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Numerical solutions to the Eikonal equation are computed using variants ofthe fast marching method, the fast sweeping method, and the fast iterativemethod. In this paper, we provide a unified view of these algorithms thathighlights their similarities and suggests a wider class of Eikonal solvers. Wethen use this framework to justify applying concurrent priority schedulingtechniques to Eikonal solvers. We demonstrate that doing so results in goodparallel performance for a problem from seismology. We explain why existingEikonal solvers may produce different results despite using the samedifferencing scheme and demonstrate techniques to address these discrepancies.These techniques allow us to obtain deterministic output from our asynchronousfine-grained parallel Eikonal solver.

Exploiting Asynchronous Priority Scheduling in Parallel Eikonal Solvers