Y. C.; Fan, E. G. 11 2005 Numerical analysis of parameters in a laminated beam model by radial basis functions. Zbl 1160.74424 Hon, Y. C.; Ling, L.; Liew, K. M. 3 2005 A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002 Hon, Y. C.; Wei, T. 117 2004 Domain decomposition for radial basis meshless methods. Zbl 1048.65124 Li, Jichun; Hon, Y. C. 51 2004 A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130 Hon, Y. C.; Fan, E. G. 14 2004 A grid-free, nonlinear shallow-water model with moving boundary. Zbl 1130.76405 Zhou, X.; Hon, Y. C.; Cheung, K. F. 12 2004 Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system. Zbl 1068.35131 Hon, Y. C.; Fan, E. G. 11 2004 A numerical method for the discontinuous solutions of Abel integral equations. Zbl 1064.65153 Cheng, J.; Hon, Y. C.; Wang, Y. B. 10 2004 Conditional stability for an inverse Neumann boundary problem. Zbl 1047.35131 Cheng, J.; Hon, Y. C.; Yamamoto, M. 2 2004 Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134 Zhou, X.; Hon, Y. C.; Li, Jichun 50 2003 Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. Zbl 1050.76040 Chen, W.; Hon, Y. C. 46 2003 Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. Zbl 1072.76048 Hon, Y. C.; Chen, W. 45 2003 An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093 Hon, Y. C.; Schaback, R.; Zhou, X. 38 2003 A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008 Fan, Enguiu; Hon, Y. C. 35 2003 Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128 Fan, Engui; Hon, Y. C. 34 2003 Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. Zbl 1040.91058 Wu, Zongmin; Hon, Y. C. 31 2003 Computation for multidimensional Cauchy problem. Zbl 1044.65074 Wei, T.; Hon, Y. C.; Cheng, J. 11 2003 Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. Zbl 1038.35092 Hon, Y. C.; Fan, E. G. 6 2003 A meshless scheme for solving inverse problems of Laplace equation. Zbl 1037.65111 Hon, Y. C.; Wei, T. 3 2003 Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132 Li, Jichun; Hon, Y. C.; Chen, C. S. 53 2002 A quasi-radial basis functions method for American options pricing. Zbl 1073.91588 Hon, Y. C. 45 2002 Compactly supported radial basis functions for shallow water equations. Zbl 1126.76352 Wong, S. M.; Hon, Y. C.; Golberg, M. A. 41 2002 Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559 Fan, Engui; Hon, Benny Y. C. 18 2002 Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504 7 2002 A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065 Hon, Y. C.; Wei, T. 6 2002 A meshless multilayer model for a coastal system by radial basis functions. Zbl 1073.86501 Wong, S. M.; Hon, Y. C.; Li, T. S. 5 2002 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,152 Authors 71 Hon, Yiu-Chung 56 Dehghan Takht Fooladi, Mehdi 38 Chen, Wen 37 Ling, Leevan 31 Liu, Chein-Shan 27 Wei, Ting 27 Wen, Pihua 26 Chen, Ching-Shyang 25 Lesnic, Daniel 24 Fan, Chia-Ming 24 Fu, Chuli 24 Xiong, Xiangtuan 23 Li, Ming 20 Wang, Fajie 19 Young, Der-Liang 18 Gu, Yan 18 Kansa, Edward J. 18 Zhang, Hongqing 17 Lin, Ji 17 Schaback, Robert 17 Tian, Shoufu 17 Zhang, Yufeng 16 Abbaszadeh, Mostafa 16 Wu, Zongmin 15 Fu, Zhuojia 15 Karageorghis, Andreas 14 Fan, Engui 14 Ferreira, António Joaquim Mendes 14 Haq, Sirajul 14 Marin, Liviu 13 Dou, Fangfang 13 Zhang, Tiantian 12 Li, Jichun 12 Roque, C. M. C. 12 Siraj-ul-Islam 12 Yamamoto, Masahiro 11 Abbasbandy, Saeid 11 Cheng, Jin 11 Feng, Xiaoli 11 Johansson, B. Tomas 11 Power, Henry 11 Sladek, Jan 11 Sladek, Vladimir 11 Uddin, Marjan 11 Wang, Lihua 10 Assari, Pouria 10 Chen, Yong 10 Duan, Yong 10 Liu, Gui-Rong 10 Rad, Jamal Amani 10 Yan, Liang 10 Yang, Fenglian 9 Cavoretto, Roberto 9 Chen, Jiun-Shyan 9 Divo, Eduardo A. 9 Kassab, Alain J. 9 Parand, Kourosh 9 Qu, Wenzhen 9 Zhang, Chuanzeng 9 Zhao, Zhenyu 9 Zheng, Hui 8 Cheng, Hao 8 Esmaeilbeigi, Mohsen 8 Golbabai, Ahmad 8 Mai-Duy, Nam 8 Nguyen Huy Tuan 8 Šarler, Božidar 8 Shirzadi, Ahmad 8 Shokri, Ali 8 Zhang, Yunxin 7 De Rossi, Alessandra 7 Fornberg, Bengt 7 Gao, Wenwu 7 Larsson, Elisabeth 7 Li, Guangyao 7 Li, Po-Wei 7 Mirzaei, Davoud 7 Oruç, Ömer 7 Qian, Zhi 7 Qin, Qinghua 7 Qiu, Lin 7 Reeve, Thomas 7 Sun, Yao 7 Tan, Yongji 7 Tsai, Chia-Cheng 7 Wang, Xiubin 7 Wazwaz, Abdul-Majid Abdul-Rahman 7 Yang, Fan 7 Yao, Guangming 7 Zhong, Min 6 Boyd, John Philip 6 Cheng, Alexander H.