Edit Profile (opens in new tab) Chen, Ching-Shyang Co-Author Distance Author ID: chen.ching-shyang Published as: Chen, C. S.; Chen, Ching-Shyang Documents Indexed: 171 Publications since 1972, including 2 Books 2 Contributions as Editor Co-Authors: 94 Co-Authors with 129 Joint Publications 3,176 Co-Co-Authors all top 5 Co-Authors 7 single-authored 24 Golberg, Michael A. 22 Karageorghis, Andreas 13 Li, Ming 11 Lin, Ji 9 Chen, Wen 8 Li, Jichun 8 Muleshkov, Angel S. 7 Dou, Fangfang 7 Liu, Xiaoyan 7 Yao, Guangming 6 Cheng, Alexander H.-D. 6 Hon, Yiu-Chung 6 Li, Wen 6 Zheng, Hui 5 Jankowska, Malgorzata A. 5 Rashed, Youssef F. 5 Wen, Pihua 4 Jiang, Xinrong 4 Li, Zi-Cai 4 Power, Henry 4 Savits, Thomas H. 4 Tian, Zhaolu 4 Tsai, Chia-Cheng 3 Bowman, Harold 3 Dangal, Thir 3 Fu, Zhuojia 3 Huang, Chieh-Sen 3 Li, Xinxiang 3 Lu, Jun 3 Reutskiy, Sergiy Yu 3 Wang, Yong 2 Alves, Carlos J. S. 2 Amuzu, Lionel 2 Brebbia, Carlos Alberto 2 Chang, Wanru 2 Deng, Cheng 2 Ganesh, Mahadevan 2 Lamichhane, A. R. 2 Lei, Min 2 Liu, Chein-Shan 2 Marcozzi, Michael D. 2 Naji, Ahmed Mohammed 2 Šarler, Božidar 2 Siy, Pepe 2 Smyrlis, Yiorgos-Sokratis 2 Wang, Dan 2 Watson, Daniel W. 2 Xiong, Jingang 2 Xu, Yangsheng 2 Yang, Jie 2 Yang, Yeong-Bin 2 Young, Der-Liang 2 Zhang, Xueying 1 Acheampong, Kwesi 1 Amazzar, Ghizlane 1 An, Xin 1 António, Julieta M. P. 1 Cao, Yanhua 1 Chan, Chiu Yeung 1 Chen, Chuin-Shan 1 Chen, Muyuan 1 Chen, Yitung 1 Cheng, Ting-Shian 1 Cho, Hokwon A. 1 Choi, Seungmook S. 1 Comino, Eva 1 Cretegny, Thierry 1 de Abreu-Garcia, Jose Alexis 1 Deshpande, Vikram S. 1 Ding, Jiu 1 Dodhia, K. 1 Droppa, Peter 1 Duo, Jia 1 Evans, Anthony G. 1 Feng, Guorui 1 Fu, Mingfu 1 Golberg, M. D. 1 Gopalan, K. 1 Gospavic, Radovan 1 Hao, Fang 1 Hsu, Taiwen 1 Huang, Hung-Tsai 1 Iesulauro, E. 1 Ingber, Marc S. 1 Ingraffea, Anthony R. 1 Jiang, Pengfei 1 Kelemen, Miroslav 1 Khatri Ghimire, B. 1 Kolibal, Joseph 1 Kompiš, Vladimír 1 Kuhn, Günther 1 Kuo, Shyh-Rong 1 Kwok, Ting-On 1 Lee, Shen-Ming 1 Lee, Sungwook 1 Li, Xin 1 Li, Xin 1 Li, Yan 1 Li, Zhiyong 1 Ling, Leevan ...and 43 more Co-Authors all top 5 Serials 34 Engineering Analysis with Boundary Elements 12 Computers & Mathematics with Applications 7 Mathematics and Computers in Simulation 7 Communications in Computational Physics 6 Applied Mathematics and Computation 6 International Journal for Numerical Methods in Engineering 5 Journal of Computational and Applied Mathematics 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematical Modelling 5 International Journal of Computational Methods 5 Advances in Applied Mathematics and Mechanics 4 Applied Mathematics Letters 3 Computational Mechanics 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 Communications in Numerical Methods in Engineering 2 Modern Physics Letters B 2 Computer Methods in Applied Mechanics and Engineering 2 American Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Journal of Scientific Computing 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Automatica 1 IEEE Transactions on Computers 1 Journal of Multivariate Analysis 1 Mechanics Research Communications 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 International Journal of Production Research 1 Applied Numerical Mathematics 1 Dynamic Systems and Applications 1 European Journal of Operational Research 1 IEEE Transactions on Systems, Man, and Cybernetics 1 SIAM Journal on Scientific Computing 1 Neural, Parallel & Scientific Computations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Combustion Theory and Modelling 1 Probability in the Engineering and Informational Sciences 1 CMES. Computer Modeling in Engineering & Sciences 1 Bulletin of the American Mathematical Society 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 SpringerBriefs in Applied Sciences and Technology all top 5 Fields 135 Numerical analysis (65-XX) 66 Partial differential