×

zbMATH — the first resource for mathematics

Chen, Ching-Shyang

Compute Distance To:
Author ID: chen.ching-shyang Recent zbMATH articles by "Chen, Ching-Shyang"
Published as: Chen, C. S.; Chen, C.-S.; Chen, Ching-Shyang
Documents Indexed: 162 Publications since 1972, including 2 Books
all top 5

Co-Authors

2 single-authored
24 Golberg, Michael A.
15 Karageorghis, Andreas
9 Lin, Ji
8 Li, Jichun
8 Muleshkov, A. S.
7 Chen, Wen
7 Dou, Fangfang
7 Yao, Guangming
6 Cheng, Alexander H.-D.
6 Hon, Yiu-Chung
6 Liu, Xiaoyan
5 Lamichhane, A. R.
5 Rashed, Youssef F.
4 Jiang, Xinrong
4 Li, Zi-Cai
4 Power, Henry
4 Tian, Zhaolu
3 Bowman, Harold
3 Fu, Zhuojia
3 Jankowska, Malgorzata A.
3 Li, Xinxiang
3 Tsai, Chia-Cheng
3 Wen, Pihua H.
3 Zheng, Hui
2 Alves, Carlos J. S.
2 Brebbia, Carlos Alberto
2 Chan, Chi-Yuan
2 Chang, Wanru
2 Chen, Wen
2 Dangal, Thir
2 Ganesh, Madhu
2 Li, Ming
2 Li, Munan
2 Li, Wen
2 Li, Wen
2 Liu, Chein-Shan
2 Lu, Jun
2 Marcozzi, Michael D.
2 Reutskiy, Sergiy Yu
2 Šarler, Božidar
2 Smyrlis, Yiorgos-Sokratis
2 Watson, Daniel W.
2 Xiong, Jingang
2 Young, Dennis L.
1 Chen, Yitung
1 Cho, Hokwon A.
1 Choi, Seungmook S.
1 Choi, Siwon
1 Comino, Eva
1 Deng, Cheng
1 Droppa, Peter
1 Duo, Jia
1 Fan, Cheng-Ming
1 Fan, Congmin
1 Fu, Mingfu
1 Hsu, Taiwen
1 Huang, Chieh-Sen
1 Huang, Hung-Tsai
1 Ingber, Marc S.
1 Jiang, Pengfei
1 Kelemen, Miroslav
1 Khatri Ghimire, B.
1 Kolibal, Joseph
1 Kompiš, Vladimír
1 Kuhn, Günther
1 Li, Ming
1 Li, Ming
1 Li, Ming
1 Li, Yan
1 Liu, Yanshan
1 Ma, Zhiying
1 Mattheij, Robert M. M.
1 Mishuris, Gennady S.
1 Pei, Xiangnan
1 Pepper, Darrell W.
1 Perko, Janez
1 Qin, Qinghua
1 Săler, B.
1 Schaback, Robert
1 Shen, Lihong
1 Shen, Shu-Hui
1 Tanski, John A.
1 Tappoura, Demetriana
1 Tian, Haiyan
1 Wang, Fajie
1 Wang, Song
1 Wen, Pihua
1 Xi, Qiang
1 Zerroukat, Mohamed
1 Zhang, Liping
1 Zhao, Yuxiang
1 Zhu, Xiaomin

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 2,437 times in 1,306 Documents Cited by Year
The method of fundamental solutions for potential, Helmholtz and diffusion problems. Zbl 0945.65130
Golberg, M. A.; Chen, C. S.
251
1999
Some recent results and proposals for the use of radial basis functions in the BEM. Zbl 0948.65132
Golberg, M. A.; Chen, C. S.; Bowman, H.
124
1999
A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095
Zerroukat, M.; Power, H.; Chen, C. S.
99
1998
Recent advances on radial basis function collocation methods. Zbl 1282.65160
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
87
2014
Discrete projection methods for integral equations. Zbl 0900.65384
Golberg, Michael A.; Chen, Ching-Shyang
82
1997
Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136
Chen, C. S.; Cho, Hokwon A.; Golberg, M. A.
