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Table 1

Completion statistics at time t = 1.6 seconds.

Method Starting Δt (s) Number of iterations Computation time (s) Average time per iteration (s)
Explicit 10−5 6605 21.588 3.2684 × 10−3
Wave* 10−5 510 2.7779 5.4469 × 10−3
Wave 10−4 522 2.8059 5.3753 × 10−3
Wave 5 × 10−4 411 2.1555 5.2445 × 10−3
Implicit 10−4 391 5.2934 1.3538 × 10−2
Implicit 5 × 10−4 387 5.2180 1.3483 × 10−2

Notes. Completion statistics for the numerical methods at t = 1.6 seconds with adaptive time-stepping, run on a 2D grid with [256 × 256] grid points. Starred methods have a higher hyper-diffusivity applied. All times are taken for a simulation run on 16 cores in parallel, and exclude processing of output data.

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