equations (35-XX) 15 Mechanics of deformable solids (74-XX) 15 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 148 Publications have been cited 2,677 times in 1,422 Documents Cited by ▼ Year ▼ The method of fundamental solutions for potential, Helmholtz and diffusion problems. Zbl 0945.65130Golberg, M. A.; Chen, C. S. 270 1999 Some recent results and proposals for the use of radial basis functions in the BEM. Zbl 0948.65132Golberg, M. A.; Chen, C. S.; Bowman, H. 140 1999 A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095Zerroukat, M.; Power, H.; Chen, C. S. 114 1998 Recent advances on radial basis function collocation methods. Zbl 1282.65160Chen, Wen; Fu, Zhuo-Jia; Chen, C. S. 112 2014 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 97 2016 Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136Chen, C. S.; Cho, Hokwon A.; Golberg, M. A. 89 2006 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267Chen, C. S.; Fan, C. M.; Wen, P. H. 86 2012 An analytical model for the container loading problem. Zbl 0927.90087Chen, C. S.; Lee, S. M.; Shen, Q. S. 69 1995 The method of fundamental solutions for non-linear thermal explosions. Zbl 0839.65143Chen, C. S. 66 1995 The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172Chen, C. S.; Fan, C. M.; Wen, P. H. 64 2011 Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun 61 2016 Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Zbl 0938.65139Muleshkov, A. S.; Golberg, M. A.; Chen, C. S. 58 1999 A localized approach for the method of approximate particular solutions. Zbl 1221.65316Yao, Guangming; Kolibal, Joseph; Chen, C. S. 57 2011 Dual reciprocity method using compactly supported radial basis functions. Zbl 0927.65140Chen, C. S.; Brebbia, C. A.; Power, H. 56 1999 Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132Li, Jichun; Hon, Y. C.; Chen, C. S. 53 2002 A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang 52 2003 Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D. 49 2003 A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119Alves, C. J. S.; Chen, C. S. 49 2005 The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations. Zbl 0929.76098Chen, C. S.; Golberg, M. A.; Hon, Y. C. 45 1998 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 41 2019 On the use of boundary conditions for variational formulations arising in financial mathematics. Zbl 1047.91033Marcozzi, Michael D.; Choi, Seungmook; Chen, C. S. 41 2001 BEM for thermoelasticity and elasticity with body force – a revisit. Zbl 1014.74075Cheng, A. H.-D.; Chen, C. S.; Golberg, M. A.; Rashed, Y. F. 41 2001 Multilevel compact radial functions based computational schemes for some elliptic problems. Zbl 0999.65143Chen, C. S.; Ganesh, M.; Golberg, M. A.; Cheng, A. H.-D. 37 2002 A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276Ingber, M. S.; Chen, C. S.; Tanski, J. A. 36 2004 The method of particular solutions for solving scalar wave equations. Zbl 1208.65153Wen, P. H.; Chen, C. S. 36 2010 Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0931.65116Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H. 35 1998 Discrete projection methods for integral equations. Zbl 0900.65384Golberg, Michael A.; Chen, Ching-Shyang 34 1997 The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Zbl 1350.65136Li, Ming; Chen, C. S.; Karageorghis, A. 31 2013 A comparison of three explicit local meshless methods using radial basis functions. Zbl 1259.65155Yao, Guangming; Šarler, Bozidar; Chen, C. S. 31 2011 Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255Dangal, Thir; Chen, C. S.; Lin, Ji 31 2017 Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions. Zbl 0994.76058Golberg, M. A.; Chen, C. S.; Ganesh, M. 30 2000 The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115Li, Ming; Chen, Wen; Chen, C. S. 28 2013 Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators. Zbl 1244.65209Tsai, C. C.; Cheng, A. H.