Members
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Professor:Chia-Ming Fan
National Taiwan University, Institute of Civil Engineering, Ph.D. |
- National Taiwan Ocean University, Department of Hehai Engineering, Bachelor
- National Taiwan University, Institute of Civil Engineering, Master
- National Taiwan University, Institute of Civil Engineering, Ph.D.
- T. Zhang*, Y.J. Huang, L. Liang, C.M. Fan and P.W. Li, Numerical solutions of mild slope equation by generalized finite difference method, Engineering Analysis with Boundary Elements, 88, 1-13, 2018.
- Z. Tian, X. Li*, C.M. Fan and C.S. Chen, The method of particular solutions using trigonometric basis functions, Journal of Computational and Applied Mathematics, 335, 20-32, 2018.
- B. Lei, C.M. Fan and M. Li*, The method of fundamental solutions for solving non-linear Berger equation of thin elastic plate, Engineering Analysis with Boundary Elements, 90, 100-106, 2018.
- Y. Gu*, J. Lei*, C.M. Fan, and X.Q. He, The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation, Engineering Analysis with Boundary Elements, 91, 73-81, 2018.
- Y. Wang, Y. Gu*, C.M. Fan, W. Chen and C. Zhang, Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials, Engineering Analysis with Boundary Elements, 94, 94-102, 2018.
- P.W. Li*, W. Chen, Z.J. Fu and C.M. Fan, Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media, Engineering Analysis with Boundary Elements, 95, 175-186, 2018.
- Z. Tian*, C.M. Fan, Y. Deng and P.H. Wen, New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations, Journal of the Franklin Institute, 355, 8346-8372, 2018.
- L. Chiu*, C.M. Fan and S.C. Tsung, Numerical modeling for periodic oscillation of free overfall in a vertical drop pool, ASCE Journal of Hydraulic Engineering, 143(1), 04016077-1-04016077-14, 2017.
- W. Li and C.M. Fan*, Generalized finite difference method for two-dimensional shallow water equations, Engineering Analysis with Boundary Elements, 80, 58-71, 2017.
- E. Xiao, C.Y. Ku*, C.Y. Liu, C.M. Fan and W. Yeih, On solving free surface problems in layered soil using the method of fundamental solutions, Engineering Analysis with Boundary Elements, 83, 96-106, 2017.
- P. Yang*, P.C. Guan and C.M. Fan, Solving inverse Laplace equation with singularity by weighted reproducing kernel collocation method, International Journal of Applied Mechanics, 9(5), 1750065, 2017.
- T. Zhang*, Y.F. Ren, Z.Q. Yang, C.M. Fan and P.W. Li, Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume, Ocean Engineering, 123, 278-290, 2016. (SCI)
- T. Zhang*, Y.F. Ren, Z.Q. Yang, C.M. Fan, Generalized finite difference method for non-linear free-surface problems of liquid sloshing, Journal of Sichuan University (Engineering Science Edition), 48(1), 8-14,2016. (In Chinese) 張挺、任聿飛、楊志強、范佳銘，基於廣義有限差分法求解非線性自由液面的液體晃動問題，四川大學學報(工程科學版)，第48卷，第1期，第8-14頁，2016年。(EI)
- Zhang, Y.F. Ren, C.M. Fan* and P.W. Li, Simulation of two-dimensional sloshing phenomenon by generalized finite difference method, Engineering Analysis with Boundary Elements, 63, 82-91, 2016.
- Y. Ku*, C.L. Kuo, C.M. Fan, C.S. Liu and P.C. Guan, Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method, Engineering Analysis with Boundary Elements, 50, 157-168, 2015.
- M. Fan*, P.W. Li and W. Yeih, Generalized finite difference method for solving two-dimensional inverse Cauchy problems, Inverse Problems in Science & Engineering, 23(5), 737-759, 2015.
- M. Fan*, C.H. Yang and W.S. Lai, Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions, Engineering Analysis with Boundary Elements, 57, 47-57, 2015.
- M. Fan* and P.W. Li, Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and the Laplacian decomposition, Numerical Heat Transfer, Part B: Fundamentals, 68, 204-223, 2015.
- M. Fan*, Y.K. Huang, P.W. Li and Y.T. Lee, Numerical solutions of two-dimensional Stokes flows by the boundary knot method, CMES: Computer Modeling in Engineering & Sciences, 105(6), 491-515, 2015.
- Yeih, I.Y. Chan*, C.Y. Ku and C.M. Fan, Solving the inverse Cauchy problem of the Laplace equation using the method of fundamental solutions and the exponentially convergent scalar homotopy algorithm (ECSHA), Journal of Marine Science and Technology, 23(2), 162-171, 2015.
