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Volume 3, Issue 1
Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part

L. A. Krukier, O. A. Pichugina & V. Sokolov

Int. J. Numer. Anal. Mod., 3 (2006), pp. 115-124.

Published online: 2006-03

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  • Abstract

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.

  • Keywords

convection-diffusion problem, central difference approximation, Krylov subspace methods, BiCG, GMRES(10), triangular preconditioners, non-symmetric systems, eigenvalue distribution of matrices.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-115, author = {L. A. Krukier, O. A. Pichugina and V. Sokolov}, title = {Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {1}, pages = {115--124}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/892.html} }
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.

L. A. Krukier, O. A. Pichugina and V. Sokolov. (2006). Numerical Investigation of Krylov Subspace Methods for Solving Non-Symmetric Systems of Linear Equations with Dominant Skew-Symmetric Part. International Journal of Numerical Analysis and Modeling. 3 (1). 115-124. doi:
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