-D.; Chen, C. S. 24 2009 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 24 2007 Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM. Zbl 0914.65115Chen, C. S.; Rashed, Youssef F. 23 1998 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 23 2018 Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems. Zbl 1480.74115Lin, Ji; Chen, C. S.; Wang, Fajie; Dangal, Thir 21 2017 A numerical method for semilinear singular parabolic quenching problems. Zbl 0675.65124Chan, C. Y.; Chen, C. S. 20 1989 A novel RBF collocation method using fictitious centres. Zbl 1464.65198Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 20 2020 A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M. 20 2005 Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504Li, Jichun; Chen, C. S. 20 2003 The method of fundamental solutions for solving Poisson problems. Zbl 1011.65086Alves, C. J. S.; Chen, C. S.; Săler, B. 19 2002 Matrix decomposition RBF algorithm for solving 3D elliptic problems. Zbl 1244.65184Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. 18 2009 Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245Chen, C. S.; Lee, Sungwook; Huang, C.-S. 17 2007 Value sets of polynomials over finite fields. Zbl 0784.11056Wan, Daqing; Shiue, Peter Jau-Shyong; Chen, C. S. 16 1993 Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang 16 2004 Las Vegas method for diffusion equations. Zbl 0903.76065Chen, C. S.; Golberg, M. A. 15 1997 Some comments on the use of radial basis functions in the dual reciprocity method. Zbl 0915.73071Golberg, M. A.; Chen, C. S.; Bowman, H.; Power, H. 15 1998 The annihilator method for computing particular solutions to partial differential equations. Zbl 0945.65131Golberg, M. A.; Chen, C. S.; Rashed, Y. F. 15 1999 Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133Chen, C. S.; Golberg, M. A.; Schaback, Robert A. 15 2003 The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations. Zbl 1244.65225Tsai, Chia-Cheng; Chen, C. S.; Hsu, Tai-Wen 14 2009 A basis function for approximation and the solutions of partial differential equations. Zbl 1153.65116Tian, H. Y.; Reutskiy, S.; Chen, C. S. 14 2008 A boundary meshless method using Chebyshev interpolation and trigonometric basis function for solving heat conduction problems. Zbl 1191.80044Reutskiy, S. Yu.; Chen, C. S.; Tian, H. Y. 14 2008 A Kansa-radial basis function method for elliptic boundary value problems in annular domains. Zbl 1328.65254Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. 14 2015 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 14 2016 A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui 14 2017 Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115Reutskiy, S. Y.; Chen, C. S. 13 2006 Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming 13 2015 Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G. 13 2003 A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C. 12 2006 The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013Chen, Wen; Lin, Ji; Chen, C. S. 12 2013 The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun 12 2018 A revisit on the derivation of the particular solution for the differential operator \(\Delta^2 \pm \lambda^2\). Zbl 1262.35086Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng 12 2009 Implicit local radial basis function interpolations based on function values. Zbl 1410.65026Yao, Guangming; Duo, Jia; Chen, C. S.; Shen, L. H. 12 2015 Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H. 11 2015 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 10 2021 Solving biharmonic equation using the localized method of approximate particular solutions. Zbl 1306.65280Li, Ming; Amazzar, Ghizlane; Naji, Ahmed; Chen, C. S. 10 2014 The method of fundamental solutions and the quasi-Monte Carlo method for Poisson’s equation. Zbl 