Edit Profile (opens in new tab) Fan, Chia-Ming Compute Distance To: Compute Author ID: fan.chia-ming Published as: Fan, Chia-Ming; Fan, Chia Ming; Fan, C. M. Documents Indexed: 77 Publications since 2002 Co-Authors: 65 Co-Authors with 50 Joint Publications 1,502 Co-Co-Authors all top 5 Co-Authors 0 single-authored 15 Gu, Yan 12 Li, Po-Wei 8 Wang, Fajie 7 Ku, Cheng-Yu 7 Yeih, Weichung 5 Murugesan, K. 5 Qu, Wenzhen 4 Fu, Zhuojia 4 Zhang, Chuanzeng 3 Kuo, Chung-Lun 3 Lei, Jun 2 Chan, Hsin-Fang 2 Chan, I-Yao 2 Chen, Ching-Shyang 2 Chen, Zengtao 2 Chu, Chi-Nan 2 Chu, Chiung-Lin 2 Guan, Pai-Chen 2 Li, Hong-Huei 2 Liu, Chein-Shan 2 Liu, Chih-Yu 2 Ren, Yufei 2 Šarler, Božidar 2 Song, Lina 2 Tian, Zhaolu 2 Xiao, Jing-En 2 Zhao, Qinghai 1 Atluri, Satya N. 1 Bai, Zi-Qiang 1 Chang, Jiang-Jhy 1 Chen, Chunyu 1 Chen, Jiahn-Horng 1 Chen, Shang-Ying 1 Chen, Wen 1 Chu, Wen-Hui 1 Deng, Youjun 1 Grabski, Jakub Krzysztof 1 Gu, Meihua 1 He, Xiaoqiao 1 Hsiao, Sung-Shan 1 Hsu, Chuan-Yen 1 Hsu, Kuo-Chin 1 Hu, Wen 1 Hua, Qingsong 1 Huang, Ji 1 Huang, Ying-Jie 1 Jane, S. J. 1 Kuo, Chia-Wen 1 Kuo, Shyh-Rong 1 Lai, Wei-Shiang 1 Lei, Bin 1 Li, Ai-Lun 1 Li, Tsung-Han 1 Li, Xiaolin 1 Li, Xinxiang 1 Liang, Lin 1 Lin, Chun-Hung 1 Lin, Ji 1 Liu, Qingguo 1 Liu, Shuainan 1 Liu, Xia 1 Liu, Yancheng 1 Lyu, Hongguan 1 Shuy, Rong-Juin 1 Wang, Dan 1 Wang, Qin 1 Wang, Yuanyuan 1 Wen, Pihua 1 Wen, Pihua H. 1 Xing, Yanan 1 Xu, Ruiping 1 Xu, Yanjie 1 Yang, Chi-Hung 1 Yang, Min 1 Yang, Zhiqiang 1 Young, Der-Liang 1 Yue, Xingxing 1 Zhao, Shengdong 1 Zhuang, Xiaoying all top 5 Serials 35 Engineering Analysis with Boundary Elements 5 Computers & Mathematics with Applications 5 CMES. Computer Modeling in Engineering & Sciences 3 Applied Mathematics and Computation 3 Numerical Methods for Partial Differential Equations 2 International Journal of Heat and Mass Transfer 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Computational Mechanics 2 European Journal of Mechanics. B. Fluids 2 International Journal of Computational Methods 2 Inverse Problems in Science and Engineering 2 Advances in Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of Sichuan University. Engineering Science Edition 1 International Mathematical Journal 1 International Mathematical Forum all top 5 Fields 66 Numerical analysis (65-XX) 30 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 16 Partial differential equations (35-XX) 6 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Geophysics (86-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 947 times in 211 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. 81 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. 58 2004 The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172Chen, C. S.; Fan, C. M.; Wen, P. H. 57 2011 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. 56 2006 Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping 54 2019 Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan 38 2020 Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen 34 2013 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. 34 2019 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. 32 2008 Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133Li, Po-Wei; Fan, Chia-Ming 32 2017 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. 30 2008 Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung 30 2015 Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin 27 2020 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. 26 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. 22 2006 The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152Young, D. L.; Gu, M. H.; Fan, C. M. 21 2009 Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172Fan, Chia-Ming; Chan, Hsin-Fang; Kuo, Chung-Lun; Yeih, Weichung 20 2012 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 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. 18 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. 17 2005 The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao 16 2018 Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie 15 2019 Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Zbl 1403.65044Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei 13 2016 Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng 10 2019 Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming 10 2018 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 9 2015 Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang 9 2015 The generalized finite difference method for in-plane crack problems. Zbl 1404.74194Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming 9 2019 A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming 8 2019 Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming 7 2020 On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288Xiao, Jing-En; Ku, Cheng-Yu; Liu, Chih-Yu; Fan, Chia-Ming; Yeih, Weichung 7 2017 Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng 7 2018 Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han 7 2019 Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan 7 2019 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. 6 2005 Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055Fan, Chia-Ming; Li, Hong-Huei 6 2013 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. 6 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 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 Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065Fan, Chia-Ming; Young, Der-Liang 5 2002 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. 