77
2006
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
72
2016
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
70
2012
The method of fundamental solutions for non-linear thermal explosions. Zbl 0839.65143
Chen, C. S.
61
1995
An analytical model for the container loading problem. Zbl 0927.90087
Chen, C. S.; Lee, S. M.; Shen, Q. S.
54
1995
Dual reciprocity method using compactly supported radial basis functions. Zbl 0927.65140
Chen, C. S.; Brebbia, C. A.; Power, H.
51
1999
Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
50
1999
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
48
2011
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222
Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun
47
2016
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
46
2002
A localized approach for the method of approximate particular solutions. Zbl 1221.65316
Yao, Guangming; Kolibal, Joseph; Chen, C. S.
43
2011
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
43
2005
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
43
2003
A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050
Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang
41
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.
39
1998
On the use of boundary conditions for variational formulations arising in financial mathematics. Zbl 1047.91033
Marcozzi, Michael D.; Choi, Seungmook; Chen, C. S.
37
2001
BEM for thermoelasticity and elasticity with body force – a revisit. Zbl 1014.74075
Cheng, A. H.-D.; Chen, C. S.; Golberg, M. A.; Rashed, Y. F.
36
2001
A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276
Ingber, M. S.; Chen, C. S.; Tanski, J. A.
34
2004
Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0931.65116
Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H.
34
1998
Multilevel compact radial functions based computational schemes for some elliptic problems. Zbl 0999.65143
Chen, C. S.; Ganesh, M.; Golberg, M. A.; Cheng, A. H.-D.
32
2002
The method of particular solutions for solving scalar wave equations. Zbl 1208.65153
Wen, P. H.; Chen, C. S.
28
2010
Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions. Zbl 0994.76058
Golberg, M. A.; Chen, C. S.; Ganesh, M.
28
2000
A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155
Yao, Guangming; Šarler, Bozidar; Chen, C. S.
27
2011
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
24
2013
Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM. Zbl 0914.65115
Chen, C. S.; Rashed, Youssef F.
23
1998
Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators. Zbl 1244.65209
Tsai, C. C.; Cheng, A. H.-D.; Chen, C. S.
22
2009
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
21
2007
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 07034726
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
20
2019
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
19
2013
A numerical method for semilinear singular parabolic quenching problems. Zbl 0675.65124
Chan, C. Y.; Chen, C. S.
18
1989
Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255
Dangal, Thir; Chen, C. S.; Lin, Ji
17
2017
A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M.
17
2005
Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504
Li, Jichun; Chen, C. S.
17
2003
The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086
Alves, C. J. S.; Chen, C. S.; Săler, B.
17
2002
Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0915.73071
Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H.
17
1998
Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361
Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang
16
2004
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
15
2009
Las Vegas method for diffusion equations. Zbl 0903.76065
Chen, C. S.; Golberg, M. A.
15
1997
Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133
Chen, C. S.; Golberg, M. A.; Schaback, Robert A.
14
2003
The annihilator method for computing particular solutions to partial differential equations. Zbl 0945.65131
Golberg, M. A.; Chen, C. S.; Rashed, Y. F.
14
1999
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
13
2018
Value sets of polynomials over finite fields. Zbl 0784.11056
Wan, Daqing; Shiue, Peter Jau-Shyong; Chen, C. S.
13
1993
The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function. Zbl 1329.65298
Lamichhane, A. R.; Chen, C. S.
12
2015
The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations. Zbl 1244.65225
Tsai, Chia-Cheng; Chen, C. S.; Hsu, Tai-Wen
12
2009
A basis function for approximation and the solutions of partial differential equations. Zbl 1153.65116
Tian, H. Y.; Reutskiy, S.; Chen, C. S.
12
2008
Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115
Reutskiy, S. Y.; Chen, C. S.