0831.65130Chen, C. S. 10 1995 The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S. 10 2017 A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110Li, Xin; Chen, C. S. 9 2004 A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193Li, Ming; Chen, C. S.; Hon, Y. C. 9 2011 Improved finite integration method for partial differential equations. Zbl 1403.65264Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H. 9 2016 A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. Zbl 1403.74328Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S. 9 2018 The radial basis function differential quadrature method with ghost points. Zbl 1510.65310Lin, Ji; Zhao, Yuxiang; Watson, Daniel; Chen, C. S. 8 2020 Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470Chang, Wanru; Chen, C. S.; Li, Wen 8 2018 On a method of Atkinson for evaluating domain integrals in the boundary element method. Zbl 0797.65090Golberg, Michael A.; Chen, C. S. 8 1994 Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries. Zbl 1437.65223Dou, Fangfang; Zhang, Li-Ping; Li, Zi-Cai; Chen, C. S. 8 2020 Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930Muleshkov, A. S.; Golberg, M. A.; Chen, C. S. 8 2005 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 8 2018 Transient 3D heat conduction in functionally graded materials by the method of fundamental solutions. Zbl 1297.80011Li, Ming; Chen, C. S.; Chu, C. C.; Young, D. L. 8 2014 A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno 8 2011 Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem. Zbl 1452.65292Zhang, Xueying; Chen, Muyuan; Chen, C. S.; Li, Zhiyong 7 2016 Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450Yang, Y. B.; Lin, S. P.; Chen, C. S. 7 2007 Fast solution of three-dimensional modified Helmholtz equations by the method of fundamental solutions. Zbl 1388.65180Lin, Ji; Chen, C. S.; Liu, Chein-Shan 7 2016 The dual reciprocity method for Helmholtz-type operators. Zbl 0929.65109Chen, C. S.; Brebbia, C. A. 7 1998 The method of fundamental solutions and compactly supported radial basis functions: A meshless approach to 3D problems. Zbl 0972.65098Chen, C. S.; Marcozzi, M. D.; Choi, S. 7 1999 Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S. 6 2017 On tight isometric immersion of codimension two. Zbl 0253.53050Chen, C.-S. 6 1972 Optimal age and block replacement for a general maintenance model. Zbl 1134.90354Chen, C. S.; Savits, Thomas H. 6 1992 Computational test of approximation of functions and their derivatives by radial basis functions. Zbl 0998.65020Li, Xin; Ho, C. H.; Chen, C. S. 6 2002 Analysis on the method of fundamental solutions for biharmonic equations. Zbl 1429.65293Dou, Fangfang; Li, Zi-Cai; Chen, C. S.; Tian, Zhaolu 6 2018 The localized method of approximated particular solutions for near-singular two- and three-dimensional problems. Zbl 1443.65432Yao, Guangming; Chen, C. S.; Li, Wen; Young, D. L. 6 2015 Minimization of fuzzy functions. Zbl 0226.94035Siy, Pepe; Chen, C. S. 5 1972 The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. 5 2020 Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems. Zbl 1287.65137Jiang, Xinrong; Chen, Wen; Chen, C. S. 5 2013 The pallet packing problem for non-uniform box sizes. Zbl 0729.90571Chen, C. S.; Sarin, S.; Ram, B. 5 1991 Method of fundamental solutions for multi-dimensional quenching problems. Zbl 0882.35064Chan, C. Y.; Chen, C. S. 5 1996 Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations. Zbl 0940.65133Chen, C. S.; Golberg, M. A.; Hon, Y. C. 5 1998 The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260Pei, Xiangnan; Chen, C. S.; Dou, Fangfang 5 2017 A discounted cost relationship. Zbl 0657.62117Chen, C. S.; Savits, Thomas H. 5 1988 Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 07443214Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S. 2 2022 The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Zbl 07318236Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. 