國家理論科學研究中心學術演講
NCTS Seminar on Scientific Computations

　

 

  Speaker  :     Professor Ben-Yu Guo (Shanghai Normal University)

  Time      :        PM 3:30, April 13 (Wed.), 2005

   

  Topic     :        A New Generalized Laguerre Spectral Approximation And
                         Its Applications
　

  Abstract  :

Recently, more and more attention has been paid to numerical simulation
of differential equations in science and engineering. In this talk, we
introduce a new family of generalized Laguerre polynomials. Various
orthogonal projections are investigated. Some basic approximation results
are established. As an example of their important applications, the mixed
spherical harmonic-generalized Laguerre approximation is developed. A
mixed  spectral scheme is proposed for a three-dimensional model problem. Its convergence is proved. Numerical results show the high accuracy of this new approach. The proposed method is also applicable to three-dimensional exterior problems.
                 

  Place     :  

Lecture Room B,

National Center for Theoretical Sciences

4th Floor, The 3rd General Building,

National TsingHua University