12
2006
Implicit local radial basis function interpolations based on function values. Zbl 1410.65026
Yao, Guangming; Duo, Jia; Chen, C. S.; Shen, L. H.
10
2015
A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems. Zbl 1191.80044
Reutskiy, S. Yu.; Chen, C. S.; Tian, H. Y.
10
2008
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
10
2007
A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024
Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C.
10
2006
Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131
Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G.
10
2003
The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257
Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun
9
2018
A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147
Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui
9
2017
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
9
2016
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
9
2015
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
9
2015
A revisit on the derivation of the particular solution for the differential operator \(\Delta^2 \pm \lambda^2\). Zbl 1262.35086
Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng
9
2009
A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110
Li, Xin; Chen, C. S.
9
2004
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
8
2013
The method of fundamental solutions and the quasi-Monte Carlo method for Poisson’s equation. Zbl 0831.65130
Chen, C. S.
8
1995
On a method of Atkinson for evaluating domain integrals in the boundary element method. Zbl 0797.65090
Golberg, Michael A.; Chen, C. S.
8
1994
The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259
Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S.
7
2017
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
7
2011
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
7
2011
Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
7
2005
The method of fundamental solutions and compactly supported radial basis functions: A meshless approach to 3D problems. Zbl 0972.65098
Chen, C. S.; Marcozzi, M. D.; Choi, S.
7
1999
The dual reciprocity method for Helmholtz-type operators. Zbl 0929.65109
Chen, C. S.; Brebbia, C. A.
7
1998
A novel RBF collocation method using fictitious centres. Zbl 07134545
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
6
2020
Localized method of approximate particular solutions with Cole-Hopf transformation for multi-dimensional Burgers equations. Zbl 1297.65130
Lin, C. Y.; Gu, M. H.; Young, D. L.; Chen, C. S.
6
2014
Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450
Yang, Y. B.; Lin, S. P.; Chen, C. S.
6
2007
Computational test of approximation of functions and their derivatives by radial basis functions. Zbl 0998.65020
Li, Xin; Ho, C. H.; Chen, C. S.
6
2002
Optimal age and block replacement for a general maintenance model. Zbl 1134.90354
Chen, C. S.; Savits, Thomas H.
6
1992
On tight isometric immersion of codimension two. Zbl 0253.53050
Chen, C.-S.
6
1972
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
5
2018
Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470
Chang, Wanru; Chen, C. S.; Li, Wen
5
2018
Fast method of approximate particular solutions using Chebyshev interpolation. Zbl 1403.65167
Lamichhane, A. R.; Young, D. L.; Chen, C. S.
5
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.
5
2016
Solving biharmonic equation using the localized method of approximate particular solutions. Zbl 1306.65280
Li, Ming; Amazzar, Ghizlane; Naji, Ahmed; Chen, C. S.
5
2014
Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions. Zbl 1297.80011
Li, Ming; Chen, C. S.; Chu, C. C.; Young, D. L.
5
2014
Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems. Zbl 1287.65137
Jiang, Xinrong; Chen, Wen; Chen, C. S.
5
2013
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
Method of fundamental solutions for multi-dimensional quenching problems. Zbl 0882.35064
Chan, C. Y.; Chen, C. S.
5
1996
A discounted cost relationship. Zbl 0657.62117
Chen, C. S.; Savits, Thomas H.
5
1988
Minimization of fuzzy functions. Zbl 0226.94035
Siy, Pepe; Chen, C. S.
5
1972
Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011
Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S.
4
2017
Compactly supported radial basis functions for solving certain high order partial differential equations in 3D. Zbl 1403.65169
Li, Wen; Li, Ming; Chen, C. S.; Liu, Xiaofeng
4
2015
On the ill-conditioning of the MFS for irregular boundary data with sufficient regularity. Zbl 1297.65195
Feng, Guorui; Li, Ming; Chen, C. S.
4
2014
Adaptive method of particular solution for solving 3D inhomogeneous elliptic equations. Zbl 1267.65190
Chen, C. S.; Kwok, T. O.; Ling, L.