5 2014 A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373Hu, Wen; Gu, Yan; Fan, Chia-Ming 5 2020 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 07409061Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 5 2020 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 07409167Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 5 2021 Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan 5 2014 A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying 5 2020 Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung 4 2014 Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen 4 2020 A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 07390972Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof 3 2021 Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 07422770Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming 3 2021 Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu 3 2014 Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei 3 2018 The method of particular solutions using trigonometric basis functions. Zbl 06860277Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 3 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. 3 2018 FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123Hu, S. P.; Young, D. L.; Fan, C. M. 2 2008 Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan 2 2021 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 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 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 A generalized finite difference method for solving elasticity interface problems. Zbl 07371618Xing, Yanan; Song, Lina; Fan, Chia-Ming 1 2021 Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 07371641Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming 1 2021 Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 07308032Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming 1 2021 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 1 2019 A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen 1 2014 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 A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming 1 2020 Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401Liu, Q. G.; Fan, C. M.; Šarler, B. 1 2021 Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 07336174Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin 1 2021 The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming 1 2019 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 07409167Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 5 2021 A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 07390972Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof 3 2021 Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 07422770Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming 3 2021 Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan 2 2021 A generalized finite difference method for solving elasticity interface problems. Zbl 07371618Xing, Yanan; Song, Lina; Fan, Chia-Ming 1 2021 Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 07371641Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming 1 2021 Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 07308032Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming 1 2021 Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401Liu, Q. G.; Fan, C. M.; Šarler, B. 1 2021 Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 07336174Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin 1 2021 Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan 38 2020 Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin 27 2020 Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming 7 2020 A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373Hu, Wen; Gu, Yan; Fan, Chia-Ming 5 2020 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 07409061Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 5 2020 A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying 5 2020 Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen 4 2020 A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming 1 2020 Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping 54 2019 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. 34 2019 Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie 15 2019 Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng 10 2019 The generalized finite difference method for in-plane crack problems. Zbl 1404.74194Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming 9 2019 A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming 8 2019 Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han 7 2019 Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan 7 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 1 2019 The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming 1 2019 The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao 16 2018 Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming 10 2018 Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng 7 2018 Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei 3 2018 The method of particular solutions using trigonometric basis functions. Zbl 06860277Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 3 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. 