Edit Profile (opens in new tab) Fan, Chia-Ming Co-Author Distance Author ID: fan.chia-ming Published as: Fan, Chia-Ming; Fan, C. M.; Fan, Chia Ming more...less Documents Indexed: 80 Publications since 2002 Co-Authors: 76 Co-Authors with 71 Joint Publications 2,179 Co-Co-Authors all top 5 Co-Authors 0 single-authored 19 Young, Der-Liang 16 Gu, Yan 13 Li, Po-Wei 10 Tsai, Chia-Cheng 9 Wang, Fajie 7 Ku, Cheng-Yu 7 Yeih, Weichung 5 Murugesan, K. 5 Qu, Wenzhen 4 Chen, Ching-Shyang 4 Fu, Zhuojia 4 Zhang, Chuanzeng 3 Kuo, Chung-Lun 3 Lei, Jun 3 Wen, Pihua 3 Zhang, Ting 2 Chan, Hsin-Fang 2 Chan, I-Yao 2 Chen, Wen 2 Chen, Zengtao 2 Chu, Chi-Nan 2 Chu, Chiung-Lin 2 Grabski, Jakub Krzysztof 2 Guan, Pai-Chen 2 Li, Hong-Huei 2 Li, Ming 2 Lin, Ji 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 Chu, Wen-Hui 1 Deng, Youjun 1 Fu, Mingfu 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 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 Xing, Yanan 1 Xu, Ruiping 1 Xu, Yanjie 1 Yang, Chenchen 1 Yang, Chi-Hung 1 Yang, Min 1 Yang, Zhiqiang 1 Yue, Xingxing 1 Zhang, Juan 1 Zhang, Junli 1 Zhao, Shengdong 1 Zheng, Hui 1 Zhuang, Xiaoying all top 5 Serials 36 Engineering Analysis with Boundary Elements 5 Computers & Mathematics with Applications 5 CMES. Computer Modeling in Engineering & Sciences 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Advances in Applied Mathematics and Mechanics 2 International Journal of Heat and Mass Transfer 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 Computational Mechanics 2 European Journal of Mechanics. B. Fluids 2 International Journal of Computational Methods 2 Inverse Problems in Science and Engineering 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 70 Numerical analysis (65-XX) 26 Fluid mechanics (76-XX) 23 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-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 74 Publications have been cited 992 times in 528 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. 87 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. 65 2011 Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143 Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping 63 2019 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. 62 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. 61 2006 Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338 Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan 47 2020 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267 Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 43 2019 Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133 Li, Po-Wei; Fan, Chia-Ming 38 2017 Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056 Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen 36 2013 Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195 Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin 35 2020 Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257 Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung 34 2015 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. 33 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. 32 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. 27 2006 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542 Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 27 2020 The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152 Young, D. L.; Gu, M. H.; Fan, C. M. 25 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. 25 2006 Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193 Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie 23 2019 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. 22 2009 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026 Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 21 2021 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. 20 2006 Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172 Fan, Chia-Ming; Chan, Hsin-Fang; Kuo, Chung-Lun; Yeih, Weichung 20 2012 The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039 Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao 19 2018 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. 18 2005 Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084 Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming 18 2020 Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067 Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng 16 2019 Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132 Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming 14 2018 Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Zbl 1403.65044 Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei 13 2016 Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 1508.65166 Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming 13 2021 A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 1521.76556 Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof 13 2021 The generalized finite difference method for in-plane crack problems. Zbl 1404.74194 Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming 12 2019 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164 Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 11 2015 Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282 Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng 11 2018 Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275 Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan 11 2019 Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028 Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang 10 2015 A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373 Hu, Wen; Gu, Yan; Fan, Chia-Ming 10 2020 A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193 Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming 10 2019 Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366 Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen 8 2020 Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 1521.74360 Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming 8 2021 Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266 Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han 8 2019 Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 1524.35174 Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming 8 2021 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. 7 2005 On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288 Xiao, Jing-En; Ku, Cheng-Yu; Liu, Chih-Yu; Fan, Chia-Ming; Yeih, Weichung 7 2017 A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088 Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming 7 2020 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. 6 2006 A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363 Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying 6 2020 Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157 Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan 6 2021 Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055 Fan, Chia-Ming; Li, Hong-Huei 6 2013 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. 5 2010 The method of particular solutions using trigonometric basis functions. Zbl 1524.65900 Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 5 2018 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. 5 2006 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. 