4
2010
The recursive formulation of particular solutions for some elliptic PDEs with polynomial source functions. Zbl 1364.65271
Ding, Jiu; Tian, H. Y.; Chen, C. S.
4
2009
Mesh-free method for groundwater modeling. Zbl 1086.76562
Li, J.; Chen, C. S.; Pepper, D.; Chen, Y.
4
2002
The numerical evaluation of particular solutions for Poisson’s equation – a revisit. Zbl 0972.65097
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.
4
1999
A domain embedding method and the quasi-Monte Carlo method for Poisson’s equation. Zbl 0839.65136
Chen, C. S.; Golberg, M. A.
4
1995
The pallet packing problem for non-uniform box sizes. Zbl 0729.90571
Chen, C. S.; Sarin, S.; Ram, B.
4
1991
The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S.
3
2020
The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260
Pei, Xiangnan; Chen, C. S.; Dou, Fangfang
3
2017
A novel RBF collocation method using fictitious centres. Zbl 07134545
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
6
2020
The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S.
3
2020
An efficient method of approximate particular solutions using polynomial basis functions. Zbl 07153249
Deng, Cheng; Zheng, Hui; Fu, Mingfu; Xiong, Jingang; Chen, C. S.
2
2020
The radial basis function differential quadrature method with ghost points. Zbl 07318054
Lin, Ji; Zhao, Yuxiang; Watson, Daniel; Chen, C. S.
1
2020
Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries. Zbl 1437.65223
Dou, Fangfang; Zhang, Li-Ping; Li, Zi-Cai; Chen, C. S.
1
2020
Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations. Zbl 1431.65231
Ghimire, B. Khatri; Li, Xinxiang; Chen, C. S.; Lamichhane, A. R.
1
2020
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 07034726
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
20
2019
The method of particular solutions for solving nonlinear Poisson problems. Zbl 1442.35071
Dou, Fangfang; Liu, Yanshan; Chen, C. S.
1
2019
Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S.
13
2018
The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257
Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun
9
2018
Kansa RBF method for nonlinear problems. Zbl 1416.65479
Jankowska, M. A.; Karageorghis, A.; Chen, C. S.
5
2018
Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470
Chang, Wanru; Chen, C. S.; Li, Wen
5
2018
Analysis on the method of fundamental solutions for biharmonic equations. Zbl 1429.65293
Dou, Fangfang; Li, Zi-Cai; Chen, C. S.; Tian, Zhaolu
2
2018
Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S.
2
2018
A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. Zbl 1403.74328
Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S.
2
2018
The method of particular solutions using trigonometric basis functions. Zbl 06860277
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
2
2018
Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255
Dangal, Thir; Chen, C. S.; Lin, Ji
17
2017
A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147
Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui
9
2017
The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259
Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S.
7
2017
Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011
Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S.
4
2017
The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260
Pei, Xiangnan; Chen, C. S.; Dou, Fangfang
3
2017
Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems. Zbl 07163493
Lin, Ji; Chen, C. S.; Wang, Fajie; Dangal, Thir
2
2017
Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070
Liu, Xiao-Yan; Chen, C. S.; Karageorghis, Andreas
2
2017
Particular solutions of Laplace and bi-harmonic operators using Matérn radial basis functions. Zbl 1373.65080
Lamichhane, A. R.; Chen, C. S.
2
2017
On choosing the location of the sources in the MFS. Zbl 1338.65269
Chen, C. S.; Karageorghis, Andreas; Li, Yan
72
2016
Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222
Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun
47
2016
Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174
Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan
9
2016
Fast method of approximate particular solutions using Chebyshev interpolation. Zbl 1403.65167
Lamichhane, A. R.; Young, D. L.; Chen, C. S.
5
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.
5
2016
Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem. Zbl 1452.65292
Zhang, Xueying; Chen, Muyuan; Chen, C. S.; Li, Zhiyong
2
2016
Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180
Lin, Ji; Chen, C. S.; Liu, Chein-Shan
2
2016
The closed-form particular solutions for Laplace and biharmonic operators using a Gaussian function. Zbl 1329.65298
Lamichhane, A. R.; Chen, C. S.
