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A case study in scalability: an ADI method for the two-dimensional time-dependent Dirac equation

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons45344

Sanders,  Peter
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Rathe, U., Sanders, P., & Knight, P. (1999). A case study in scalability: an ADI method for the two-dimensional time-dependent Dirac equation. Parallel Computing, 25(5), 525-534.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-3587-B
Abstract
The dynamics of relativistic atomic wave functions evolving under the influence of intense laser pulses is used as an example of a general class of applications employing the alternating direction implicit method. The method requires the solution of many tridiagonal systems of linear equations. A range of parallel algorithms for this setting are analyzed with respect to their scalability on large parallel machines.