Edit Profile Fan, Cheng-Ming Compute Distance To: Compute Author ID: fan.cheng-ming Published as: Fan, C. M.; Fan, Cheng-Ming Documents Indexed: 27 Publications since 1996 Co-Authors 0 single-authored 1 Shyr, Huei-Jan Serials 1 Tamkang Journal of Mathematics Fields 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 26 Publications have been cited 429 times in 287 Documents Cited by ▼ Year ▼ The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267Chen, C. S.; Fan, C. M.; Wen, P. H. 62 2012 Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W. 54 2004 The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C. 53 2006 The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172Chen, C. S.; Fan, C. M.; Wen, P. H. 44 2011 The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M. 30 2008 The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N. 28 2008 The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M. 24 2006 The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L. 19 2009 MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W. 19 2006 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 07034726Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 16 2019 Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C. 16 2006 The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C. 16 2005 The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152Young, D. L.; Gu, M. H.; Fan, C. M. 15 2009 The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013Hu, S. P.; Fan, C. M.; Young, D. L. 5 2010 Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K. 5 2006 The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C. 5 2006 Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C. 5 2005 Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S. 3 2014 The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307Lei, Bin; Fan, C. M.; Li, Ming 2 2018 FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123Hu, S. P.; Young, D. L.; Fan, C. M. 2 2008 New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H. 1 2018 The method of particular solutions using trigonometric basis functions. Zbl 06860277Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 1 2018 Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173Wu, C. S.; Young, D. L.; Fan, C. M. 1 2011 3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314Chiu, C. L.; Fan, C. M.; Young, D. L. 1 2009 The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H. 1 2009 Some properties of Fibonacci languages. Zbl 0857.68069Fan, Cheng-Ming; Shyr, H. J. 1 1996 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 07034726Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 16 2019 The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307Lei, Bin; Fan, C. M.; Li, Ming 2 2018 New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H. 1 2018 The method of particular solutions using trigonometric basis functions. Zbl 06860277Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 1 2018 Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S. 3 2014 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267Chen, C. S.; Fan, C. M.; Wen, P. H. 62 2012 The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172Chen, C. S.; Fan, C. M.; Wen, P. H. 44 2011 Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173Wu, C. S.; Young, D. L.; Fan, C. M. 1 2011 The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013Hu, S. P.; Fan, C. M.; Young, D. L. 5 2010 The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L. 19 2009 The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152Young, D. L.; Gu, M. H.; Fan, C. M. 15 2009 3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314Chiu, C. L.; Fan, C. M.; Young, D. L. 1 2009 The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H. 1 2009 The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M. 30 2008 The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N. 28 2008 FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123Hu, S. P.; Young, D. L.; Fan, C. M. 2 2008 The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C. 53 2006 The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M. 24 2006 MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W. 19 2006 Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C. 16 2006 Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K. 5 2006 The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C. 5 2006 The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C. 16 2005 Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C. 5 2005 Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W. 54 2004 Some properties of Fibonacci languages. Zbl 0857.68069Fan, Cheng-Ming; Shyr, H. J. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 447 Authors 22 Fan, Chia-Ming 18 Chen, Ching-Shyang 15 Chen, Wen 14 Young, Dennis L. 13 Lesnic, Daniel 12 Gu, Yan 10 Johansson, B. Tomas 9 Li, Xiaolin 9 Lin, Ji 8 Wang, Fajie 8 Young, Der-Liang 7 Fu, Zhuojia 7 Ling, Leevan 7 Liu, Chein-Shan 7 Reeve, Thomas 7 Tsai, Chia-Cheng 7 Yao, Guangming 7 Zhang, Chuanzeng 6 Bustamante, Carlos Andres 6 Florez, Whady Felipe 6 Karageorghis, Andreas 6 Lamichhane, A. R. 6 Li, Po-Wei 6 Marin, Liviu 6 Power, Henry 6 Qu, Wenzhen 5 Fan, Congmin 5 Hon, Yiu-Chung 5 Šarler, Božidar 4 Alves, Carlos J. S. 4 Antunes, Pedro Ricardo Simão 4 Kolodziej, Jan Adam 4 Li, Wen 4 Qin, Qinghua 4 Reutskiy, Sergiy Yu 4 Wang, Hui 3 Andrieux, Stéphane 3 Aslefallah, Mohammad 3 Baranger, Thouraya Nouri 3 Chen, Caisheng 3 Chen, Wen 3 Cheng, Alexander H.-D. 3 Dangal, Thir 3 Dou, Fangfang 3 Fan, Cheng-Ming 3 Grabski, Jakub Krzysztof 3 Gu, Meihua 3 Hong, Yongxing 3 Kalra, Manjeet S. 3 Khatri Ghimire, B. 3 Li, Xinxiang 3 Liu, Xiaoyan 3 Munshi, P. 3 Naji, Ahmed Mohammed 3 Pettres, Roberto 3 Potier-Ferry, Michel 3 Povitsky, Alex 3 Shivanian, Elyas 3 Siraj-ul-Islam 3 Valtchev, Svilen S. 3 Xiong, Jingang 3 Yan, Liang 3 Yang, Fenglian 3 Yeih, Weichung 3 Zhang, Xiaohua 3 Zhang, Xueying 3 Zheng, Hui 3 Zhu, Jialin 2 Abbasbandy, Saeid 2 Amado-Mendes, P. 2 Boroomand, Bijan 2 Bulko, Roman 2 Buryachenko, Valeriy A. 2 Chang, Jen-Yi 2 Chen, Chuansheng 2 Chen, Jeng-Tzong 2 Cheung, Ka Chun 2 Chiang, John Y. 2 Chu, Chi-Nan 2 De Lacerda, Luiz Alkimin 2 Dehghan Takht Fooladi, Mehdi 2 Godinho, Luís M. C. 2 Granados, J. M. 2 Hematiyan, Mohammad Rahim 2 Hsu, Taiwen 2 Hu, Shipei 2 Kolibal, Joseph 2 Kovářik, Karel 2 Kuo, Chung-Lun 2 Kuo, Leihsin 2 Lee, Jia-Wei 2 Leu, Shyue-Yuh 2 Li, Michelle 2 Li, Ming 2 Li, Shuling 2 Li, Weiwei 2 Li, Wen 2 Li, Zi-Cai 2 Liu, Qingguo 2 Lockerby, Duncan A. ...and 347 more Authors all top 5 Cited in 52 Serials 116 Engineering Analysis with Boundary Elements 24 Computers & Mathematics with Applications 12 Applied Mathematical Modelling 12 Inverse Problems in Science and Engineering 11 Journal of Computational Physics 8 International Journal of Computer Mathematics 7 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 5 International Journal of Heat and Mass Transfer 5 Numerical Methods for Partial Differential Equations 5 Applied Mathematics Letters 5 International Journal of Computational Methods 4 Computers and Fluids 4 Computational Mechanics 3 Acta Mechanica 3 Journal of Fluid Mechanics 3 International Journal for Numerical Methods in Engineering 3 Applied Numerical Mathematics 3 Journal of Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series S 1 Modern Physics Letters B 1 Acta Informatica 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 BIT 1 Mathematics and Computers in Simulation 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 Advances in Engineering Software 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Differential Equations and Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Engineering Computations 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Frontiers of Mathematics in China all top 5 Cited in 24 Fields 226 Numerical analysis (65-XX) 90 Partial differential equations (35-XX) 81 Fluid mechanics (76-XX) 52 Mechanics of deformable solids (74-XX) 30 Classical thermodynamics, heat transfer (80-XX) 7 Approximations and expansions (41-XX) 5 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Citations by Year