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Author ID: hon.yiu-chung Recent zbMATH articles by "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.
Further Spellings: 韓耀宗
Homepage: http://www6.cityu.edu.hk/ma/people/profile/honb.htm
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

Publications by Year

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 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
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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. A. Solids
7 International Journal of Heat and Mass Transfer
7 SIAM Journal on Scientific Computing
6 Acta Mechanica
6 Nonlinear Analysis. Real World Applications
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 AIMS Mathematics
5 Inverse Problems
5 Wave Motion
5 Numerische Mathematik
5 Studies in Applied Mathematics
5 Mathematical and Computer Modelling
5 Communications in Numerical Methods in Engineering
5 International Journal of Modern Physics C
4 International Journal of Modern Physics B
4 Computers and Fluids
4 International Journal for Numerical Methods in Fluids
4 Reports on Mathematical Physics
4 Theoretical and Mathematical Physics
4 BIT
4 Calcolo
4 Nonlinear Analysis. Theory, Methods & Applications. 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
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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)
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10 Linear and multilinear algebra; matrix theory (15-XX)
10 Statistics (62-XX)
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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)
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1 Functions of a complex variable (30-XX)
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