范佳銘 Chia-Ming Fan

現職 河海工程學系 教授兼副系主任  范佳銘老師
E-mail cmfan@ntou.edu.tw
個人實驗室
實驗室網站
河工二館511室
電話 (02) 2462-2192 #6122 & 6138
學歷 國立臺灣海洋大學 河海工程系 學士
國立臺灣大學 土木工程學研究所 碩士
國立臺灣大學 土木工程學研究所 博士
學術專長 計算水力學、數值計算方法、應用數學
研究主題 計算水力學、數值計算方法、應用數學
教授課程 大學部:

  • 工程數學(一)
  • 工程數學(二)
  • MATLAB程式設計與應用

研究所:

  • 計算水力學
  • 無網格法
主要經歷 國立臺灣大學 土木工程學研究所 博士後研究
美國南密西西比大學 數學系 博士後研究
國立臺灣海洋大學河海工程系 助理教授
國立臺灣海洋大學河海工程系 副教授
國立臺灣海洋大學河海工程系 教授
 學術服務
 獲獎 國立臺灣海洋大學99學年度校級教學優良教師
國立臺灣海洋大學99學年度院級教學優良教師
著作目錄

 

(期刊論文)

  1. 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)
  2. 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)
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. C.M. Fan* and P.W. Li, Generalized finite difference method for solving two-dimensional Burgers’ equations, Procedia Engineering, 79, 55-60, 2014.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. 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.
  54. 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.
  55. 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
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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.
  61. 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.
  62. 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.
  63. 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
  64. 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.
  65. 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.
  66. 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.

會議論文(Conference Papers)

