Case study in scalability: An ADI method for the two-dimensional time-dependent Dirac equation

Parallel Computing

Volumn 25, Issue 5, 1999, Pages 525-533

  Rathe, U W ^a   Sanders, P ^b   Knight, P L ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b MAX PLANCK INSTITUTE FOR INFORMATICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR ALGEBRA; PARALLEL ALGORITHMS;

ALTERNATING DIRECTION IMPLICIT (ADI) METHOD; DIRAC EQUATION;

PARALLEL PROCESSING SYSTEMS;

EID: 0032686215     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8191(99)00011-3     Document Type: Article

References (6)

1. Agüí J.C., Jiménez J. A binary tree implementation of a parallel distributed tridiagonal solver. Parallel Computing. 21:1995;233-241.
2. W.F. Ames. Numerical Methods for Partial Differential Equations, 2nd ed., Academic Press, New York, 1977.
3. Krechel A., Plum H.-J., Stüben K. Parallelization and vectorization aspects of the solution of tridiagonal linear systems. Parallel Computing. 14:1990;31-50.
4. V. Kumar, A. Grama, A. Gupta, G. Karypis. Introduction to Parallel Computing. Design and Analysis of Algorithms. Benjamin/Cummings, Redwood City, Menlo Park, CA, 1994.
5. Mattor N., Willams T.J., Hewett E.W. Algorithm for solving tridiagonal matrix problems in parallel. Parallel Computing. 21:1995;1769-1782.
6. Rathe U.W., Keitel C.H., Protopapas M., Knight P.L. Intense laser-atom dynamics with the two-dimensional Dirac equation. J. Phys.B: At. Mol. Opt. Phys. 30:1997;L531-L539.