10 2021 Ghost point method using RBFs and polynomial basis functions. Zbl 1450.65010Ma, Zhiying; Li, Xinxiang; Chen, C. S. 4 2021 Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. Zbl 1478.65135Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel 3 2021 Improved geometric modeling using the method of fundamental solutions. Zbl 1521.65135Chen, C. S.; Amuzu, Lionel; Acheampong, Kwesi; Zhu, Huiqing 2 2021 A novel RBF collocation method using fictitious centres. Zbl 1464.65198Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang 20 2020 The radial basis function differential quadrature method with ghost points. Zbl 1510.65310Lin, Ji; Zhao, Yuxiang; Watson, Daniel; Chen, C. S. 8 2020 Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudo-boundaries. Zbl 1437.65223Dou, Fangfang; Zhang, Li-Ping; Li, Zi-Cai; Chen, C. S. 8 2020 The radial basis function-differential quadrature method for elliptic problems in annular domains. Zbl 1418.65188Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. 5 2020 An efficient method of approximate particular solutions using polynomial basis functions. Zbl 1464.65228Deng, Cheng; Zheng, Hui; Fu, Mingfu; Xiong, Jingang; Chen, C. S. 4 2020 Improved RBF collocation methods for fourth order boundary value problems. Zbl 1473.65327Chen, C. S.; Karageorghis, Andreas; Zheng, Hui 3 2020 Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations. Zbl 1431.65231Ghimire, B. Khatri; Li, Xinxiang; Chen, C. S.; Lamichhane, A. R. 3 2020 The LMAPS for solving fourth-order PDEs with polynomial basis functions. Zbl 1510.65302Chen, C. S.; Shen, Shu-Hui; Dou, Fangfang; Li, J. 3 2020 An efficient MAPS for solving fourth order partial differential equations using trigonometric functions. Zbl 1443.65431Wang, Dan; Chen, C. S.; Li, Wen 3 2020 Solving fourth-order PDEs using the LMAPS. Zbl 1488.65685Deng, Cheng; Zheng, Hui; Shi, Yan; Chen, C. S. 2 2020 Implicit surface reconstruction with radial basis functions via PDEs. Zbl 1464.65237Liu, Xiao-Yan; Wang, Hui; Chen, C. S.; Wang, Qing; Zhou, Xiaoshuang; Wang, Yong 2 2020 Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 1474.65037Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong 1 2020 Localized meshless methods based on polynomial basis functions for solving axisymmetric equations. Zbl 1510.65301Chang, Wanru; Chen, C. S.; Liu, Xiao-Yan; Li, J. 1 2020 A fictitious points one-step MPS-MFS technique. Zbl 1508.65174Zhu, Xiaomin; Dou, Fangfang; Karageorghis, Andreas; Chen, C. S. 1 2020 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 41 2019 Local RBF algorithms for elliptic boundary value problems in annular domains. Zbl 1473.65326Chen, C. S.; Karageorghis, Andreas 4 2019 A novel method for solving time-dependent 2D advection-diffusion-reaction equations to model transfer in nonlinear anisotropic media. Zbl 1473.65330Lin, Ji; Reutskiy, Sergiy; Chen, C. S.; Lu, Jun 4 2019 The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming 4 2019 The method of particular solutions for solving nonlinear Poisson problems. Zbl 1442.35071Dou, Fangfang; Liu, Yanshan; Chen, C. S. 4 2019 Improved Kansa RBF method for the solution of nonlinear boundary value problems. Zbl 1403.65159Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. 