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024 7 _ |a 2168-3417
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037 _ _ |a FZJ-2025-05249
082 _ _ |a 510
100 1 _ |a Muralikrishnan, Sriramkrishnan
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245 _ _ |a Error Analysis and Parallel Scaling Study of a Parareal Parallel-in-Time Integration Algorithm for Particle-in-Fourier Schemes
260 _ _ |a Philadelphia, Pa.
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520 _ _ |a We propose a parareal based time parallelization scheme in the phase-space for the particle-in-Fourier (PIF) discretization of the Vlasov–Poisson system used in kinetic plasma simulations. We use PIF with a coarse tolerance for the nonuniform fast Fourier transforms, or the standard particle-in-cell scheme, combined with temporal coarsening, as coarse propagators. This is different from the typical spatial coarsening of particles and/or Fourier modes for parareal, which are not possible or effective for PIF schemes. We perform an error analysis of the algorithm and verify the results numerically with Landau damping, two-stream instability, and Penning trap test cases in 3D-3V. We also implement the space-time parallelization of the PIF schemes in the open-source, performance-portable library IPPL and conduct scaling studies up to 1536 A100 GPUs on the JUWELS booster supercomputer. The space-time parallelization utilizing the parareal algorithm for the time parallelization provides up to 4–6 times speedup compared to spatial parallelization alone and achieves a push rate of around 1 billion particles per second for the benchmark plasma mini-apps considered.
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700 1 _ |a Speck, Robert
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773 _ _ |a 10.1137/24M1673097
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