5 2014 Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241 Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan 5 2014 Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204 Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu 5 2014 Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065 Fan, Chia-Ming; Young, Der-Liang 5 2002 The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641 Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming 5 2019 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. 5 2018 Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145 Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung 4 2014 Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128 Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei 4 2018 Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401 Liu, Q. G.; Fan, C. M.; Šarler, B. 4 2021 Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 1524.65894 Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin 4 2021 Improvement of generalized finite difference method for stochastic subsurface flow modeling. Zbl 07500737 Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming 4 2021 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 4 2018 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. 3 2009 A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. Zbl 1521.76557 Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie 3 2022 The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272 Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming 3 2019 FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123 Hu, S. P.; Young, D. L.; Fan, C. M. 2 2008 A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141 Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen 2 2014 Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation. Zbl 07487718 Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming 2 2022 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. 1 2009 Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173 Wu, C. S.; Young, D. L.; Fan, C. M. 1 2011 The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems. Zbl 1521.65139 Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming; Wang, Xiao 1 2022 Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. Zbl 07342009 Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming 1 2021 A generalized finite difference method for solving elasticity interface problems. Zbl 1521.74392 Xing, Yanan; Song, Lina; Fan, Chia-Ming 1 2021 A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. Zbl 1521.76557 Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie 3 2022 Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation. Zbl 07487718 Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming 2 2022 The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems. Zbl 1521.65139 Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming; Wang, Xiao 1 2022 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026 Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 21 2021 Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 1508.65166 Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming 13 2021 A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 1521.76556 Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof 13 2021 Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 1521.74360 Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming 8 2021 Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 1524.35174 Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming 8 2021 Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157 Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan 6 2021 Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401 Liu, Q. G.; Fan, C. M.; Šarler, B. 4 2021 Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 1524.65894 Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin 4 2021 Improvement of generalized finite difference method for stochastic subsurface flow modeling. Zbl 07500737 Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming 4 2021 Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. Zbl 07342009 Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming 1 2021 A generalized finite difference method for solving elasticity interface problems. Zbl 1521.74392 Xing, Yanan; Song, Lina; Fan, Chia-Ming 1 2021 Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338 Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan 47 2020 Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195 Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin 35 2020 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542 Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 27 2020 Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084 Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming 18 2020 A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373 Hu, Wen; Gu, Yan; Fan, Chia-Ming 10 2020 Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366 Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen 8 2020 A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088 Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming 7 2020 A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363 Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying 6 2020 Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143 Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping 63 2019 Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267 Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R. 43 2019 Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193 Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie 23 2019 Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067 Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng 16 2019 The generalized finite difference method for in-plane crack problems. Zbl 1404.74194 Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming 12 2019 Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275 Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan 11 2019 A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193 Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming 10 2019 Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266 Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han 8 2019 The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641 Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming 5 2019 The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272 Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming 3 2019 The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039 Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao 19 2018 Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132 Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming 14 2018 Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282 Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng 11 2018 The method of particular solutions using trigonometric basis functions. Zbl 1524.65900 Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. 5 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. 