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It can be computationally advantageous to perform computer simulations in aLorentz boosted frame for a certain class of systems. However, even if thecomputer model relies on a covariant set of equations, it has been pointed outthat algorithmic difficulties related to discretization errors may have to beovercome in order to take full advantage of the potential speedup. We summarizethe findings, the difficulties and their solutions, and show that the techniqueenables simulations important to several areas of accelerator physics that areotherwise problematic, including self-consistent modeling in three-dimensionsof laser wakefield accelerator stages at energies of 10 GeV and above.

Speeding up simulations of relativistic systems using an optimal boosted frame