  1. Po-Wei Li and Chia-Ming Fan, The generalized finite difference method for two-dimensional shallow water equations, 2015 International Workshop on Typhoon and Flood – APEC Experience Sharing on Hazardous Weather Events and Risk Management, GIS NTU Convention Center, May 27-29, 2015.
  2. Chia-Ming Fan, Chieh-Lin Chen, Po-Wei Li and Yu-Kai Huang, Numerical solutions of sloshing phenomenon by singular boundary method, 第三屆台灣工業與應用數學會年會,義守大學,高雄,台灣,5月30-31日,2015。
  3. 李宗翰、范佳銘,以廣義有限差分法模擬限制與非限制含水層之地下水流動問題,第三屆台灣工業與應用數學會年會,義守大學,高雄,台灣,5月30-31日,2015。
  4. Chia-Ming Fan, Tsung-Han Li, Chien-Chung Chang, Po-Wei Li and Yu-Kai Huang, Generalized finite difference method for solving inverse Cauchy problems, The 5th Asia-Pacific International Conference on Computational Methods in Engineering and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, Oct 11-13, 2015.
  5. Yu-Kai Huang and Chia-Ming Fan, Numerical solutions of Signorini problems by singular boundary method, Joint International Conference on Trefftz Method VII and Method of Fundamental Solutions III, Hangzhou, China, Oct 11-13, 2015.
  6. Ying-Te Lee, Chia-Ming Fan and Shyh-Rong Kuo, A nonsingular boundary collocation method for the inverse problems in elasticity, The 5th Asia-Pacific International Conference on Computational Methods in Engineering and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, Oct 11-13, 2015.
  7. Po-Wei Li and Chia-Ming Fan, A characteristic-based meshless model for numerical solutions of shallow water equations, The 5th Asia-Pacific International Conference on Computational Methods in Engineering and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, Oct 11-13, 2015.
  8. Weichung Yeih, I-Yao Chan, Cheng-Yu Ku, Chia-Ming Fan and Jiang-Jhy Chang, Determining temperature distribution and heat source for materials with nonlinear heat conduction coefficients using Cauchy data, The 5th Asia-Pacific International Conference on Computational Methods in Engineering and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, Oct 11-13, 2015.
  9. Po-Wei Li and Chia-Ming Fan, Generalized finite difference method for two-dimensional transient free-surface flows, 1st Association of Computational Mechanics Taiwan (ACMT) Conference, Taipei, Oct 22-23, 2015.
  10. Cheng-Yu Ku, Jing-En Xiao, Chia-Ming Fan, Chih-Yu Liu and Weichung Yeih, Numerical solutions of transient groundwater flow in heterogeneous soil formations using the method of fundamental solutions, 1st Association of Computational Mechanics Taiwan (ACMT) Conference, Taipei, Oct 22-23, 2015.
  11. Chia-Ming Fan, Yu-Kai Huang, Pai-Chen Guan and Po-Wei Li, Numerical investigations of error in generalized finite difference method for second-order partial differential equations, 1st Association of Computational Mechanics Taiwan (ACMT) Conference, Taipei, Oct 22-23, 2015.
  12. Chia-Ming Fan, Li-Jen Chang, Chieh-Lin Chen, Po-Wei Li and Yu-Kai Huang, Singular boundary method for two-dimensional numerical wave flume, Proceedings of the 37th Ocean Engineering Conference in Taiwan, National Chung Hsing University, November 12-13, 2015.
  13. Po-Wei Li and Chia-Ming Fan, The generalized finite difference method for two-dimensional shallow water equations, Proceedings of the 37th Ocean Engineering Conference in Taiwan, National Chung Hsing University, November 12-13, 2015.
  14. Tsai-Jung Kuo, Chia-Ming Fan, Chien-Chung Chang and Po-Wei Li, Generalized finite difference method for transient heat conduction problems in functionally graded materials, The 39th National Conference on Theoretical and Applied Mechanics, Taipei, Taiwan, ROC, November 20-21, 2015.
  15. Yin-Chi Lan, Chia-Ming Fan, Yu-Kai Huang and Po-Wei Li, Boundary Knot method for numerical solutions of inverse problems governed by Laplace equation and biharmonic equation, The 39th National Conference on Theoretical and Applied Mechanics, Taipei, Taiwan, ROC, November 20-21, 2015.
  16. W.S. Lai, C.M. Fan and M,H, Gu, Meshless method for solving inverse problems governed by fourth-order partial differential equations, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  17. Y.K. Huang, C.M. Fan, P.W. Li and Y.T. Lee, The boundary knot method for two-dimensional Stokes flows, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  18. C.C. Chang, C.M. Fan and P.W. Li, Numerical solutions of three-dimensional inverse Cauchy problems by using generalized finite difference method, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  19. Y.T. Lee, C.M. Fan and Y.K. Huang, Boundary knot method for boundary value problem in elasticity, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  20. P.W. Li and C.M. Fan, Generalized finite difference method for solving double-diffusive natural convection in fluid-saturated porous media, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  21. T.H. Li, P.W. Li and C.M. Fan, Application of generalized finite difference method to groundwater flow in confined aquifer, The 38th National Conference on Theoretical and Applied Mechanics, Keelung, Taiwan, Nov 21-22, 2014.
  22. C.M. Fan, Y.K. Huang, P.W. Li and Y.T. Lee, Numerical solutions of two-dimensional Stokes flow by the boundary knot method, International Conference on Computational & Experimental Engineering and Sciences, Changwon, Korea, June 12 – 17, 2014.
  23. P.W. Li, C.M. Fan, C.Y. Chen and C.Y. Ku, Generalized finite difference method for numerical solutions of density-driven groundwater flow, International Conference on Computational & Experimental Engineering and Sciences, Changwon, Korea, June 12 – 17, 2014.
  24. C.M. Fan, Numerical solutions of fluid flow field by using the localized method of approximate particular solutions, 5th Asia-Pacific Congress on Computational Mechanics (APCOM2013) & 4th International Symposium on Computational Mechanics (ISCM2013), Singapore, Dec 11-14, 2013.
  25. C.M. Fan and C.H. Yang, Numerical solutions of velocity-vorticity formulation by local RBF collocation method, 2013 Taiwan-Czech Workshop on Computational Mechanics and Wind Engineering, Keelung, Taiwan, Nov. 19, 2013.
  26. 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, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
  27. C.M. Fan, Y.K. Huang, P.W. Li and C.L. Chiu, Generalized finite difference method for solving inverse problems governed by fourth-order partial differential equations, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
  28. C.M. Fan and P.W. Li, Generalized finite difference method for solving two-dimensional Burgers’ equations, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
  29. C.M. Fan, P.W. Li, C.C. Chang and W. Yeih, Applications of the generalized finite difference method for inverse Cauchy problems, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