23 2018 The adaptive algorithm for the selection of sources of the method of fundamental solutions. Zbl 1403.65257Lin, Ji; Lamichhane, A. R.; Chen, C. S.; Lu, Jun 12 2018 A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis. Zbl 1403.74328Xiong, Jingang; Jiang, Pengfei; Zheng, Hui; Chen, C. S. 9 2018 Solving fourth order differential equations using particular solutions of Helmholtz-type equations. Zbl 1416.65470Chang, Wanru; Chen, C. S.; Li, Wen 8 2018 Kansa RBF method for nonlinear problems. Zbl 1416.65479Jankowska, M. A.; Karageorghis, A.; Chen, C. S. 8 2018 Analysis on the method of fundamental solutions for biharmonic equations. Zbl 1429.65293Dou, Fangfang; Li, Zi-Cai; Chen, C. S.; Tian, Zhaolu 6 2018 The method of particular solutions using trigonometric basis functions. Zbl 06860277Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 4 2018 Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Zbl 1405.65157Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S. 3 2018 Solution of Cauchy problems by the multiple scale method of particular solutions using polynomial basis functions. Zbl 1475.65174Lin, Ji; Zhang, Yuhui; Dangal, Thir; Chen, C. S. 1 2018 Polynomial particular solutions for solving elliptic partial differential equations. Zbl 1368.65255Dangal, Thir; Chen, C. S.; Lin, Ji 31 2017 Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems. Zbl 1480.74115Lin, Ji; Chen, C. S.; Wang, Fajie; Dangal, Thir 21 2017 A modified method of approximate particular solutions for solving linear and nonlinear PDEs. Zbl 1383.65147Yao, Guangming; Chen, Ching-Shyang; Zheng, Hui 14 2017 The MFS versus the Trefftz method for the Laplace equation in 3D. Zbl 1403.65259Lv, Hui; Hao, Fang; Wang, Yong; Chen, C. S. 10 2017 Analysis of the method of fundamental solutions for the modified Helmholtz equation. Zbl 1411.78011Tian, Zhaolu; Li, Zi-Cai; Huang, Hung-Tsai; Chen, C. S. 6 2017 The MFS and MAFS for solving Laplace and biharmonic equations. Zbl 1403.65260Pei, Xiangnan; Chen, C. S.; Dou, Fangfang 5 2017 Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method. Zbl 1370.65070Liu, Xiao-Yan; Chen, C. S.; Karageorghis, Andreas 3 2017 On choosing the location of the sources in the MFS. Zbl 1338.65269Chen, C. S.; Karageorghis, Andreas; Li, Yan 97 2016 Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions. Zbl 1359.65222Lin, Ji; Chen, C. S.; Liu, Chein-Shan; Lu, Jun 61 2016 Kansa-RBF algorithms for elliptic problems in axisymmetric domains. Zbl 1432.65174Karageorghis, Andreas; Chen, C. S.; Liu, Xiao-Yan 14 2016 Improved finite integration method for partial differential equations. Zbl 1403.65264Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H. 9 2016 Localized method of approximate particular solutions for solving unsteady Navier-Stokes problem. 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Y. 14 2008 A matrix decomposition RBF algorithm: approximation of functions and their derivatives. Zbl 1107.65305Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis 24 2007 Derivation of particular solutions using Chebyshev polynomial based functions. Zbl 1198.65245Chen, C. S.; Lee, Sungwook; Huang, C.-S. 17 2007 Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation. Zbl 1173.74450Yang, Y. B.; Lin, S. P.; Chen, C. S. 7 2007 DRM-MD approach for modeling laser-material interaction with axial symmetry. Zbl 1195.80029Gospavić, Radovan; Popov, Viktor; Srecković, Milesa; Chen, C. S. 2 2007 Some comments on the ill-conditioning of the method of fundamental solutions. Zbl 1187.65136Chen, C. S.; Cho, Hokwon A.; Golberg, M. A. 89 2006 Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions. Zbl 1130.65115Reutskiy, S. Y.; Chen, C. S. 13 2006 A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Zbl 1104.49024Huang, C.-S.; Wang, S.; Chen, C. S.; Li, Z.-C. 12 2006 Characteristics of microjet methane diffusion flames. Zbl 1112.80310Cheng, T. S.; Chen, C.-P.; Chen, C.-S.; Li, Y.-H.; Wu, C.-Y.; Chao, Y.