- P.W. Li, C.M. Fan*, C.Y. Chen and C.Y. Ku, Generalized finite difference method for numerical solutions of density-driven groundwater flows, CMES: Computer Modeling in Engineering & Sciences, 101(5), 319-350, 2014.
- C.M. Fan*, C.H. Yang and M.H. Gu, Applications of the local RBF collocation method and the fictitious time integration method for Burgers’ equations, Procedia Engineering, 79, 569-574, 2014.
- C.M. Fan* and P.W. Li, Generalized finite difference method for solving two-dimensional Burgers’ equations, Procedia Engineering, 79, 55-60, 2014.
- W. Yeih*, I.Y. Chan, C.M. Fan, J.J. Chang and C.S. Liu, Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process, CMES: Computer Modeling in Engineering & Sciences, 99(2), 169-194, 2014.
- W. Yeih*, I.Y. Chan, C.Y. Ku, C.M. Fan and P.C. Guan, A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations, CMES: Computer Modeling in Engineering & Sciences, 99(2), 123-149, 2014.
- C.M. Fan*, H.H. Li, C.Y. Hsu and C.H. Lin, Solving inverse Stokes problems by modified collocation Trefftz method, Journal of Computational and Applied Mathematics, 268, 68-81, 2014.
- C.M. Fan*, Y.K. Huang, P.W. Li and C.L. Chiu, Application of the generalized finite-difference method to inverse biharmonic boundary-value problems, Numerical Heat Transfer, Part B: Fundamentals, 65, 129-154, 2014.
- C.M. Fan*, Y.C. Liu, H.F. Chan and S.S. Hsiao, Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method, Inverse Problems in Science & Engineering, 22(2), 267-281, 2014.
- H.M. Fang, C.M. Fan*, Y.C. Liu and S.S. Hsiao, The least squares Trefftz method and the method of external source for the eigenfrequencies of waveguides, Journal of Marine Science and Technology, 21(6), 703-710, 2013.
- H.F. Chan, C.M. Fan* and C.W. Kuo, Generalized finite difference method for solving two-dimensional nonlinear obstacle problems, Engineering Analysis with Boundary Elements, 37, 1189-1196, 2013.
- H.F. Chan and C.M. Fan*, The local radial basis function collocation method for solving two-dimensional inverse Cauchy problems, Numerical Heat Transfer, Part B: Fundamentals, 63, 284-303, 2013.
- H.F. Chan and C.M. Fan*, The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problem for the biharmonic problem, Journal of Mechanics, 29, 363-372, 2013.
- C.M. Fan* and H.H. Li, Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition, Applied Mathematics and Computation, 219, 6520-6535, 2013.
- C.M. Fan*, C.S. Chien, H.F. Chan and C.L. Chiu, The local RBF collocation method for solving the double-diffusive natural convection in fluid-saturated porous media, International Journal of Heat and Mass Transfer, 57, 500-503, 2013.
- C.S. Chen*, C.M. Fan and P.H. Wen, The method of approximate particular solutions for solving certain partial differential equations, Numerical Methods for Partial Differential Equations, 28, 506-522, 2012.
- C.M. Fan*, H.F. Chan, C.L. Kuo and W. Yeih, Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm, Engineering Analysis with Boundary Elements, 36, 2-8, 2012.
- M.H. Gu, C.M. Fan and D.L. Young*, The method of fundamental solutions for the multi-dimensional wave equations, Journal of Marine Science and Technology, 19(6), 586-595, 2011.
- C.M. Fan*, H.H. Li and C.L. Kuo, The modified collocation Trefftz method and Laplacian decomposition for solving two-dimensional Stokes problems, Journal of Marine Science and Technology, 19(5), 522-530, 2011
- H.F. Chan, C.M. Fan* and W. Yeih, Solution of inverse boundary optimization problem by Trefftz method and exponentially convergent scalar homotopy algorithm, CMC: Computers, Materials, & Continua, 24(2), 125-142, 2011.
- C.S. Wu, D.L. Young* and C.M. Fan, Frequency response analyses in vibroacoustics using the method of fundamental solutions, Computational Mechanics, 47, 519-533, 2011.
- C.S. Chen*, C.M. Fan and P.H. Wen, The method of approximate particular solutions for solving elliptic problems with variable coefficients, International Journal of Computational Methods, 8(3), 545-559, 2011.
- C.M. Fan* and H.F. Chan, Modified collocation Trefftz method for the geometry boundary identification problem of heat conduction, Numerical Heat Transfer, Part B: Fundamentals, 59, 58-75, 2011.