12
2015
Implicit local radial basis function interpolations based on function values. Zbl 1410.65026
Yao, Guangming; Duo, Jia; Chen, C. S.; Shen, L. H.
10
2015
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
9
2015
A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S.
9
2015
Compactly supported radial basis functions for solving certain high order partial differential equations in 3D. Zbl 1403.65169
Li, Wen; Li, Ming; Chen, C. S.; Liu, Xiaofeng
4
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.
2
2015
The localized method of approximated particular solutions for near-singular two- and three-dimensional problems. Zbl 1443.65432
Yao, Guangming; Chen, C. S.; Li, Wen; Young, D. L.
1
2015
Recent advances on radial basis function collocation methods. Zbl 1282.65160
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
87
2014
Localized method of approximate particular solutions with Cole-Hopf transformation for multi-dimensional Burgers equations. Zbl 1297.65130
Lin, C. Y.; Gu, M. H.; Young, D. L.; Chen, C. S.
6
2014
Solving biharmonic equation using the localized method of approximate particular solutions. Zbl 1306.65280
Li, Ming; Amazzar, Ghizlane; Naji, Ahmed; Chen, C. S.
5
2014
Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions. Zbl 1297.80011
Li, Ming; Chen, C. S.; Chu, C. C.; Young, D. L.
5
2014
On the ill-conditioning of the MFS for irregular boundary data with sufficient regularity. Zbl 1297.65195
Feng, Guorui; Li, Ming; Chen, C. S.
4
2014
A new scheme for the solution of reaction diffusion and wave propagation problems. Zbl 1429.65294
Lin, Ji; Chen, Wen; Chen, C. S.
2
2014
Circulant matrix and conformal mapping for solving partial differential equations. Zbl 1369.65167
Liu, Xiao-Yan; Li, Wen; Li, Ming; Chen, C. S.
2
2014
A Kansa-RBF method for Poisson problems in annular domains. Zbl 1325.65160
Karageorghis, A.; Chen, C. S.
1
2014
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
24
2013
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136
Li, Ming; Chen, C. S.; Karageorghis, A.
19
2013
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
8
2013
Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems. Zbl 1287.65137
Jiang, Xinrong; Chen, Wen; Chen, C. S.
5
2013
A fast method of fundamental solutions for solving Helmholtz-type equations. Zbl 1359.65296
Jiang, Xinrong; Chen, Wen; Chen, C. S.
3
2013
Fast boundary knot method for solving axisymmetric Helmholtz problems with high wave number. Zbl 1357.65284
Lin, J.; Chen, Wen; Chen, C. S.; Jiang, X. R.
2
2013
On the convergence of the MFS-MPS scheme for 1D Poisson’s equation. Zbl 1360.65288
Chen, C. S.; Huang, C.-S.; Lin, K. H.
1
2013
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
70
2012
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
48
2011
A localized approach for the method of approximate particular solutions. Zbl 1221.65316
Yao, Guangming; Kolibal, Joseph; Chen, C. S.
43
2011
A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155
Yao, Guangming; Šarler, Bozidar; Chen, C. S.
27
2011
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
7
2011
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
7
2011
The method of particular solutions for solving scalar wave equations. Zbl 1208.65153
Wen, P. H.; Chen, C. S.
28
2010
Adaptive method of particular solution for solving 3D inhomogeneous elliptic equations. Zbl 1267.65190
Chen, C. S.; Kwok, T. O.; Ling, L.
4
2010
Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators. Zbl 1244.65209
Tsai, C. C.; Cheng, A. H.-D.; Chen, C. S.
22
2009
Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S.
15
2009
The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations. Zbl 1244.65225
Tsai, Chia-Cheng; Chen, C. S.; Hsu, Tai-Wen
12
2009
A revisit on the derivation of the particular solution for the differential operator \(\Delta^2 \pm \lambda^2\). Zbl 1262.35086
Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng
9
2009
The recursive formulation of particular solutions for some elliptic PDEs with polynomial source functions. Zbl 1364.65271
Ding, Jiu; Tian, H. Y.; Chen, C. S.