-C. 1 2006 A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Zbl 1070.65119Alves, C. J. S.; Chen, C. S. 49 2005 A mesh-free approach to solving the axisymmetric Poisson’s equation. Zbl 1072.65154Chen, C. S.; Muleshkov, A. S.; Golberg, M. A.; Mattheij, R. M. M. 20 2005 Particular solutions for axisymmetric Helmholtz-type operators. Zbl 1182.76930Muleshkov, A. S.; Golberg, M. A.; Chen, C. S. 8 2005 A mesh free approach using radial basis functions and parallel domain decomposition for solving three-dimensional diffusion equations. Zbl 1178.76276Ingber, M. S.; Chen, C. S.; Tanski, J. A. 36 2004 Radial basis function collocation method solution of natural convection in porous media. Zbl 1103.76361Šarler, Božidar; Perko, Janez; Chen, Ching-Shyang 16 2004 A mesh-free method using hyperinterpolation and fast Fourier transform for solving differential equations. Zbl 1081.65110Li, Xin; Chen, C. S. 9 2004 A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang 52 2003 Polynomial particular solutions for certain partial differential operators. Zbl 1019.65096Golberg, M. A.; Muleshkov, A. S.; Chen, C. S.; Cheng, A. H.-D. 49 2003 Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504Li, Jichun; Chen, C. S. 20 2003 Recent developments in the dual reciprocity method using compactly supported radial basis functions. Zbl 1043.65133Chen, C. S.; Golberg, M. A.; Schaback, Robert A. 15 2003 ...and 48 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,571 Authors 80 Chen, Ching-Shyang 75 Chen, Wen 56 Karageorghis, Andreas 38 Fan, Chia-Ming 38 Lin, Ji 33 Hon, Yiu-Chung 32 Gu, Yan 31 Young, Der-Liang 30 Dehghan Takht Fooladi, Mehdi 29 Šarler, Božidar 27 Fu, Zhuojia 27 Lesnic, Daniel 27 Ling, Leevan 25 Power, Henry 25 Tsai, Chia-Cheng 24 Li, Ming 23 Wang, Fajie 21 Liu, Chein-Shan 21 Marin, Liviu 21 Wen, Pihua 19 Qu, Wenzhen 19 Zhang, Chuanzeng 18 Alves, Carlos J. S. 17 Johansson, B. Tomas 17 Smyrlis, Yiorgos-Sokratis 15 Li, Xiaolin 15 Liu, Gui-Rong 15 Yao, Guangming 14 Li, Jichun 14 Li, Zi-Cai 14 Mai-Duy, Nam 14 Rad, Jamal Amani 13 Cheng, Alexander H.-D. 13 Li, Wen 13 Sun, Linlin 12 Godinho, Luís M. C. 12 Kazem, Saeed 12 Reutskiy, Sergiy Yu 12 Wei, Xing 11 Abbasbandy, Saeid 11 Florez, Whady Felipe 11 Golberg, Michael A. 11 Martins, Nuno F. 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R. 8 Li, Xinxiang 8 Lu, Jun 8 Sladek, Jan 8 Sladek, Vladimir 8 Valtchev, Svilen S. 8 Zhu, Huiqing 7 Dangal, Thir 7 Ghehsareh, Hadi Roohani 7 Grabski, Jakub Krzysztof 7 Kolodziej, Jan Adam 7 Ku, Cheng-Yu 7 Li, Po-Wei 7 Liu, Qingguo 7 Niu, Ruiping 7 Parand, Kourosh 7 Reeve, Thomas 7 Shokri, Ali 7 Wang, Fuzhang 7 Wei, Ting 7 Yan, Liang 6 Avazzadeh, Zakieh 6 Jafarabadi, Ahmad 6 Jankowska, Malgorzata A. 6 Lee, Ming-Gong 6 Li, Weiwei 6 Li, Xin 6 Mužík, Juraj 6 Pang, Guofei 6 Ramachandran, Palghat A. ...and 1,471 more Authors all top 5 Cited in 146 Serials 513 Engineering Analysis with Boundary Elements 99 Computers & Mathematics with Applications 74 Applied Mathematics and Computation 43 Applied Mathematical Modelling 41 Journal of Computational and Applied Mathematics 35 Journal of Computational Physics 32 International Journal of Computational Methods 32 Advances in Applied Mathematics and Mechanics 29 Inverse Problems in Science and Engineering 23 Numerical Methods for Partial Differential Equations 22 Computer Methods in Applied Mechanics and Engineering 22 Computational Mechanics 22 Applied Mathematics Letters 21 Applied Numerical Mathematics 20 Mathematics and Computers in Simulation 20 Numerical Algorithms 20 International Journal of Computer Mathematics 19 International Journal for Numerical Methods in Engineering 17 Advances in Computational Mathematics 13 International Journal of Numerical Methods for Heat & Fluid Flow 12 Mathematical Problems in Engineering 11 International Journal of Applied and Computational Mathematics 10 Journal of Scientific Computing 10 Computational and Applied Mathematics 9 Communications in Numerical Methods in Engineering 8 Communications in Computational Physics 7 Communications in Nonlinear Science and Numerical Simulation 5 Acta Mechanica 5 Mathematical and Computer Modelling 5 SIAM Journal on Scientific Computing 5 European Journal of Mechanics. 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