- C.M. Fan*, C.S. Liu, W. Yeih and H.F. Chan, The scalar homotopy method for solving non-linear obstacle problem, CMC: Computers, Materials, & Continua, 15(1), 67-86, 2010.
- S.P. Hu, C.M. Fan and D.L. Young*, The meshless analog equation method for solving heat transfer to molten polymer flow in tubes, International Journal of Heat and Mass Transfer, 53, 2240-2247, 2010.
- M.H. Gu, D.L. Young* and C.M. Fan, The method of fundamental solutions for one-dimensional wave equations, CMC: Computers, Materials, & Continua, 11(3), 185-208, 2009.
- D.L. Young*, M.H. Gu and C.M. Fan, The time-marching method of fundamental solutions for wave equations, Engineering Analysis with Boundary Elements, 33, 1411-1425, 2009.
- C.M. Fan, D.L. Young* and C.L. Chiu, Method of fundamental solutions with external source for the eigenfrequencies of waveguides, Journal of Marine Science and Technology, 17(3), 164-172, 2009.
- C.C. Tsai, D.L. Young*, C.L. Chiu and C.M. Fan, Numerical analysis of acoustic modes using the linear least squares method of fundamental solutions, Journal of Sound and Vibration, 324, 1086-1110, 2009.
- D.L. Young*, Y.C. Lin, C.M. Fan and C.L. Chiu, The method of fundamental solutions for solving incompressible Navier-Stokes equations, Engineering Analysis with Boundary Elements, 33, 1031-1044, 2009.
- C.M. Fan*, C.S. Chen and J. Monroe, The method of fundamental solutions for solving convection-diffusion equations with variable coefficients, Advances in Applied Mathematics and Mechanics, 1(2), 215-230, 2009.
- C.L. Chiu, C.M. Fan and D.L. Young*, 3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill, International Journal of Heat and Mass Transfer, 52, 1677-1689, 2009.
- D.L. Young*, C.H. Chen, C.M. Fan and L.H. Shen, The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations, Numerical Methods for Partial Differential Equations, 25, 195-211, 2009.
- M.H. Gu, D.L. Young* and C.M. Fan, The meshless method for one-dimensional hyperbolic equation, Journal of Aeronautics, Astronautics and Aviation, Series A, 40 , 63-72, 2008.
- S.P. Hu, D.L. Young* and C.M. Fan, FDMFS for diffusion equation with unsteady forcing function, CMES: Computer Modeling in Engineering & Sciences, 24(1), 1-20, 2008.
- D.L. Young*, C.M. Fan, S.P. Hu and S.N. Atluri, The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations, Engineering Analysis with Boundary Elements, 32, 395-412, 2008.
- D.L. Young*, C.C. Tsai, C.W. Chen and C.M. Fan, The method of fundamental solutions and condition number analysis for inverse problem of Laplace equation, Computers & Mathematics with Applications, 55, 1189-1200, 2008.
- K. Murugesan, D.C. Lo, D.L. Young*, C.W. Chen and C.M. Fan, Convective drying analysis of three-dimensional porous solid by mass lumping finite element technique, Heat and Mass Transfer, 44, 401-412, 2008.
- D.L. Young*, C.L. Chiu and C.M. Fan, A hybrid Cartesian/immersed-boundary finite-element method for simulating heat and flow patterns in a two-roll mill, Numerical Heat Transfer, Part B: Fundamentals, 51, 251-274, 2007.
- C.L. Chiu, C.M. Fan and D.L. Young*, Meshless numerical solutions for Burgers’ equations by Multiquadrics method and Cole-Hopf transformation, Journal of Aeronautics, Astronautics and Aviation, Series A, 39(1), 1-8, 2007.
- K. Murugesan, D.C. Lo, D.L. Young*, C.M. Fan and C.W. Chen, Global matrix-free finite-element scheme for natural convection in a square cavity with step blockage, Numerical Heat Transfer, Part B: Fundamentals, 50, 353-373, 2006.
- D.L. Young*, C.L. Chiu, C.M. Fan, C.C. Tsai and Y.C. Lin, Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation, European Journal of Mechanics B/Fluids, 25, 877-893, 2006.
- C.C. Tsai, D.L. Young* and C.M. Fan, Method of fundamental solutions for plate vibrations in multiply connected domains, Journal of Mechanics, 22, 235-245, 2006.
- C.C. Tsai, D.L. Young*, C.M. Fan and C.W. Chen, MFS with time-dependent fundamental solutions for unsteady Stokes equations, Engineering Analysis with Boundary Elements, 30, 897-908, 2006.
- D.L. Young*, C.W. Chen, C.M. Fan and C.C. Tsai, The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation, Numerical Methods for Partial Differential Equations, 22, 1173-1196, 2006.
