Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A DIRECT SOLVER FOR THE LEGENDRE TAU APPROXIMATION FOR THE TWO-DIMENSIONAL POISSON PROBLEM

  • Jun, Se-Ran (University of California at Berkeley) ;
  • Kang, Sung-Kwon (Department of Mathematics, Chosun University) ;
  • Kwon, Yong-Hoon (Department of Mathematics, Pohang University of Science and Technology)
  • Published : 2007.01.31

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Abstract

A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem is proposed. Using the factorization of symmetric eigenvalue problem, the algorithm overcomes the weak points of the Schur decomposition and the conventional diagonalization techniques for the Legendre tau approximation. The convergence of the method is proved and numerical results are presented.

Keywords