Block iterative methods for the nine-point approximation to the convection-diffusion equation

International Journal of Computer Mathematics

Volumn 61, Issue 3-4, 1996, Pages 321-335

  Bhuruth, M ^a,b   Evans, D J ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF MAURITIUS   (Mauritius)

Author keywords

Block alternating group explicit; Block successive over relaxation; Convection diffusion equation; Nine point discretisation; Strides of 3 reduction algorithm

Indexed keywords

BLOCK ALTERNATING GROUP EXPLICIT; BLOCK GAUSS-SEIDEL METHOD; BLOCK JACOBI ITERATION MATRIX; BLOCK SUCCESSIVE OVER RELAXATION; CONVECTION DIFFUSION EQUATION; EIGENSPECTRUM; LINEAR EQUATIONS; NINE POINT DISCRETISATION; UNSYMMETRIC LINEAR SYSTEM;

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR ALGEBRA; MATRIX ALGEBRA; NUMERICAL METHODS; PARALLEL PROCESSING SYSTEMS;

ITERATIVE METHODS;

EID: 0030416862     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169608804519     Document Type: Article

References (5)

1. Elman, H. C. and Golub, G. H. (1989). Iterative methods for cyclically reduced non-selfadjoint linear system. Math. Comp., 54, 671-700.
2. Evans, D. J. and Yousif, W. S. (1987). The block alternating group explicit method (BLAGE) for the solution of elliptic difference equations. Int. J. Comp. Math., 22, 177-185.
3. Evans, D. J. (1992). The Strides Reduction algorithms for solving tridiagonal linear systems, Int. J. Comp. Math., 41, 237-250.
4. Evans, D. J. (1992). Parallel algorithms in Numerical Linear Algebra, Computer Studies, 734, Loughborough University of Technology.
5. Jam, M. K., Jain, R. K. and Mohanty, R. K. (1989). Fourth order difference method for elliptic equations with nonlinear first derivative terms. Numerical Methods for Partial Differential Equations. 5, 87-95