Article citationsMore>>

Gutknecht, M.H. (1994) A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II. SIAM Journal on Matrix Analysis and Applications, 15, 15-58.
http://dx.doi.org/10.1137/S0895479890188803

has been cited by the following article:

• TITLE: Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations

  AUTHORS: Xijian Wang

  KEYWORDS: Finite Difference Method, Convection-Diffusion Equation, Discretization Matrix, Iterative Method, Convergence Speed

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.2, June 9, 2015

  ABSTRACT: The paper first introduces two-dimensional convection-diffusion equation with boundary value condition, later uses the finite difference method to discretize the equation and analyzes positive definite, diagonally dominant and symmetric properties of the discretization matrix. Finally, the paper uses fixed point methods and Krylov subspace methods to solve the linear system and compare the convergence speed of these two methods.