3 2018 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 Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133Li, Po-Wei; Fan, Chia-Ming 32 2017 On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288Xiao, Jing-En; Ku, Cheng-Yu; Liu, Chih-Yu; Fan, Chia-Ming; Yeih, Weichung 7 2017 Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Zbl 1403.65044Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei 13 2016 Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung 30 2015 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 9 2015 Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang 9 2015 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. 5 2014 Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan 5 2014 Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung 4 2014 Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu 3 2014 A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen 1 2014 Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen 34 2013 Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055Fan, Chia-Ming; Li, Hong-Huei 6 2013 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267Chen, C. S.; Fan, C. M.; Wen, P. H. 81 2012 Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172Fan, Chia-Ming; Chan, Hsin-Fang; Kuo, Chung-Lun; Yeih, Weichung 20 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. 57 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 time-marching method of fundamental solutions for wave equations. Zbl 1244.65152Young, D. L.; Gu, M. H.; Fan, C. M. 21 2009 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 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 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 and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M. 32 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. 30 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. 56 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. 26 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. 22 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. 18 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. 6 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. 17 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. 6 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. 58 2004 Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065Fan, Chia-Ming; Young, Der-Liang 5 2002 all cited Publications top 5 cited Publications all top 5 Cited by 332 Authors 37 Fan, Chia-Ming 30 Gu, Yan 18 Wang, Fajie 16 Li, Po-Wei 14 Fu, Zhuojia 14 Qu, Wenzhen 13 Liu, Chein-Shan 12 Lin, Ji 11 Benito, Juan José 11 Ureña, Francisco 11 Zhang, Chuanzeng 10 Gavete, Luis 8 Li, Xiaolin 7 Qin, Qinghua 6 Chai, Yingbin 6 Li, Junpu 6 Song, Lina 6 Ureña, Miguel 6 Vargas, Antonio Manuel 5 Chen, Wen 5 Sun, Linlin 4 Chen, Zengtao 4 Ku, Cheng-Yu 4 Li, Wei 4 Qiu, Lin 4 Salete, Eduardo 4 Šarler, Božidar 3 Chen, Ching-Shyang 3 Hematiyan, Mohammad Rahim 3 Hua, Qingsong 3 Lei, Jun 3 Li, Hu 3 Li, Shuling 3 Lu, Jun 3 Reutskiy, Sergiy Yu 3 Sun, Hongguang 3 Wei, Gaofeng 3 Xing, Yanan 3 Zhang, Lan 3 Zhang, Yongou 2 Chen, Linchong 2 Chu, Chi-Nan 2 Feng, Wenjie 2 Gao, Hongwei 2 Golub, Mikhail V. 2 Grabski, Jakub Krzysztof 2 Guo, Shuaiping 2 He, Hua 2 He, Xiaoqiao 2 Hong, Yongxing 2 Huang, Ying-Jie 2 Karageorghis, Andreas 2 Kuo, Chung-Lun 2 Li, Ai-Lun 2 Li, Weiwei 2 Lin, Chuan 2 Liu, Chih-Yu 2 Liu, Qingguo 2 Liu, Shuainan 2 Mohammadi, Mehrdad 2 Nachaoui, Abdeljalil 2 Negreanu, Mihaela 2 Wang, Yuanyuan 2 Wang, Zhaoyang 2 Wang, Zhiming 2 Wei, Xing 2 Wu, Qiqiang 2 Xi, Qiang 2 Xia, Hao 2 Xiao, Jing-En 2 Xie, Guizhong 2 Yang, Liwen 2 Yao, Guangming 2 Yeih, Weichung 2 Yu, Yue 2 Yue, Xingxing 2 Zhao, Qinghai 2 Zheng, Bin 2 Zheng, Hui 1 Abbasbandy, Saeid 1 Albuquerque-Ferreira, A. C. 1 Alves, Carlos J. S. 1 Aminataei, Azim 1 Ammosov, Dmitry 1 An, Tong 1 Arora, Surbhi 1 Aslefallah, Mohammad 1 Atluri, Satya N. 1 Bai, Bing 1 Bason, G. L. 1 Bi, Qinsheng 1 Borkowski, Mariusz 1 Bustamante, Carlos Andres 1 Cai, Bin 1 Cai, Wei 1 Cámara-Molina, J. C. 1 Cao, Leilei 1 Cao, Yang 1 Chakib, Abdelkrim 1 Chan, Hsin-Fang ...and 232 more Authors all top 5 Cited in 35 Serials 95 Engineering Analysis with Boundary Elements 17 Applied Mathematics Letters 15 Computers & Mathematics with Applications 13 Applied Mathematical Modelling 10 Advances in Applied Mathematics and Mechanics 6 Journal of Computational and Applied Mathematics 6 Inverse Problems in Science and Engineering 5 Mathematics and Computers in Simulation 5 Mathematical Problems in Engineering 4 Journal of Computational Physics 4 Applied Mathematics and Computation 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Computational Mechanics 2 International Journal of Computer Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 AIMS Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Numerical Mathematics 1 Computational Mathematics and Modeling 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 Complexity 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 International Journal of Computational Methods 1 Journal of Nonlinear Science and Applications 1 Journal of Linear and Topological Algebra 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 Journal of Applied Mathematics and Computational Mechanics 1 Electronic Research Archive 1 Results in Applied Mathematics all top 5 Cited in 23 Fields 179 Numerical analysis (65-XX) 64 Mechanics of deformable solids (74-XX) 53 Partial differential equations (35-XX) 46 Fluid mechanics (76-XX) 18 Classical thermodynamics, heat transfer (80-XX) 10 Optics, electromagnetic theory (78-XX) 8 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year