A case study in scalability: An ADI method for the two-dimensional time-dependent Dirac equation
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.
dirac equation alternating direction implicit method tridiagonal systems parallel linear algebra scalable algorithm