TY - JOUR T1 - Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part AU - L. A. Krukier, O. A. Pichugina & V. Sokolov JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 115 EP - 124 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/892.html KW - convection-diffusion problem, central difference approximation, Krylov subspace methods, BiCG, GMRES(10), triangular preconditioners, non-symmetric systems, eigenvalue distribution of matrices. AB -

Numerical investigation of BiCG and GMRES methods for solving non-symmetric linear equation systems with dominant skew-symmetric part has been presented. Numerical experiments were carried out for the linear system arising from a 5-point central difference approximation of the two dimensional convection-diffusion problem with different velocity coefficients and small parameter at the higher derivative. Behavior of BiCG and GMRES(10) has been compared for such kind of systems.