-D. 6 Hu, Hsin-Yun 6 Kumar, Alpesh 6 Li, Zi-Cai 6 Liu, Songshu 6 Ma, Yunjie 6 Mokhtari, Reza 6 Natal Jorge, Renato Manuel 6 Nikan, Omid ...and 2,052 more Authors all top 5 Cited in 215 Serials 344 Engineering Analysis with Boundary Elements 149 Applied Mathematics and Computation 105 Computers & Mathematics with Applications 65 Journal of Computational and Applied Mathematics 64 Inverse Problems in Science and Engineering 62 Applied Mathematical Modelling 39 Journal of Computational Physics 35 Applied Numerical Mathematics 32 International Journal of Computer Mathematics 26 International Journal for Numerical Methods in Engineering 26 Computational Mechanics 25 Communications in Nonlinear Science and Numerical Simulation 24 Computer Methods in Applied Mechanics and Engineering 23 Numerical Methods for Partial Differential Equations 22 Applicable Analysis 21 Chaos, Solitons and Fractals 20 Applied Mathematics Letters 19 Numerical Algorithms 19 Computational and Applied Mathematics 18 International Journal of Computational Methods 17 Mathematical Methods in the Applied Sciences 17 Journal of Inverse and Ill-Posed Problems 16 Mathematics and Computers in Simulation 16 Journal of Scientific Computing 16 Advances in Applied Mathematics and Mechanics 15 Advances in Computational Mathematics 13 Journal of Applied Mathematics 13 Advances in Difference Equations 12 Mathematical Problems in Engineering 11 Journal of Mathematical Analysis and Applications 11 Nonlinear Dynamics 11 International Journal of Applied and Computational Mathematics 10 Abstract and Applied Analysis 10 Boundary Value Problems 9 Computer Physics Communications 9 Journal of Mathematical Physics 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 Advances in Mathematical Physics 8 European Journal of Mechanics. 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Series A: Theory and Methods 4 SIAM Journal on Numerical Analysis 4 Mathematical Modelling and Analysis 4 Journal of Applied Mathematics and Computing 4 Waves in Random and Complex Media 4 Communications in Computational Physics 4 Advances in Numerical Analysis 4 International Journal of Differential Equations 4 Computational Methods for Differential Equations 3 Journal of Engineering Mathematics 3 Physics Letters. A 3 Applied Mathematics and Mechanics. (English Edition) 3 Computational Mathematics and Mathematical Physics 3 Archive of Applied Mechanics 3 Cybernetics and Systems Analysis 3 Applied Mathematics. Series B (English Edition) 3 Filomat 3 Computational Geosciences 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Thai Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Inverse Problems and Imaging 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Communications in Theoretical Physics 3 Mathematical Sciences 3 Journal of Mathematics 2 Modern Physics Letters B 2 International Journal of Solids and Structures 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Notes 2 Physica A 2 Journal of Geometry and Physics 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Complexity 2 Computational Mathematics and Modeling 2 Applications of Mathematics 2 Journal of Global Optimization 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 115 more Serials all top 5 Cited in 44 Fields 1,225 Numerical analysis (65-XX) 834 Partial differential equations (35-XX) 199 Mechanics of deformable solids (74-XX) 189 Fluid mechanics (76-XX) 123 Classical thermodynamics, heat transfer (80-XX) 105 Dynamical systems and ergodic theory (37-XX) 79 Approximations and expansions (41-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Ordinary differential equations (34-XX) 42 Integral equations (45-XX) 34 Operator theory (47-XX) 33 Probability theory and stochastic processes (60-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Real functions (26-XX) 22 Computer science (68-XX) 22 Optics, electromagnetic theory (78-XX) 21 Geophysics (86-XX) 20 Quantum theory (81-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Biology and other natural sciences (92-XX) 13 Potential theory (31-XX) 12 Algebraic geometry (14-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Operations research, mathematical programming (90-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 9 Special functions (33-XX) 9 Information and communication theory, circuits (94-XX) 8 Integral transforms, operational calculus (44-XX) 7 Functional analysis (46-XX) 6 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year