4
2009
Simulation of the contractile response of cells on an array of micro-posts. Zbl 1185.74061
Mcgarry, J. P.; Fu, J.; Yang, M. T.; Chen, C. S.; Mcmeeking, R. M.; Evans, A. G.; Deshpande, V. S.
2
2009
A basis function for approximation and the solutions of partial differential equations. Zbl 1153.65116
Tian, H. Y.; Reutskiy, S.; Chen, C. S.
12
2008
A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems. Zbl 1191.80044
Reutskiy, S. Yu.; Chen, C. S.; Tian, H. Y.
10
2008
A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis
21
2007
Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245
Chen, C. S.; Lee, Sungwook; Huang, C.-S.
10
2007
Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450
Yang, Y. B.; Lin, S. P.; Chen, C. S.
6
2007
DRM-MD approach for modeling laser-material interaction with axial symmetry. Zbl 1195.80029
Gospavić, Radovan; Popov, Viktor; Srecković, Milesa; Chen, C. S.
2
2007
Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136
Chen, C. S.; Cho, Hokwon A.; Golberg, M. A.
77
2006
Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115
Reutskiy, S. Y.; Chen, C. S.
12
2006
A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024
Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C.
10
2006
A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119
Alves, C. J. S.; Chen, C. S.
43
2005
A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154
Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M.
17
2005
Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930
Muleshkov, A. S.; Golberg, M. A.; Chen, C. S.
7
2005
A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276
Ingber, M. S.; Chen, C. S.; Tanski, J. A.
34
2004
Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361
Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang
16
2004
A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110
Li, Xin; Chen, C. S.
9
2004
Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096
Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D.
43
2003
A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050
Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang
41
2003
Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504
Li, Jichun; Chen, C. S.
17
2003
Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133
Chen, C. S.; Golberg, M. A.; Schaback, Robert A.
14
2003
Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131
Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G.
10
2003
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
46
2002
Multilevel compact radial functions based computational schemes for some elliptic problems. Zbl 0999.65143
Chen, C. S.; Ganesh, M.; Golberg, M. A.; Cheng, A. H.-D.
32
2002
The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086
Alves, C. J. S.; Chen, C. S.; Săler, B.
17
2002
Computational test of approximation of functions and their derivatives by radial basis functions. Zbl 0998.65020
Li, Xin; Ho, C. H.; Chen, C. S.
6
2002
Mesh-free method for groundwater modeling. Zbl 1086.76562
Li, J.; Chen, C. S.; Pepper, D.; Chen, Y.
4
2002
Polynomial particular solutions for Poisson problems. Zbl 1011.65087
Muleshkov, A. S.; Golberg, M. A.; Cheng, A. H-D.; Chen, C. S.
3
2002
A simple efficient algorithm for interpolation between different grids in both 2D and 3D. Zbl 0992.65003
Li, Jichun; Chen, C. S.
1
2002
On the use of boundary conditions for variational formulations arising in financial mathematics. Zbl 1047.91033
Marcozzi, Michael D.; Choi, Seungmook; Chen, C. S.
37
2001
BEM for thermoelasticity and elasticity with body force – a revisit. Zbl 1014.74075
Cheng, A. H.-D.; Chen, C. S.; Golberg, M. A.; Rashed, Y. F.
36
2001
Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions. Zbl 0994.76058
Golberg, M. A.; Chen, C. S.; Ganesh, M.
28
2000
Special issue: The dual reciprocity method and radial basis functions. Zbl 0967.00028
Golberg, M. D. (ed.); Chen, C. S. (ed.)
1
2000
The method of fundamental solutions for potential, Helmholtz and diffusion problems. Zbl 0945.65130
Golberg, M. A.; Chen, C. S.
