Professor Li-Ming Yeh

Contact

• Email: liming@math.nctu.edu.tw
• Tel: +886-3-571-2121 ext. 56439
• Fax: +886-3-572-4679
• Address: Department of Applied Mathematics, National Yang Ming Chiao Tung University,1001 Ta Hsueh Road, Hsinchu, Taiwan 30050, ROC

Teaching

• Fall Semester, 2024：
  • Partial Differential Equations (I)
  • Fourier Analysis and Applications
• Spring Semester, 2024：
  • Calculus A (II)

Vitae

• Education
  • B.S. in Mathematics, National Taiwan Normal University.
  • M.S. in Mathematics, National Tsing Hua University.
  • Purdue Univ. Ph.D. in Mathematics.
• Research Areas
  • Numerical Analysis
  • Differential Equations
• Positions, Honors and Awards
  • Lecturer, Yuanpei institute of medical technology. ( 08/1986 - 05/1988)
  • Associate, Department of Applied Mathematics, National Chiao-Tung University. ( 08/1994 - 07/2001)
  • Professor, Department of Applied Mathematics, National Chiao-Tung University. ( 08/2001 - )
• Recent Research Projects
  • Numerical methods for differential equations in irregular domains (101-2115-M-009-012-)
  • Numerical error analysis for elliptic and parabolic equations in highly heterogeneous media  (99-2115-M-009-009-MY2)
  • Macroscopic equations for heat conduction in fractured porous media (98-2115-M-009-011-)
  • Two-component miscible or immiscible displacement in random porous media(96-2115-M-009-008-MY2)
  • Two-phase flows in random porous media (1/3) (NSC 95-2115-M-009-011-)
  • Macroscopic models for two-phase flows in fractured media(2/2)( NSC 94-2115-M-009-008-)
  • Macroscopic models for two-phase flows in fractured media(1/2) ( NSC 93-2115-M-009-009- )
  • Scale of Two-Phase Flows in Fractured Media(3/3)( NSC 92-2115-M-009-002- )
  • Scale of Two-Phase Flows in Fractured Media(2/3) ( NSC 91-2115-M-009-003- )

Selected Publications

(A)   Refereed Papers：

1. L. M. Yeh, Subsonic solutions of hydrodynamic model for semiconductors, Mathematical Methods in Applied Science 1997, V.20, pp. 1389-1410.
2. L. M. Yeh (with Jim Douglas Jr., Felipe Pereira), A parallel method for two-phase flows in naturally fractured reservoirs, Computational Geosciences 1997, V.1, no 3-4, pp. 333-368.
3. L. M. Yeh (with Jim Douglas Jr., Frederico Furtado, Felipe Pereira), Numerical Methods for Transport-Dominated Flows in Heterogeneous Porous Media, Computational Methods in Water Resources XII, vol. 1, 1998, pp. 469-476.
4. L. M. Yeh, Convergence of A Dual-Porosity Model for Two-phase Flow in Fractured Reservoirs, Mathematical Methods in Applied Science 2000, V.23, pp. 777-802.
5. L. M. Yeh (with Jim Douglas Jr., Felipe Pereira), A Locally Conservative Eulerian-Lagrangian Numerical Method and its Application to Nonlinear Transport in Porous Media, Computational Geosciences 2000, V.4, no 1, pp. 1-40.
6. L. M. Yeh(with Jim Douglas Jr., Felipe Pereira), A Locally Conservative Eulerian-Lagrangian Method for Flow in a Porous Medium of a Mixture of Two Components Having Different Densities, Numerical Treatment of Multiphase Flows in Porous Media(Zhangxin Chen, Richard E. Ewing, and Z.-C. Shi ed.), Lecture Notes in Physics 2000, Vol. 552, pp. 138-155.
7. L. M. Yeh, Relations between phase mobilities and capillary pressures of two-phase flows in fractured media, Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment(Zhangxin Chen, Richard E. Ewing ed.), Contemporary Mathematics 2002, Vol. 295, pp. 159-171.
8. L. M. Yeh(with Jim Douglas Jr., Felipe Pereira), Algorithmic Aspects of a Locally Conservative Eulerian-Lagrangian Method for Transport-dominated Diffusion System, Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment (Zhangxin Chen, Richard E. Ewing ed.), Contemporary Mathematics 2002, Vol. 295, pp. 37-48.
9. L. M. Yeh, On two-phase flows in fractured Media, Mathematical Models and Methods in Applied Science 2002, Vol. 12, No. 8, pp. 1075-1107.
10. Li-Ming Yeh, “Homogenization of two-phase flows in fractured media”, Mathematical Models and Methods in Applied Sciences 11(16) 2006 (accepted)
11. Li-Ming Yeh, “Holder continuity for two-phase flows in porous media”, Mathematical Methods in Applied Sciences, 2006. (accepted)
12. Jim Douglas, Jr., Li-Ming Yeh, “Two-component miscible displacement in fractured media”, submitted.
13. Li-Ming Yeh, “A Moderate-Sized Block Model for Two-Phase flows in Fractured Media”, preprint.
14. Li-Ming Yeh, “Tall Block Models for Two-Phase flows in Porous Media”, preprint.

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