5 2018 Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128 Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei 4 2018 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 4 2018 Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133 Li, Po-Wei; Fan, Chia-Ming 38 2017 On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288 Xiao, 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 1403.65044 Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei 13 2016 Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257 Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung 34 2015 Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164 Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen 11 2015 Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028 Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang 10 2015 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. 5 2014 Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241 Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan 5 2014 Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204 Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu 5 2014 Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145 Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung 4 2014 A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141 Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen 2 2014 Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056 Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen 36 2013 Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055 Fan, Chia-Ming; Li, Hong-Huei 6 2013 The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267 Chen, C. S.; Fan, C. M.; Wen, P. H. 87 2012 Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172 Fan, 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 1245.65172 Chen, C. S.; Fan, C. M.; Wen, P. H. 65 2011 Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173 Wu, 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 1190.80013 Hu, S. P.; Fan, C. M.; Young, D. L. 5 2010 The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152 Young, D. L.; Gu, M. H.; Fan, C. M. 25 2009 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. 22 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. 3 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. 1 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. 33 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. 32 2008 FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123 Hu, S. P.; Young, D. L.; Fan, C. M. 2 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. 61 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. 27 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. 25 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. 20 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. 6 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. 5 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. 18 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. 7 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. 62 2004 Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065 Fan, Chia-Ming; Young, Der-Liang 5 2002 all cited Publications top 5 cited Publications all top 5 Cited by 763 Authors 53 Fan, Chia-Ming 48 Gu, Yan 27 Chen, Wen 27 Wang, Fajie 26 Fu, Zhuojia 22 Li, Xiaolin 21 Young, Der-Liang 20 Zhang, Chuanzeng 19 Li, Po-Wei 19 Liu, Chein-Shan 17 Lin, Ji 17 Qu, Wenzhen 15 Qin, Qinghua 14 Lesnic, Daniel 12 Tsai, Chia-Cheng 12 Ureña, Francisco 11 Benito, Juan José 11 Chai, Yingbin 11 Johansson, B. Tomas 10 Gavete, Luis 9 Li, Junpu 8 Karageorghis, Andreas 8 Li, Wei 8 Marin, Liviu 8 Song, Lina 8 Sun, Linlin 8 Vargas, Antonio Manuel 7 Grabski, Jakub Krzysztof 7 Li, Shuling 7 Qiu, Lin 7 Reeve, Thomas 7 Ureña, Miguel 6 Alves, Carlos J. S. 6 Chen, Zengtao 6 Ku, Cheng-Yu 6 Li, Ming 6 Šarler, Božidar 5 Antunes, Pedro Ricardo Simão 5 Chen, Ching-Shyang 5 Hematiyan, Mohammad Rahim 5 Kolodziej, Jan Adam 5 Salete, Eduardo 5 Zhang, Lan 5 Zhang, Ting 4 Chen, Jeng-Tzong 4 Dehghan Takht Fooladi, Mehdi 4 Du, Guangzhi 4 Golub, Mikhail Vladimirovich 4 Hua, Qingsong 4 Kovářik, Karel 4 Kuo, Chung-Lun 4 Lee, Jia-Wei 4 Lei, Jun 4 Li, Weiwei 4 Ling, Leevan 4 Liu, Chih-Yu 4 Lu, Jun 4 Mohammadi, Mehrdad 4 Mužík, Juraj 4 Negreanu, Mihaela 4 Sun, Hongguang 4 Wang, Chao 4 Xi, Qiang 4 Yao, Guangming 4 Yeih, Weichung 4 Zhang, Xiaohua 4 Zhang, Yongou 3 Andrieux, Stéphane 3 Baranger, Thouraya Nouri 3 Boroomand, Bijan 3 Gao, Hongwei 3 Gong, Yanpeng 3 Gu, Meihua 3 Hon, Yiu-Chung 3 Kao, Shing-Kai 3 Li, Hu 3 Li, Zi-Cai 3 Liu, Fan 3 Liu, Qingguo 3 Nachaoui, Abdeljalil 3 Pettres, Roberto 3 Potier-Ferry, Michel 3 Rabczuk, Timon 3 Rao, Xiang 3 Reutskiy, Sergiy Yu 3 Silvestre, Ana Leonor 3 Sitányiová, Dana 3 Sun, Yao 3 Tang, Zhuochao 3 Valtchev, Svilen S. 3 Wang, Hui 3 Wang, Yong 3 Wang, Zhaoyang 3 Wei, Gaofeng 3 Wei, Xing 3 Xiao, Jing-En 3 Xing, Yanan 3 Zhang, Yuhui 3 Zhao, Hui 3 Zheng, Hui ...and 663 more Authors all top 5 Cited in 82 Serials 186 Engineering Analysis with Boundary Elements 37 Computers & Mathematics with Applications 23 Applied Mathematics Letters 23 Applied Mathematical Modelling 17 Inverse Problems in Science and Engineering 17 Advances in Applied Mathematics and Mechanics 16 Journal of Computational Physics 16 Applied Mathematics and Computation 14 Mathematics and Computers in Simulation 12 Journal of Computational and Applied Mathematics 9 Numerical Algorithms 9 International Journal of Computational Methods 7 International Journal of Computer Mathematics 7 Mathematical Problems in Engineering 6 Computational Mechanics 6 Numerical Methods for Partial Differential Equations 5 Computers and Fluids 5 Computer Methods in Applied Mechanics and Engineering 5 International Journal of Heat and Mass Transfer 5 International Journal for Numerical Methods in Engineering 4 Acta Mechanica 4 Mathematical Methods in the Applied Sciences 4 AIMS Mathematics 3 Journal of Fluid Mechanics 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Computational and Applied Mathematics 3 Advances in Computational Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics and Mechanics of Solids 2 European Journal of Mechanics. A. Solids 2 European Journal of Mechanics. B. Fluids 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Applied and Computational Mathematics 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Modern Physics Letters B 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 Chaos, Solitons and Fractals 1 BIT 1 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Mathematical and Computer Modelling 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Advances in Engineering Software 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Complexity 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Royal Society of London. Series A. 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Transaction A: Science 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Journal of Nonlinear Science and Applications 1 S\(\vec{\text{e}}\)MA Journal 1 Mathematics 1 Journal of Linear and Topological Algebra 1 Journal of Function Spaces 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 Journal of Applied Mathematics and Computational Mechanics 1 SN Partial Differential Equations and Applications all top 5 Cited in 34 Fields 445 Numerical analysis (65-XX) 169 Partial differential equations (35-XX) 137 Fluid mechanics (76-XX) 127 Mechanics of deformable solids (74-XX) 57 Classical thermodynamics, heat transfer (80-XX) 12 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 8 Approximations and expansions (41-XX) 7 Geophysics (86-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year