| Issue Date | Title | Author(s) | Source | WOS | Fulltext/Archive link |
1 | 2023 | Meshless generalized finite difference method with a domain-decomposition method for solving Helmholtz equation and its application to caisson resonance problems | Huang, Ji; Lyu, Hong-Guan; Chen, Jiahn-Horng ; Fan, Chia-Ming | OCEAN ENGINEERING | 0 | |
2 | 2022 | The localized method of fundamental solutions for 2D and 3D inhomogeneous problems | Zhang, Junli; Yang, Chenchen; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-Fu | MATHEMATICS AND COMPUTERS IN SIMULATION | 0 | |
3 | 2022 | Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems | Zhang, Junli; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-Fu | MATHEMATICS | 0 | |
4 | 2022 | Meshless Generalized Finite Difference Method for the Propagation of Nonlinear Water Waves under Complex Wave Conditions | Huang, Ji; Fan, Chia-Ming ; Chen, Jiahn-Horng ; Yan, Jin | MATHEMATICS | 2 | |
5 | 2021 | Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory | Gu, Yan; Fan, Chia-Ming ; Fu, Zhuojia | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 38 | |
6 | 2021 | Analysis of in-plane crack problems using the localized method of fundamental solutions | Gu, Yan; Golub, Mikhail, V; Fan, Chia-Ming | ENGINEERING FRACTURE MECHANICS | 13 | |
7 | 2021 | A novel space-time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates | Lei, Jun; Wei, Xun; Wang, Qin; Gu, Yan; Fan, Chia-Ming | ARCHIVE OF APPLIED MECHANICS | 4 | |
8 | 2021 | A generalized finite difference method for solving elasticity interface problems | Xing, Yanan; Song, Lina; Fan, Chia-Ming | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 3 | |
9 | 2021 | Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains | Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming | APPLIED MATHEMATICS AND COMPUTATION | 29 | |
10 | 2021 | Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method | Liu, Yan-Cheng; Fan, Chia-Ming ; Yeih, Weichung ; Ku, Cheng-Yu ; Chu, Chiung-Lin | COMPUTERS & MATHEMATICS WITH APPLICATIONS | 16 | |
11 | 2021 | Improvement of generalized finite difference method for stochastic subsurface flow modeling | Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming | JOURNAL OF COMPUTATIONAL PHYSICS | 8 | |
12 | 2020 | On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method | Ji Huang; Chi-Nan Chu; Chia-Ming Fan ; Jiahn-Horng Chen ; Hongguan Lyu | Engineering Analysis with Boundary Elements | 7 | |
13 | 2020 | Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method | Qinghai Zhao; Chia-Ming Fan ; Fajie Wang; Wenzhen Qu | Engineering Analysis with Boundary Elements | 14 | |
14 | 2020 | Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition | Lina Song; Po-Wei Li; Yan Gu; Chia-Ming Fan | Computers & Mathematics with Applications | 24 | |
15 | 2020 | A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems | Fajie Wang; Chia-Ming Fan ; Chuanzeng Zhang; Ji Lin | Advances in Applied Mathematics and Mechanics | 54 | |
16 | 2020 | Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions | Wenzhen Qu; Chia-Ming Fan ; Xiaolin Li | Computers & Mathematics with Applications | 52 | |
17 | 2020 | Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation | Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming | MATHEMATICS AND COMPUTERS IN SIMULATION | 0 | |
18 | 2020 | A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials | Wen Hu; Yan Gu; Chia-Ming Fan | Engineering Analysis with Boundary Elements | 11 | |
19 | 2020 | Solving Boussinesq equations with a meshless finite difference method | Ting Zhang; Zhen-Huan Lin; Guan-Yi Huang; Chia-Ming Fan ; Po-Wei Li | Ocean Engineering | 14 | |
20 | 2020 | Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations | Fajie Wang; Chia-Ming Fan ; Qingsong Hua; Yan Gu | Applied Mathematics and Computation | 66 | |
21 | 2019 | Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code | Yan Gu; Chia-Ming Fan ; Wenzhen Qu; Fajie Wang; Chuanzeng Zhang | Computational Mechanics | 28 | |
22 | 2019 | Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions | Wenzhen Qu; Chia-Ming Fan ; Yan Gu; Fajie Wang | Applied Mathematical Modelling | 32 | |
23 | 2019 | Localized method of fundamental solutions for interior Helmholtz problems with high wave number | Qu Wenzhen; Chia-Ming Fan ; Gu Yan | Engineering Analysis with Boundary Elements | 12 | |
