# zbMATH — the first resource for mathematics

## Fan, Cheng-Ming

Compute Distance To:
 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)

#### 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 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
2012
Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622
Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W.
2004
The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332
Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
2006
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.
2011
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087
Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M.
2008
The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096
Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N.
2008
The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339
Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M.
2006
The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104
Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L.
2009
MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324
Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W.
2006
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.
2019
Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020
Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C.
2006
The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319
Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
2005
The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152
Young, D. L.; Gu, M. H.; Fan, C. M.
2009
The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013
Hu, S. P.; Fan, C. M.; Young, D. L.
2010
Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384
Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K.
2006
The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099
Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C.
2006
Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421
Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C.
2005
Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241
Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S.
2014
The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307
Lei, Bin; Fan, C. M.; Li, Ming
2018
FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123
Hu, S. P.; Young, D. L.; Fan, C. M.
2008
New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257
Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H.
2018
The method of particular solutions using trigonometric basis functions. Zbl 06860277
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
2018
Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173
Wu, C. S.; Young, D. L.; Fan, C. M.
2011
3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314
Chiu, C. L.; Fan, C. M.; Young, D. L.
2009
The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472
Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H.
2009
Some properties of Fibonacci languages. Zbl 0857.68069
Fan, Cheng-Ming; Shyr, H. J.
1996
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.
2019
The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307
Lei, Bin; Fan, C. M.; Li, Ming
2018
New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257
Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H.
2018
The method of particular solutions using trigonometric basis functions. Zbl 06860277
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
2018
Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241
Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S.
2014
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
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.
2011
Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173
Wu, C. S.; Young, D. L.; Fan, C. M.
2011
The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013
Hu, S. P.; Fan, C. M.; Young, D. L.
2010
The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104
Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L.
2009
The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152
Young, D. L.; Gu, M. H.; Fan, C. M.
2009
3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314
Chiu, C. L.; Fan, C. M.; Young, D. L.
2009
The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472
Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H.
2009
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087
Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M.
2008
The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096
Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N.
2008
FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123
Hu, S. P.; Young, D. L.; Fan, C. M.
2008
The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332
Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
2006
The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339
Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M.
2006
MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324
Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W.
2006
Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020
Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C.
2006
Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384
Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K.
2006
The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099
Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C.
2006
The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319
Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
2005
Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421
Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C.
2005
Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622
Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W.
2004
Some properties of Fibonacci languages. Zbl 0857.68069
Fan, Cheng-Ming; Shyr, H. J.
1996
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#### 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
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#### 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)