- D.L. Young*, S.P. Hu, C.M. Fan and C.W. Chen, Method of fundamental solutions and Cole-Hopf transformation for Burgers’ equations, Computational Fluid Dynamics Journal, 14(4), 454-467, 2006.
- C.C. Tsai, D.L. Young*, C.W. Chen and C.M. Fan, The method of fundamental solutions for eigenproblems in domains with and without interior holes, Proceedings of the Royal Society A, 462, 1443-1466, 2006
- D.L. Young*, C.M. Fan, C.C. Tsai, C.W. Chen and K. Murugesan, Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation, International Mathematical Forum, 1(14), 687-706, 2006.
- D.L. Young*, C.L. Chiu and C.M. Fan, Non-singular boundary integral equation for two-dimensional electromagnetic scattering problems, Microwave and Optical Technology Letters, 48(4), 760-765, 2006.
- D.L. Young*, C.M. Fan, C.C. Tsai and C.W. Chen, The method of fundamental solutions and domain decomposition method for degenerate seepage flownet problems, Journal of the Chinese Institute of Engineers, 29(1), 63-73, 2006.
- D.L. Young*, S.J. Jane, C.M. Fan, K. Murugesan and C.C. Tsai, The method of fundamental solutions for 2D and 3D Stokes problems, Journal of Computational Physics, 211, 1-8, 2006.
- D.L. Young*, C.W. Chen, C.M. Fan, K. Murugesan and C.C. Tsai, The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders, European Journal of Mechanics B/Fluids, 24, 703-716, 2005.
- C.W. Chen, C.M. Fan, D.L. Young*, K. Murugesan and C.C. Tsai, Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition, CMES: Computer Modeling in Engineering & Sciences, 8(1), 29-44, 2005.
- S.P. Hu, C.M. Fan, C.W. Chen and D.L. Young*, Method of fundamental solutions for Stokes’ first and second problems, Journal of Mechanics, 21(1), 25-31, 2005.
- D.L. Young*, S.P. Hu, C.W. Chen, C.M. Fan and K. Murugesan, Analysis of elliptical waveguides by the method of fundamental solutions, Microwave and Optical Technology Letters, 44(6), 552-558, 2005
- D.L. Young*, C.C. Tsai, K. Murugesan, C.M. Fan and C.W. Chen, Time-dependent fundamental solutions for homogeneous diffusion problems. Engineering Analysis with Boundary Elements, 28, 1463-1473, 2004.
- D.L. Young*, C.C. Tsai, and C.M. Fan, Direct approach to solve nonhomogeneous diffusion problems using fundamental solutions and dual reciprocity methods. Journal of the Chinese Institute of Engineers, 27(4), 597-609, 2004.
- C.M. Fan and D.L. Young*, Analysis of the 2D Stokes flows by the non-singular boundary integral equation method, International Mathematical Journal, 2(12), 1199-1215, 2002.
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- 105年,專題研究計畫 (一般型研究計畫),海洋工程,以廣義有限差分法建立數值波浪水槽並研究非線性波浪傳遞現象,計畫主持人,核定金額：$481000
- 104年,專題研究計畫 (一般型研究計畫),海洋工程,結合廣義有限差分法與圖形處理器平行計算以發展高效率之淺水波方程式模擬模式,計畫主持人,核定金額：$669000
- 103年,專題研究計畫 (一般型研究計畫),近海及離岸工程,淺水波方程式之創新與平行化模擬模式研發,計畫主持人,核定金額：$511000
- 101年,專題研究計畫 (一般型研究計畫),永續發展研究-工程技術,建立高精度與高效能之洪氾預警整合系統–子計畫:建立高效能二維淹水模式(III),計畫主持人,核定金額：$469000
- 100年,專題研究計畫 (一般型研究計畫),永續發展研究-工程技術,建立高精度與高效能之洪氾預警整合系統–子計畫:建立高效能二維淹水模式(II),計畫主持人,核定金額：$726000
- 99年,專題研究計畫 (一般型研究計畫),永續發展研究-工程技術,建立高精度與高效能之洪氾預警整合系統–子計畫:建立高效能二維淹水模式(I),計畫主持人,核定金額：$699000
- 99年,專題研究計畫 (一般型研究計畫),土木材料,電化學除鹽技術的研究,共同主持人,核定金額：$1959000
- 98年,專題研究計畫 (一般型研究計畫),近海及離岸工程,以特解法求解對流擴散方程式,計畫主持人,核定金額：$363000
- 98年,專題研究計畫 (新進人員研究計畫),水利工程,以基本解數值方法求解速度渦度方程式,計畫主持人,核定金額：$126000