  30. C.M. Fan, W.Y. Ding and P.W. Li, Generalized finite difference method for solving two-dimensional Navier-Stokes equations, 第四屆兩岸水動力學研討會,台北,台灣,十月28-29日,2013.
  31. C.M. Fan and C.H. Yang, Numerical solutions of velocity-vorticity formulation by using the local RBF collocation method, 第四屆兩岸水動力學研討會,台北,台灣,十月28-29日,2013.
  32. C.M. Fan and P.W. Li, The method of fundamental solutions and Laplacian decomposition for solving two-dimensional Stokes problems, ICOME2012/JASCOME2012, Kyoto, Japan, 12-14 Dec., 2012.
  33. C.H. Yang, C.M. Fan, H.F. Chan and M.H. Gu, The local RBF collocation method for solving the non-linear obstacle problems, The 36th National Conference on Theoretical and Applied Mechanics, Taoyuan, Taiwan, Nov. 16 – 17, 2012.
  34. W.Y. Ding, C.M. Fan and H.F. Chan, The local RBF collocation method for solving the two-dimensional inverse Cauchy problems, The 36th National Conference on Theoretical and Applied Mechanics, Taoyuan, Taiwan, Nov. 16 – 17, 2012.
  35. P.W. Li, C.M. Fan, Y.C. Liu and S.S. Hsiao, Solution of the inverse impedance problem by using the modified collocation Trefftz method, The 36th National Conference on Theoretical and Applied Mechanics, Taoyuan, Taiwan, Nov. 16 – 17, 2012.
  36. H.F. Chan and C.M. Fan, Local RBF collocation method and fictitious time integration method for solving the obstacle problems, European Congress on Computational Methods in Applied Sciences and Engineering 2012, Vienna, Austria, Sep. 10-14, 2012.
  37. C.M. Fan and H.F. Chan, Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and Laplacian decomposition, European Congress on Computational Methods in Applied Sciences and Engineering 2012, Vienna, Austria, Sep. 10-14, 2012.
  38. C.Y. Hsu, C.M. Fan and H.F. Chan, Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for analyzing cathodic protection, The 11th International Conference on Fluid Control, Measurements, and Visualization, Keelung, Taiwan, Dec. 5-9, 2011.
  39. C.S. Chien, C.M. Fan and Y.C. Liu, The local RBF collocation method for solving the double-diffusive nature convection in parallelogrammic enclosures filled with fluid-saturated porous media problem, The 11th International Conference on Fluid Control, Measurements, and Visualization, Keelung, Taiwan, Dec. 5-9, 2011.
  40. C.H. Lin, C.M. Fan and H.F. Chan, The local RBF-based differential quadrature method for free surface Stefan problem, The 11th International Conference on Fluid Control, Measurements, and Visualization, Keelung, Taiwan, Dec. 5-9, 2011.
  41. H.F. Chan and C.M. Fan, Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for solving free-surface seepage problems, Third International Symposium on Computational Mechanics and Second Symposium on Computational Structural Engineering, Taipei, Taiwan, Dec. 5-7, 2011.
  42. Y.C. Liu, C.M. Fan, H.F. Chan and S.S. Hsiao, Solving the boundary detection problem governed by modified Helmholtz equation by the least-squares Trefftz method, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  43. C.Y. Hsu, C.M. Fan and H.F. Chan, Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for heat conduction problem with material nonlinearity, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  44. C.S. Chien and C.M. Fan, The local RBF collocation method for solving the double diffusive natural convection in a vertical porous enclosure with localized heating and salting from on side, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  45. H.F. Chan and C.M. Fan, Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the shape optimization of an inverse Stokes problem, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  46. P.W. Li, C.M. Fan and C.S. Chien, The finite difference method combined with exponentially convergent scalar homotopy algorithm for solving the density-driven groundwater flow problems, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  47. C.H. Lin, C.M. Fan and H.F. Chan, Fictitious time integration method for solving diffusion equation with non-local boundary condition, The 35th National Conference on Theoretical and Applied Mechanics, Tainan, Taiwan, Nov. 18 – 19, 2011.
  48. C.M. Fan, H.H. Li and C.H. Lin, Solving inverse Stokes problems by modified collocation Trefftz method, ICCES Special Symposium on Meshless & Other Novel Computational Methods, Zonguldak, Turkey, Sep. 6 – 10, 2011.
  49. H.F. Chan, C.M. Fan, Y.C. Liu and C.Y. Hsu, The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for solving Signorini problems, 2011 International Workshop on Typhoon and Flood, Taipei, Taiwan, June 23 – 24, 2011.
  50. C.Y. Ku, C.S. Liu, W. Yeih and C.M. Fan, A novel perturbed dynamical method for solving singular systems of nonlinear equations, International Conference on Computational & Experimental Engineering and Sciences, Nanjing, China, Apr. 18 – April 21, 2011.
  51. H.F. Chan and C.M. Fan, The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary optimization problem, International Conference on Computational & Experimental Engineering and Sciences, Nanjing, China, Apr. 18 – April 21, 2011.
  52. W. Yeih, C.M. Fan, Z.C. Chang and C.Y. Ku, Solving the Cauchy problem of nonlinear steady-state heat conduction problem equations by using the polynomial expansion method and the exponentially convergent scalar homotopy method (ECSHA), International Conference on Computational & Experimental Engineering and Sciences, Nanjing, China, Apr. 18 – April 21, 2011.
  53. Y.C. Liu, C.M. Fan, H.F. Chan and S.S. Hsiao, The method of fundamental solutions for the harbor oscillation problem, International Conference on Computational & Experimental Engineering and Sciences, Nanjing, China, Apr. 18 – April 21, 2011.
  54. H.H. Li. C.M. Fan and H.F. Chan, Solving the direct and inverse Stokes problems by the boundary knot method and Laplacian decomposition, Joint International Workshop on Trefftz Method VI and Method of Fundamental Solutions II, Kaohsiung, Taiwan, March 15-18, 2011.
  55. Y.C. Liu, C.M. Fan, H.F. Chan and S.S. Hsiao, The least squares Trefftz method with external source for the eigenfrequencies of waveguides, Joint International Workshop on Trefftz Method VI and Method of Fundamental Solutions II, Kaohsiung, Taiwan, March 15-18, 2011.
  56. H.F. Chan and C.M. Fan, The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problem, Joint International Workshop on Trefftz Method VI and Method of Fundamental Solutions II, Kaohsiung, Taiwan, March 15-18, 2011.

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計畫總覽(Plans)

  1. 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
  2. 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
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  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
更新日期:2017/02/10