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Prof.  Yayan LU  (MA)
Email : mayylu@cityu.edu.hk

 More research-related Info.: http://math.cityu.edu.hk/~mayylu

List of Projects involved in as Principal Investigator
  1. Dirichlet-to-Neumann Map Method for Diffraction Gratings (9041316, On-going)
  2. Modeling Photonic Crystal Devices by Dirichlet-to-neumann Maps (9041204, On-going)
  3. Developing Efficient Numerical Methods for Photonic Crystal Slabs (7008054, On-going)
  4. Developing Efficient Numerical Solvers for Optical Microcavities (7002467, On-going)
  5. Waveguide Mode Solver Avoiding Field Singularities at Corners (7002330, On-going)
  6. Computation of Matrix Functions Based on Rational Approximations in the Prime Fraction Form (9030458, Completed)
  7. A Study of the Parabolic Equation and the Split-step Padé Methods (7000605, Completed)
  8. Computation of Sound Propagation in the Ocean by the Riccati Method (9040192, Completed)
  9. Scattering in Periodic Waveguides (7000807, Completed)
  10. On Approximate One-way Equations for Weakly Range Dependent Waveguides (7000946, Completed)
  11. Wave Propagation in Slowly Varying Waveguides (9040464, Completed)
  12. Computation of Matrix Functions (7001229, Completed)
  13. Computation Techniques for Optical Wave-guiding Structures (9040736, Completed)
  14. Large Time Step Method for Wave Propagation Problems (7001289, Completed)
  15. Optimal Design Problems for Optical Wave-guiding Structures (7001440, Completed)
  16. Computation and Optimal Design for Second Harmonic Generation in Waveguides (7001559, Completed)
  17. Approximate Solution Techniques for Scattering Problems in the High Frequency Regime (9050174, Completed)
  18. A Wave Field Decomposition Iterative Method for the Helmholtz Equation in Waveguides (7001800, Completed)
  19. Some Numerical Aspects of the Mode Expansion Propagation Method (7001862, Completed)
  20. Numerical Methods for 3-D Optical Waveguide Modeling (9040974, Completed)
  21. Optimizing Perfectly Matched Layer for Waveguide Simulations (7001943, Completed)
  22. Modeling Waveguides with Embedded Microcavities (7002131, Completed)
  23. Improving the Mode Expansion Propagation Method (9041105, Completed)
List of Projects involved in as Co-Principal Investigator / Co-Investigator
  1. Liu Bie Ju Centre for Mathematical Sciences (University Fund) (9360020, On-going)
  2. Liu Bie Ju Centre for Mathematical Sciences (Donation) (9600007, On-going)