251
1999
Some recent results and proposals for the use of radial basis functions in the BEM. Zbl 0948.65132
Golberg, M. A.; Chen, C. S.; Bowman, H.
124
1999
...and 34 more Documents
all top 5

Cited by 1,723 Authors

68 Chen, Ching-Shyang
63 Chen, Wen
47 Karageorghis, Andreas
30 Hon, Yiu-Chung
29 Dehghan Takht Fooladi, Mehdi
28 Lin, Ji
28 Ling, Leevan
27 Šarler, Božidar
26 Power, Henry
24 Gu, Yan
23 Fan, Chia-Ming
23 Lesnic, Daniel
22 Fu, Zhuojia
21 Marin, Liviu
19 Liu, Chein-Shan
18 Qu, Wenzhen
17 Reutskiy, Sergiy Yu
17 Smyrlis, Yiorgos-Sokratis
16 Alves, Carlos J. S.
16 Li, Xiaolin
16 Wang, Fajie
16 Young, Dennis L.
15 Liu, Gui-Rong
15 Tsai, Chia-Cheng
14 Li, Jichun
13 Johansson, B. Tomas
13 Mai-Duy, Nam
13 Zhang, Chuanzeng
12 Cheng, Alexander H.-D.
12 Godinho, Luís M. C.
12 Golberg, Michael A.
12 Li, Zi-Cai
12 Rad, Jamal Amani
11 Sun, Linlin
11 Tran-Cong, Thanh
11 Yao, Guangming
10 Abbasbandy, Saeid
10 Dou, Fangfang
10 Florez, Whady Felipe
10 Kazem, Saeed
10 Shivanian, Elyas
10 Siraj-ul-Islam
10 Wei, Xing
10 Wen, Pihua H.
10 Young, Der-Liang
9 Kansa, Edward J.
9 Parand, Kourosh
9 Potier-Ferry, Michel
9 Rashed, Youssef F.
9 Yang, Fenglian
8 Bustamante, Carlos Andres
8 Cavoretto, Roberto
8 Gáspár, Csaba
8 Liu, Xiaoyan
8 Martins, Nuno F. M.
8 Schaback, Robert
8 Sladek, Jan
8 Sladek, Vladimir
8 Valtchev, Svilen S.
7 Belinha, Jorge
7 De Rossi, Alessandra
7 Divo, Eduardo A.
7 Kassab, Alain J.
7 Kolodziej, Jan Adam
7 Ku, Cheng-Yu
7 Lamichhane, A. R.
7 Liu, Qingguo
7 Niu, Ruiping
7 Qin, Qinghua
7 Reeve, Thomas
7 Sheu, Sheyhuei
7 Shokri, Ali
7 Wei, Ting
7 Yan, Liang
6 Assari, Pouria
6 Chen, Wen
6 Fan, Congmin
6 Ghehsareh, Hadi Roohani
6 Grabski, Jakub Krzysztof
6 Hematiyan, Mohammad Rahim
6 Huang, Hung-Tsai
6 Jafarabadi, Ahmad
6 Li, Po-Wei
6 Li, Weiwei
6 Li, Wen
6 Pang, Guofei
6 Ramachandran, Palghat A.
6 Santiago, J. A. F.
6 Shanazari, Kamal
6 Wang, Fuzhang
6 Wang, Hui
6 Yeih, Weichung
6 Zhang, Yunxin
5 Adibi, Hojatollah
5 Ballestra, Luca Vincenzo
5 Dereli, Yılmaz
5 Eldho, T. I.
5 Fairweather, Graeme
5 Fan, Chen-Ming
5 Haq, Sirajul
...and 1,623 more Authors
all top 5

Cited in 160 Serials

491 Engineering Analysis with Boundary Elements
87 Computers & Mathematics with Applications
69 Applied Mathematics and Computation
41 Journal of Computational and Applied Mathematics
40 Applied Mathematical Modelling
29 Journal of Computational Physics
23 Computer Methods in Applied Mechanics and Engineering
23 European Journal of Operational Research
23 International Journal of Computational Methods
22 Inverse Problems in Science and Engineering
21 Computational Mechanics
21 Numerical Methods for Partial Differential Equations
19 International Journal for Numerical Methods in Engineering
17 Applied Numerical Mathematics
16 Applied Mathematics Letters
15 Advances in Computational Mathematics
14 Mathematics and Computers in Simulation
14 Numerical Algorithms
14 Mathematical Problems in Engineering
13 International Journal of Numerical Methods for Heat & Fluid Flow
12 Computers & Operations Research
9 Journal of Scientific Computing
9 International Journal of Computer Mathematics
9 Communications in Numerical Methods in Engineering
9 International Journal of Applied and Computational Mathematics
7 Finite Fields and their Applications
6 International Transactions in Operational Research
5 Acta Mechanica
5 Mathematical and Computer Modelling
5 Communications in Nonlinear Science and Numerical Simulation