24 | 2019 | Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems - Theory and MATLAB code | Yan Gu; Chia-Ming Fan ; WenZhen Qu; Fajie Wang | Computers & Structures | 8 | |
25 | 2019 | A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations | Bai Zi-Qiang; Gu Yan; Fan Chia-Ming | Engineering Analysis with Boundary Elements | 15 | |
26 | 2019 | Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems | Yan Gu; Chia-Ming Fan ; Rui-Ping Xu | Applied Mathematics Letters | 76 | |
27 | 2019 | A novel space-time meshless method for solving the backward heat conduction problem | Cheng-Yu Ku ; Chih-Yu Liu; Wei-Chung Yeih ; Chein-Shan Liu ; Chia-Ming Fan | International Journal of Heat and Mass Transfer | 18 | |
28 | 2019 | The generalized finite difference method for in-plane crack problems | Lei Jun; Xu Yanjie; Gu Yan; Chia-Ming Fan | Engineering Analysis with Boundary Elements | 24 | |
29 | 2018 | Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials | Wang, Y. Y.; Gu, Y.; Chia-Ming Fan ; Chen, W.; Zhang, C. Z. | Engineering Analysis with Boundary Elements | 2 | |
30 | 2018 | The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation | Yan Gu; Jun Lei; Chia-Ming Fan ; Xiao-Qiao He | Engineering Analysis with Boundary Elements | 28 | |
31 | 2018 | The method of fundamental solutions for solving non-linear Berger equation of thin elastic plate | Bin Lei; C.M. Fan ; Ming Li | Engineering Analysis with Boundary Elements | 4 | |
32 | 2018 | Numerical solutions of mild slope equation by generalized finite difference method | Zhang Ting; Huang Ying-Jie; Chyuan-Liang Lin; Chia-Ming Fan ; Li Po-Wei | Engineering Analysis with Boundary Elements | 13 | |
33 | 2016 | Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume | Ting Zhang; Yu-Fei Ren; Zhi-Qiang Yang; Chia-Ming Fan ; Po-Wei Li | Ocean Engineering | 24 | |
34 | 2016 | Simulation of two-dimensional sloshing phenomenon by generalized finite difference method | Ting Zhang; Yu-Fei Ren; Chia-Ming Fan ; Po-Wei Li | Engineering Analysis with Boundary Elements | 29 | |
35 | 2015 | Generalized finite difference method for non-linear free-surface problems of liquid sloshing | 張挺; 任聿飛; 楊志強; 范佳銘 | 四川大学学报(工程科学版) | | |
36 | 2014 | Solving inverse Stokes problems by modified collocation Trefftz method | Chia-Ming Fan ; Hong-Huei Li; Chuan-Yen Hsu; Chun-Hung Lin | Journal of Computational and Applied Mathematics | 7 | |
37 | 2014 | Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method | C.M. Fan ; Y.C. Liu; H.F. Chan; S.S. Hsiao | Inverse Problems in Science and Engineering | 14 | |
38 | 2013 | Generalized finite difference method for solving two-dimensional non-linear obstacle problems | Hsin-Fang Chan; Chia-Ming Fan ; Chia-Wen Kuo | Engineering Analysis with Boundary Elements | 59 | |
39 | 2013 | Generalized finite difference method for solving two-dimensional nonlinear obstacle problems | Hsin-Fang Chan; Chia-Ming Fan ; Chia-Wen Kuo | Engineering Analysis with Boundary Elements | | |
40 | 2013 | The local RBF collocation method for solving the double-diffusive natural convection in fluid-saturated porous media | Chia-Ming Fan ; Chih-Shuan Chien; Hsin-Fang Chan; Chia-Lin Chiu | International Journal of Heat and Mass Transfer | 49 | |
41 | 2012 | Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm | Chia-Ming Fan ; Hsin-Fang Chan; Chung Lun Kuo ; Wei-Chung Yeih | Engineering Analysis with Boundary Elements | 46 | |
42 | 2011 | THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS | C. S. CHEN; C. M. FAN ; P. H. WEN | International Journal of Computational Methods | 88 | |
43 | 2010 | The meshless analog equation method for solving heat transfer to molten polymer flow in tubes | S.P. Hu; C.M. Fan ; D.L. Young | International Journal of Heat and Mass Transfer | 9 | |
44 | 2009 | The time-marching method of fundamental solutions for wave equations | D.L. Young; M.H. Gu; C.M. Fan | Engineering Analysis with Boundary Elements | 40 | |
45 | 2009 | The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients | Fan, CM ; Chen, CS; Monroe, J | Advances in Applied Mathematics and Mechanics | | |
46 | 2008 | The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equations | D.L. Young; C.M. Fan ; S.P. Hu; S.N. Atluri | Engineering Analysis with Boundary Elements | 58 | |