4 International Journal of Heat and Mass Transfer
4 International Journal for Numerical Methods in Fluids
4 Fuzzy Sets and Systems
4 Journal of Global Optimization
4 SIAM Journal on Scientific Computing
4 European Journal of Mechanics. A. Solids
4 Journal of Linear and Topological Algebra
4 Nonlinear Analysis. Theory, Methods & Applications
3 International Journal of Solids and Structures
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Automatica
3 Proceedings of the American Mathematical Society
3 SIAM Journal on Numerical Analysis
3 Computational and Applied Mathematics
3 Nonlinear Dynamics
3 Abstract and Applied Analysis
3 OR Spectrum
3 International Journal for Numerical Methods in Biomedical Engineering
3 Journal of Mathematical Modeling
2 Applicable Analysis
2 Computers and Fluids
2 Computer Physics Communications
2 Journal of Engineering Mathematics
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 Journal of Differential Equations
2 Journal of Soviet Mathematics
2 Numerische Mathematik
2 Applied Mathematics and Mechanics. (English Edition)
2 Japan Journal of Industrial and Applied Mathematics
2 Pattern Recognition
2 Mathematics and Mechanics of Solids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 European Journal of Mechanics. B. Fluids
2 Computational Geosciences
2 Engineering Computations
2 International Journal of Modern Physics C
2 Journal of Applied Mathematics
2 4OR
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Mathematical Physics
2 Mathematical Sciences
2 Mathematics
1 Biological Cybernetics
1 International Journal of Systems Science
1 Inverse Problems
1 Journal of the Franklin Institute
1 Mathematische Semesterberichte
1 Wave Motion
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Acta Mathematica Vietnamica
1 BIT
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Computing
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Number Theory
1 Kyungpook Mathematical Journal
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mechanics Research Communications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Transactions of the American Mathematical Society
1 Journal of Information & Optimization Sciences
1 Statistics & Probability Letters
1 Operations Research Letters
...and 60 more Serials
all top 5

Cited in 44 Fields

946 Numerical analysis (65-XX)
389 Partial differential equations (35-XX)
254 Mechanics of deformable solids (74-XX)
177 Fluid mechanics (76-XX)
105 Classical thermodynamics, heat transfer (80-XX)
72 Operations research, mathematical programming (90-XX)
32 Integral equations (45-XX)
31 Approximations and expansions (41-XX)
26 Optics, electromagnetic theory (78-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Probability theory and stochastic processes (60-XX)
17 Ordinary differential equations (34-XX)
15 Number theory (11-XX)
15 Geophysics (86-XX)
14 Biology and other natural sciences (92-XX)
13 Computer science (68-XX)
13 Systems theory; control (93-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Combinatorics (05-XX)
10 Differential geometry (53-XX)
9 Potential theory (31-XX)
7 Real functions (26-XX)
7 Information and communication theory, circuits (94-XX)
5 Functions of a complex variable (30-XX)
5 Special functions (33-XX)
5 Integral transforms, operational calculus (44-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Quantum theory (81-XX)
3 Statistics (62-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)

Citations by Year